DREYFUS MUNICIPAL MONEY MARKET FUND INC
485BPOS, 1998-09-23
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                                                            File Nos. 2-65232
                                                                     811-2946
                     SECURITIES AND EXCHANGE COMMISSION
                           Washington, D.C. 20549

                                 FORM N-1A

REGISTRATION STATEMENT UNDER THE SECURITIES ACT OF 1933               [X]

     Pre-Effective Amendment No.                                      [  ]
   

     Post-Effective Amendment No. 29                                  [X]
    

                                   and/or

REGISTRATION STATEMENT UNDER THE INVESTMENT COMPANY ACT OF 1940       [X]
   

     Amendment No. 29                                                 [X]
    

                     (Check appropriate box or boxes.)

                 DREYFUS MUNICIPAL MONEY MARKET FUND, INC.
             (Exact Name of Registrant as Specified in Charter)

          c/o The Dreyfus Corporation
          200 Park Avenue, New York, New York          10166
          (Address of Principal Executive Offices)     (Zip Code)

     Registrant's Telephone Number, including Area Code: (212) 922-6000

                            Mark N. Jacobs, Esq.
                              200 Park Avenue
                          New York, New York 10166
                  (Name and Address of Agent for Service)

It is proposed that this filing will become effective (check appropriate
box)

          immediately upon filing pursuant to paragraph (b)
     ----
   

      X   on October 1, 1998 pursuant to paragraph (b)
     ----
    

          60 days after filing pursuant to paragraph (a)(i)
     ----
          on     (date)      pursuant to paragraph (a)(i)
     ----
          75 days after filing pursuant to paragraph (a)(ii)
     ----
          on     (date)      pursuant to paragraph (a)(ii) of Rule 485
     ----

If appropriate, check the following box:

               this post-effective amendment designates a new effective date
          for a
               previously filed post-effective amendment.
     ----
   
    


                 DREYFUS MUNICIPAL MONEY MARKET FUND, INC.
               Cross-Reference Sheet Pursuant to Rule 495(a)
Items in
Part A of
Form N-1A     Caption                                       Page
_________     _______                                       ____

  1  Cover Page                                            Cover

  2  Synopsis                                                3

  3  Condensed Financial Information                         3

  4  General Description of Registrant                     4, 16

  5           Management of the Fund                         6

  5(a)        Management's Discussion of Fund's Performance  *

  6           Capital Stock and Other Securities            16

  7           Purchase of Securities Being Offered           7

  8           Redemption or Repurchase                      12

  9           Pending Legal Proceedings                      *

Items in
Part B of
Form N-1A
- ---------

  10          Cover Page                                   Cover

  11          Table of Contents                            Cover

  12          General Information and History              B-24

  13          Investment Objectives and Policies           B-2

  14          Management of the Fund                       B-8

  15          Control Persons and Principal                B-12
              Holders of Securities

  16          Investment Advisory and Other                B-12
              Services

_____________________________________

NOTE:  * Omitted since answer is negative or inapplicable.
                 DREYFUS MUNICIPAL MONEY MARKET FUND, INC.
         Cross-Reference Sheet Pursuant to Rule 495(a) (continued)
Items in
Part B of
Form N-1A     Caption                                      Page
_________     _______                                      _____

  17          Brokerage Allocation                         B-22

  18          Capital Stock and Other Securities           B-24

  19          Purchase, Redemption and Pricing             B-14; B-16;
              of Securities Being Offered                  B-21

  20          Tax Status                                   *

  21          Underwriters                                 B-14

  22          Calculations of Performance Data             B-22

  23          Financial Statements                         B-29

Items in
Part C of
Form N-1A
_________

  24          Financial Statements and Exhibits            C-1

  25          Persons Controlled by or Under               C-3
              Common Control with Registrant

  26          Number of Holders of Securities              C-3

  27          Indemnification                              C-3

  28          Business and Other Connections of            C-4
              Investment Adviser

  29          Principal Underwriters                       C-11

  30          Location of Accounts and Records             C-14

  31          Management Services                          C-14

  32          Undertakings                                 C-14

_____________________________________

NOTE:  * Omitted since answer is negative or inapplicable.

_______________________________________________________________________________
   

PROSPECTUS                                                     OCTOBER 1, 1998
    
                  DREYFUS MUNICIPAL MONEY MARKET FUND, INC.
_______________________________________________________________________________
        DREYFUS MUNICIPAL MONEY MARKET FUND, INC. (THE "FUND") IS AN
OPEN-END, DIVERSIFIED, MANAGEMENT INVESTMENT COMPANY, KNOWN AS A MONEY MARKET
MUTUAL FUND. THE FUND'S INVESTMENT OBJECTIVE IS TO MAXIMIZE CURRENT INCOME
EXEMPT FROM FEDERAL INCOME TAX TO THE EXTENT CONSISTENT WITH THE PRESERVATION
OF CAPITAL AND THE MAINTENANCE OF LIQUIDITY.
        YOU CAN INVEST, REINVEST OR REDEEM SHARES AT ANY TIME WITHOUT CHARGE
OR PENALTY. THE FUND PROVIDES FREE REDEMPTION CHECKS, WHICH YOU CAN USE IN
AMOUNTS OF $500 OR MORE FOR CASH OR TO PAY BILLS. YOU CONTINUE TO EARN INCOME
ON THE AMOUNT OF THE CHECK UNTIL IT CLEARS. YOU CAN PURCHASE OR REDEEM SHARES
BY TELEPHONE USING DREYFUS TELETRANSFER.
        THE DREYFUS CORPORATION PROFESSIONALLY MANAGES THE FUND'S PORTFOLIO.
        AN INVESTMENT IN THE FUND IS NEITHER INSURED NOR GUARANTEED BY THE
U.S. GOVERNMENT. THERE CAN BE NO ASSURANCE THAT THE FUND WILL BE ABLE TO
MAINTAIN A STABLE NET ASSET VALUE OF $1.00 PER SHARE.
        THIS PROSPECTUS SETS FORTH CONCISELY INFORMATION ABOUT THE FUND THAT
YOU SHOULD KNOW BEFORE INVESTING. IT SHOULD BE READ AND RETAINED FOR FUTURE
REFERENCE.
   

        THE STATEMENT OF ADDITIONAL INFORMATION, DATED OCTOBER 1, 1998, WHICH
MAY BE REVISED FROM TIME TO TIME, PROVIDES A FURTHER DISCUSSION OF CERTAIN
AREAS IN THIS PROSPECTUS AND OTHER MATTERS WHICH MAY BE OF INTEREST TO SOME
INVESTORS. IT HAS BEEN FILED WITH THE SECURITIES AND EXCHANGE COMMISSION AND
IS INCORPORATED HEREIN BY REFERENCE. THE SECURITIES AND EXCHANGE COMMISSION
MAINTAINS A WEB SITE (HTTP://WWW.SEC.GOV) THAT CONTAINS THE STATEMENT OF
ADDITIONAL INFORMATION, MATERIAL INCORPORATED BY REFERENCE, AND OTHER
INFORMATION REGARDING THE FUND. FOR A FREE COPY OF THE STATEMENT OF
ADDITIONAL INFORMATION, WRITE TO THE FUND AT 144 GLENN CURTISS BOULEVARD,
UNIONDALE, NEW YORK 11556-0144, OR CALL 1-800-645-6561. WHEN TELEPHONING, ASK
FOR OPERATOR 144.
    

        MUTUAL FUND SHARES ARE NOT DEPOSITS OR OBLIGATIONS OF, OR GUARANTEED
OR ENDORSED BY, ANY BANK, AND ARE NOT FEDERALLY INSURED BY THE FEDERAL
DEPOSIT INSURANCE CORPORATION, THE FEDERAL RESERVE BOARD, OR ANY OTHER
AGENCY.
_______________________________________________________________________________
<TABLE>
                                                              TABLE OF CONTENTS
<S>                                                   <C>     <C>                                            <C>
                                                      PAGE                                                   PAGE
        ANNUAL FUND OPERATING EXPENSES.....            3      SHAREHOLDER SERVICES..................             9
        CONDENSED FINANCIAL INFORMATION....            3      HOW TO REDEEM SHARES..................            12
        YIELD INFORMATION..................            4      SHAREHOLDER SERVICES PLAN.............            14
        DESCRIPTION OF THE FUND............            4      DIVIDENDS, DISTRIBUTIONS AND TAXES....            14
        MANAGEMENT OF THE FUND.............            6      GENERAL INFORMATION...................            16
        HOW TO BUY SHARES..................            7      APPENDIX..............................            17
</TABLE>
_______________________________________________________________________________
THESE SECURITIES HAVE NOT BEEN APPROVED OR DISAPPROVED BY THE SECURITIES AND
EXCHANGE COMMISSION OR ANY STATE SECURITIES COMMISSION NOR HAS THE SECURITIES
AND EXCHANGE COMMISSION OR ANY STATE SECURITIES COMMISSION PASSED UPON THE
ACCURACY OR ADEQUACY OF THIS PROSPECTUS. ANY REPRESENTATION TO THE CONTRARY
IS A CRIMINAL OFFENSE.
_______________________________________________________________________________

[This Page Intentionally Left Blank]

                         [Page 2]
   
<TABLE>

                                       ANNUAL FUND OPERATING EXPENSES
                                 (as a percentage of average daily net assets)
    Management Fees...........................................................................          .50%
    Other Expenses ...........................................................................          .16%
    Total Fund Operating Expenses.............................................................          .66%
<S>                                                <C>         <C>             <C>            <C>
EXAMPLE:                                           1 YEAR      3 YEARS         5 YEARS        10 YEARS
    You would pay the following expenses on
    a $1,000 investment, assuming (1) 5%
    annual return and (2) redemption at the
    end of each time period:                        $7           $21            $37            $82
    
</TABLE>
_______________________________________________________________________________
THE AMOUNTS LISTED IN THE EXAMPLE SHOULD NOT BE CONSIDERED AS REPRESENTATIVE
OF PAST OR FUTURE EXPENSES AND ACTUAL EXPENSES MAY BE GREATER OR LESS THAN
THOSE INDICATED. MOREOVER, WHILE THE EXAMPLE ASSUMES A 5% ANNUAL RETURN, THE
FUND'S ACTUAL PERFORMANCE WILL VARY AND MAY RESULT IN AN ACTUAL RETURN GREATER
OR LESS THAN 5%.
_______________________________________________________________________________
        The purpose of the foregoing table is to assist you in understanding
the costs and expenses borne by the Fund, the payment of which will reduce
investors' annual return. You can purchase Fund shares without charge
directly from the Fund's distributor; you may be charged a fee if you effect
transactions in Fund shares through a securities dealer, bank or other
financial institution. See "Management of the Fund," "How to Redeem Shares"
and "Shareholder Services Plan."
                          CONDENSED FINANCIAL INFORMATION
        The information in the following table has been audited by Ernst &
Young LLP, the Fund's independent auditors. Further financial data, related
notes and report of independent auditors accompany the Statement of
Additional Information, available upon request.
                               FINANCIAL HIGHLIGHTS
   

        Contained below is per share operating performance data for a share
of Common Stock outstanding, total investment return, ratios to average net
assets and other supplemental data for each year indicated. This information
has been derived from the Fund's financial statements.
    
   
<TABLE>

                                                                     Year Ended May 31,
                             ___________________________________________________________________________________________________
                               1989      1990      1991       1992      1993        1994     1995      1996       1997     1998
                             ______  _________  _________   ________  _________  _________  _______  _______    _______  _______
PERSHAREDATA:
  Net asset value,
<S>                          <C>     <C>        <C>         <C>       <C>        <C>        <C>      <C>        <C>      <C>
  beginning of year..        $ 1.00  $    1.00  $    1.00   $   1.00  $    1.00  $    1.00  $  1.00  $  1.00    $  1.00  $  1.00
                             ______  _________  _________   ________  _________  _________  _______  _______    _______  _______
  INVESTMENT OPERATIONS:
  Investment
  income-net.....              .054       .056       .049       .034       .022       .020     .029     .031       .029     .031
                             ______  _________  _________   ________  _________  _________  _______  _______    _______  _______
  DISTRIBUTIONS:
  Dividends from investment
  income-net....              (.054)     (.056)     (.049)     (.034)     (.022)     (.020)   (.029)   (.031)     (.029)   (.031)
                             ______  _________  _________   ________  _________  _________  _______  _______    _______  _______
  Net asset value, end
  of year.....              $  1.00    $  1.00   $   1.00   $   1.00  $    1.00  $    1.00  $  1.00  $  1.00    $  1.00  $  1.00
                             ======  =========  =========   ========  =========  =========  =======  =======    =======  =======
TOTALINVESTMENTRETURN...       5.53%      5.72%      5.04%      3.46%      2.23%      2.00%    2.98%    3.16%      2.98%    3.13%
RATIOS / SUPPLEMENTALDATA:
  Ratios of expenses to average
  net assets....                .58%       .58%       .59%       .62%       .62%       .62%     .62%     .64%       .65%     .66%
  Ratios of net investment
  income to average
  net assets..........         5.37%      5.59%      4.95%      3.41%      2.22%      1.98%    2.91%    3.11%      2.94%    3.08%
  Net Assets, end of year
   (000's omitted).....  $2,179,515 $2,164,461 $1,818,864 $1,498,772 $1,413,815 $1,117,002 $933,311 $950,598 $1,024,649 $903,717
    
</TABLE>

                         [Page 3]
                              YIELD INFORMATION
        From time to time, the Fund advertises its yield and effective yield.
Both yield figures are based on historical earnings and are not intended to
indicate future performance. It can be expected that these yields will
fluctuate substantially. The yield of the Fund refers to the income generated
by an investment in the Fund over a seven-day period (which period will be
stated in the advertisement). This income is then annualized. That is, the
amount of income generated by the investment during that week is assumed to
be generated each week over a 52-week period and is shown as a percentage of
the investment. The effective yield is calculated similarly, but, when
annualized, the income earned by an investment in the Fund is assumed to be
reinvested. The effective yield will be slightly higher than the yield
because of the compounding effect of this assumed reinvestment. The Fund's
yield and effective yield may reflect absorbed expenses pursuant to any
undertaking that may be in effect. See "Management of the Fund."
        Tax equivalent yield is calculated by determining the pre-tax yield
which, after being taxed at a stated rate, would be equivalent to a stated
yield or effective yield calculated as described above.
        Yield information is useful in reviewing the Fund's performance, but
because yields will fluctuate, such information under certain conditions may
not provide a basis for comparison with domestic bank deposits, other
investments which pay a fixed yield for a stated period of time, or other
investment companies which may use a different method of computing yield.
        Comparative performance information may be used from time to time in
advertising or marketing the Fund's shares, including data from Lipper
Analytical Services, Inc., Bank Rate Monitortrademark, N. Palm Beach, Fla.
33408, IBC's Money Fund Reporttrademark, Morningstar, Inc. and other industry
publications.
                             DESCRIPTION OF THE FUND
INVESTMENT OBJECTIVE
        The Fund's investment objective is to maximize current income exempt
from Federal income tax to the extent consistent with the preservation of
capital and the maintenance of liquidity. To accomplish its investment
objective, the Fund invests primarily in Municipal Obligations (described
below). The Fund's investment objective cannot be changed without approval by
the holders of a majority (as defined in the Investment Company Act of 1940,
as amended (the "1940 Act")) of the Fund's outstanding voting shares. There
can be no assurance that the Fund's investment objective will be achieved.
Securities in which the Fund will invest may not earn as high a level of
current income as long-term or lower quality securities which generally have
less liquidity, greater market risk and more fluctuation in market value.
MUNICIPAL OBLIGATIONS
   

        Municipal Obligations are debt obligations issued by states,
territories and possessions of the United States and the District of Columbia
and their political subdivisions, agencies and instrumentalities, or
multistate agencies or authorities, the interest from which is, in the
opinion of bond counsel to the issuer, exempt from Federal income tax.
Municipal Obligations generally include debt obligations issued to obtain
funds for various public purposes as well as certain industrial development
bonds issued by or on behalf of public authorities. Municipal Obligations are
classified as general obligation bonds, revenue bonds and notes. General
obligation bonds are secured by the issuer's pledge of its faith, credit and
taxing power for the payment of principal and interest. Revenue bonds are
payable from the revenue derived from a particular facility or class of
facilities or, in some cases, from the proceeds of a special excise or other
specific revenue source, but not from the general taxing power. Tax exempt
industrial development bonds, in most cases, are revenue bonds that do not
carry the pledge of the credit of the issuing municipality, but generally are
guaranteed by the corporate entity on whose behalf they are issued. Notes are
short-term instruments which are obligations of the issuing municipalities or
agencies and are sold in anticipation of a bond sale, collection of taxes or
receipt of other revenues. Municipal Obligations include municipal
lease/purchase agreements which are similar to installment purchase contracts

                         [Page 4]
for property or equipment issued by municipalities. Municipal
Obligations bear fixed, floating or variable rates of interest.
    

MANAGEMENT POLICIES
        It is a fundamental policy of the Fund that it will invest at least
80% of the value of its net assets (except when maintaining a temporary
defensive position) in Municipal Obligations. The Fund also may invest in
Taxable Investments of the quality described under "Appendix_Certain
Portfolio Securities_Taxable Investments."
   

        The Fund seeks to maintain a net asset value of $1.00 per share for
purchases and redemptions. To do so, the Fund uses the amortized cost method
of valuing its securities pursuant to Rule 2a-7 under the 1940 Act, which
Rule includes various maturity, quality and diversification requirements,
certain of which are summarized as follows. In accordance with Rule 2a-7, the
Fund is required to maintain a dollar-weighted average portfolio maturity of
90 days or less, purchase only instruments having remaining maturities of 13
months or less and invest only in U.S. dollar denominated securities
determined in accordance with procedures established by the Fund's Board to
present minimal credit risks and which are rated in one of the two highest
rating categories for debt obligations by at least two nationally recognized
statistical rating organizations (or one rating organization if the
instrument was rated only by one such organization) or, if unrated, are of
comparable quality as determined in accordance with procedures established by
the Fund's Board. Moreover, the Fund will purchase commercial paper, or other
instruments having only commercial paper ratings, only if the security is
rated in the highest rating category by at least one nationally recognized
statistical rating organization or, if unrated, of comparable quality as
determined in accordance with such procedures. The nationally recognized
statistical rating organizations currently rating investments of the type the
Fund may purchase are Moody's Investors Service, Inc. ("Moody's"), Standard &
Poor's Ratings Group ("S&P") and Fitch IBCA, Inc. ("Fitch") and their rating
criteria are described in the "Appendix" to the Statement of Additional
Information. For further information regarding the amortized cost method of
valuing securities, see "Determination of Net Asset Value" in the Statement
of Additional Information. There can be no assurance that the Fund will be
able to maintain a stable net asset value of $1.00 per share.
    

        From time to time, the Fund may invest more than 25% of the value of
its total assets in industrial development bonds which, although issued by
industrial development authorities, may be backed only by the assets and
revenues of the non-governmental users. Interest on Municipal Obligations
(including certain industrial development bonds) which are specified private
activity bonds, as defined in the Internal Revenue Code of 1986, as amended
(the "Code"), issued after August 7, 1986, while exempt from Federal income
tax, is a preference item for the purpose of the alternative minimum tax.
Where a regulated investment company receives such interest, a proportionate
share of any exempt-interest dividend paid by the investment company may be
treated as such a preference item to shareholders. The Fund may invest
without limitation in such Municipal Obligations if The Dreyfus Corporation
determines that their purchase is consistent with the Fund's investment
objective. See "Investment Considerations and Risks" below.
INVESTMENT CONSIDERATIONS AND RISKS
GENERAL _ Even though interest-bearing securities are investments which
promise a stable stream of income, the prices of such securities are
inversely affected by changes in interest rates and, therefore, are subject
to the risk of market price fluctuations. The value of fixed-income
securities also may be affected by changes in the credit rating or financial
conditions of the issuing entities.
INVESTING IN MUNICIPAL OBLIGATIONS _ The Fund may invest more than 25% of
the value of its total assets in Municipal Obligations which are related in
such a way that an economic, business or political development or change
affecting one such security also would affect the other securities; for
example, securities
                         [Page 5]
the interest upon which is paid from revenues of similar types of
projects, or securities whose issuers are located in the same state. As a
result, the Fund may be subject to greater risk as compared to a fund that
does not follow this practice.
        Certain municipal lease/purchase obligations in which the Fund may
invest may contain "non-appropriation" clauses which provide that the
municipality has no obligation to make lease payments in future years unless
money is appropriated for such purpose on a yearly basis. Although
"non-appropriation" lease/purchase obligations are secured by the leased
property, disposition of the leased property in the event of foreclosure
might prove difficult. In evaluating the credit quality of a municipal
lease/purchase obligation that is unrated, The Dreyfus Corporation will
consider, on an ongoing basis, a number of factors including the likelihood
that the issuing municipality will discontinue appropriating funding for the
leased property.
        Certain provisions in the Code relating to the issuance of Municipal
Obligations may reduce the volume of Municipal Obligations qualifying for
Federal tax exemption. One effect of these provisions could be to increase
the cost of the Municipal Obligations available for purchase by the Fund and
thus reduce available yield. Shareholders should consult their tax advisers
concerning the effect of these provisions on an investment in the Fund.
Proposals that may restrict or eliminate the income tax exemption for
interest on Municipal Obligations may be introduced in the future. If any
such proposal were enacted that would reduce the availability of Municipal
Obligations for investment by the Fund so as to adversely affect Fund
shareholders, the Fund would reevaluate its investment objective and policies
and submit possible changes in the Fund's structure to shareholders for their
consideration. If legislation were enacted that would treat a type of
Municipal Obligation as taxable, the Fund would treat such security as a
permissible Taxable Investment within the applicable limits set forth herein.
SIMULTANEOUS INVESTMENTS _ Investment decisions for the Fund are made
independently from those of other investment companies advised by The Dreyfus
Corporation. If, however, such other investment companies desire to invest
in, or dispose of, the same securities as the Fund, available investments or
opportunities for sales will be allocated equitably to each investment
company. In some cases, this procedure may adversely affect the size of the
position obtained for or disposed of by the Fund or the price paid or
received by the Fund.
   
Year 2000 Risks _ Like other mutual funds, financial and business
organizations and individuals around the world, the Fund could be adversely
affected if the computer systems used by The Dreyfus Corporation and the
Fund's other service providers do not properly process and calculate
date-related information and data from and after January 1, 2000. This is
commonly known as the "Year 2000 Problem." The Dreyfus Corporation is taking
steps to address the Year 2000 Problem with respect to the computer systems
that it uses and to obtain assurances that comparable steps are being taken
by the Fund's other major service providers. At this time, however, there can
be no assurance that these steps will be sufficient to avoid any adverse
impact on the Fund.
    

                           MANAGEMENT OF THE FUND
   
INVESTMENT ADVISER_The Dreyfus Corporation, located at 200 Park Avenue, New
York, New York 10166, was formed in 1947 and serves as the Fund's investment
adviser. The Dreyfus Corporation is a wholly-owned subsidiary of Mellon Bank,
N.A., which is a wholly-owned subsidiary of Mellon Bank Corporation
("Mellon"). As of August 31, 1998, The Dreyfus Corporation managed or
administered approximately $105 billion in assets for approximately 1.8
million investor accounts nationwide.
    

        The Dreyfus Corporation supervises and assists in the overall
management of the Fund's affairs under a Management Agreement with the Fund,
subject to the authority of the Fund's Board in accordance with Maryland law.
   

          Mellon is a publicly owned multibank holding company incorporated
under Pennsylvania law in 1971 and registered under the Federal Bank Holding
Company Act of 1956, as amended. Mellon provides
                         [Page 6]
a comprehensive range of financial products and services in
domestic and selected international markets. Mellon is among the twenty-five
largest bank holding companies in the United States based on total assets.
Mellon's principal wholly-owned subsidiaries are Mellon Bank, N.A., Mellon
Bank (DE) National Association, Mellon Bank (MD), The Boston Company, Inc.,
AFCOCredit Corporation and a number of companies known as Mellon Financial
Services Corporations. Through its subsidiaries, including The Dreyfus
Corporation, Mellon managed more than $250 billion in assets as of June 30,
1998, including approximately $125 billion in mutual fund assets. As of June
30, 1998, Mellon, through various subsidiaries, provided non-investment
services, such as custodial and administration services, for more than $1.791
trillion in assets, including approximately $54 billion in mutual fund
assets.
    
   
        For the fiscal year ended May 31, 1998, the Fund paid The Dreyfus
Corporation a monthly management fee at the annual rate of .50 of 1% of the
value of the Fund's average daily net assets. From time to time, The Dreyfus
Corporation may waive receipt of its fees and/or voluntarily assume certain
expenses of the Fund, which would have the effect of lowering the expense
ratio of the Fund and increasing yield to investors. The Fund will not pay
The Dreyfus Corporation at a later time for any amounts it may waive, nor
will the Fund reimburse The Dreyfus Corporation for any amounts it may
assume.
    
   
        In allocating brokerage transactions, The Dreyfus Corporation seeks
to obtain the best execution of orders at the most favorable net price.
Subject to this determination, The Dreyfus Corporation may consider, among
other things, the receipt of research services and/or the sale of shares of
the Fund or other funds managed, advised or administered by The Dreyfus
Corporation or its affiliates as factors in the selection of broker-dealers
to execute portfolio transactions for the Fund. See "Portfolio Transactions"
in the Statement of Additional Information.
    

        The Dreyfus Corporation may pay the Fund's distributor for
shareholder services from The Dreyfus Corporation's own assets, including
past profits but not including the management fee paid by the Fund. The
Fund's distributor may use part or all of such payments to pay securities
dealers, banks or other financial institutions in respect of these services.
DISTRIBUTOR _ The Fund's distributor is Premier Mutual Fund Services, Inc.
(the "Distributor"), located at 60 State Street, Boston,Massachusetts 02109.
The Distributor's ultimate parent is Boston Institutional Group, Inc.
TRANSFER AND DIVIDEND DISBURSING AGENT AND CUSTODIAN _ Dreyfus Transfer,
Inc., a wholly-owned subsidiary of The Dreyfus Corporation, P.O. Box 9671,
Providence, Rhode Island 02940-9671, is the Fund's Transfer and Dividend
Disbursing Agent (the "Transfer Agent"). The Bank of New York, 90 Washington
Street, New York, New York 10286, is the Fund's Custodian.
                           HOW TO BUY SHARES
        Fund shares are sold without a sales charge. You may be charged a
nominal fee if you effect transactions in Fund shares through a securities
dealer, bank or other financial institution. Stock certificates are issued
only upon your written request. No certificates are issued for fractional
shares. It is not recommended that the Fund be used as a vehicle for Keogh,
IRA or other qualified plans. The Fund reserves the right to reject any
purchase order.
        The minimum initial investment is $2,500, or $1,000 if you are a
client of a securities dealer, bank or other financial institution which
maintains an omnibus account in the Fund and has made an aggregate minimum
initial purchase for its customers of $2,500. Subsequent investments must be
at least $100. The initial investment must be accompanied by the Account
Application. For full-time or part-time employees of The Dreyfus Corporation
or any of its affiliates or subsidiaries, directors of The Dreyfus
Corporation, Board members of a fund advised by The Dreyfus Corporation,
including members of the Fund's Board, or the spouse or minor child of any of
the foregoing, the minimum initial investment is $1,000. For full-time or
part-time employees of The Dreyfus Corporation or any of its
                         [Page 7]
affiliates or subsidiaries who elect to have a portion of their pay directly
deposited into their Fund accounts, the minimum initial investment is $50.
The Fund reserves the right to vary further the initial and subsequent
investment minimum requirements at any time. Fund shares also are offered
without regard to the minimum initial investment requirements through
Dreyfus-AUTOMATIC Asset BuilderRegistration Mark, Dreyfus Government Direct
Deposit Privilege or Dreyfus Payroll Savings Plan pursuant to the Dreyfus
Step Program described under "Shareholder Services." These services enable
you to make regularly scheduled investments and may provide you with a
convenient way to invest for long-term financial goals. You should be aware,
however, that periodic investment plans do not guarantee a profit and will
not protect an investor against loss in a declining market.
        You may purchase Fund shares by check or wire, or through the Dreyfus
TELETRANSFER Privilege described below. Checks should be made payable to "The
Dreyfus Family of Funds." Payments to open new accounts which are mailed
should be sent to The Dreyfus Family of Funds, P.O. Box 9387, Providence,
Rhode Island 02940-9387, together with your Account Application. For
subsequent investments, your Fund account number should appear on the check
and an investment slip should be enclosed and sent to The Dreyfus Family of
Funds, P.O. Box 105, Newark, New Jersey 07101-0105. Neither initial nor
subsequent investments should be made by third party check. Purchase orders
may be delivered in person only to a Dreyfus Financial Center. THESE ORDERS
WILL BE FORWARDED TO THE FUND AND WILL BE PROCESSED ONLY UPON RECEIPT THEREBY.
For the location of the nearest Dreyfus Financial Center, please call one of
the telephone numbers listed under "General Information."
        Wire payments may be made if your bank account is in a commercial
bank that is a member of the Federal Reserve System or any other bank having
a correspondent bank in New York City. Immediately available funds may be
transmitted by wire to The Bank of New York, DDA#8900052368/Dreyfus Municipal
Money Market Fund, Inc., for purchase of Fund shares in your name. The wire
must include your Fund account number (for new accounts, your Taxpayer
Identification Number ("TIN") should be included instead), account
registration and dealer number, if applicable. If your initial purchase of
Fund shares is by wire, please call 1-800-645-6561 after completing your wire
payment to obtain your Fund account number.Please include your Fund account
number on the Account Application and promptly mail the Account Application
to the Fund, as no redemptions will be permitted until the Account
Application is received. You may obtain further information about remitting
funds in this manner from your bank. All payments should be made in U.S.
dollars and, to avoid fees and delays, should be drawn only on U.S. banks. A
charge will be imposed if any check used for investment in your account does
not clear. The Fund makes available to certain large institutions the ability
to issue purchase instructions through compatible computer facilities.
        Subsequent investments also may be made by electronic transfer of
funds from an account maintained in a bank or other domestic financial
institution that is an Automated Clearing House member. You must direct the
institution to transmit immediately available funds through the Automated
Clearing House to The Bank of New York with instructions to credit your Fund
account. The instructions must specify your Fund account registration and
your Fund account number PRECEDED BY THE DIGITS "1111."
   

        Fund shares are sold on a continuous basis at the net asset value per
share next determined after an order in proper form and Federal Funds (monies
of member banks within the Federal Reserve System which are held on deposit
at a Federal Reserve Bank) are received by the Transfer Agent or other entity
authorized to receive orders on behalf of the Fund. If you do not remit
Federal Funds, your payment must be converted into Federal Funds. This
usually occurs within one business day of receipt of a bank wire and within
two business days of receipt of a check drawn on a member bank of the Federal
Reserve System. Checks drawn on banks which are not members of the Federal
Reserve System may take considerably longer to convert into Federal Funds.
Prior to receipt of Federal Funds, your money will not be invested.
    

                         [Page 8]
        The Fund's net asset value per share is determined as of 12:00 Noon,
New York time, on each day the New York Stock Exchange is open for business.
Net asset value per share is computed by dividing the value of the Fund's net
assets (i.e., the value of its assets less liabilities) by the total number of
shares outstanding. See "Determination of Net Asset Value" in the Statement of
Additional Information.

        If your payments are received in or converted into Federal Funds by
12:00 Noon, New York time, by the Transfer Agent, you will receive the
dividend declared that day. If your payments are received in or converted
into Federal Funds after 12:00 Noon, New York time, by the Transfer Agent,
you will begin to accrue dividends on the following business day.
        Qualified institutions may telephone orders for the purchase of Fund
shares. These orders will become effective at the price determined at 12:00
Noon, New York time, and the shares purchased will receive the dividend on
Fund shares declared on that day, if the telephone order is placed by 12:00
Noon, New York time, and Federal Funds are received by 4:00 p.m., New York
time, on that day.
        Federal regulations require that you provide a certified TIN upon
opening or reopening an account. See "Dividends, Distributions and Taxes" and
the Account Application for further information concerning this requirement.
Failure to furnish a certified TIN to the Fund could subject you to a $50
penalty imposed by the Internal Revenue Service (the "IRS").
DREYFUS TELETRANSFER PRIVILEGE _ You may purchase shares (minimum $500,
maximum $150,000 per day) by telephone if you have checked the appropriate
box and supplied the necessary information on the Account Application or have
filed a Shareholder Services Form with the Transfer Agent. The proceeds will
be transferred between the bank account designated in one of these documents
and your Fund account. Only a bank account maintained in a domestic financial
institution which is an Automated Clearing House member may be so designated.
The Fund may modify or terminate this Privilege at any time or charge a
service fee upon notice to shareholders. No such fee currently is
contemplated.
        If you have selected the Dreyfus TELETRANSFER Privilege, you may
request a Dreyfus TELETRANSFER purchase of shares by calling 1-800-645-6561
or, if you are calling from overseas, call 516-794-5452.
PROCEDURES FOR MULTIPLE ACCOUNTS _ Special procedures have been designed for
banks and other institutions that wish to open multiple accounts. The
institution may open a single master account by filing one application with
the Transfer Agent, and may open individual sub-accounts at the same time or
at some later date. For further information, please refer to the Statement of
Additional Information.
                             SHAREHOLDER SERVICES
FUND EXCHANGES
   

        You may purchase, in exchange for shares of the Fund, shares of
certain other funds managed or administered by The Dreyfus Corporation, to
the extent such shares are offered for sale in your state of residence. These
funds have different investment objectives which may be of interest to you.
If you desire to use this service, please call 1-800-645-6561 to determine if
it is available and whether any conditions are imposed on its use. If you are
calling from overseas, call 516-794-5452.
    
   
        To request an exchange, you must give exchange instructions to the
Transfer Agent in writing or by telephone. Before any exchange, you must
obtain and should review a copy of the current prospectus of the fund into
which the exchange is being made. Prospectuses may be obtained by calling
1-800-645-6561. Except in the case of personal retirement plans, the shares
being exchanged must have a current value of at least $500; furthermore, when
establishing a new account by exchange, the shares being exchanged must have
a value of at least the minimum initial investment required for the fund into
which the exchange is being made. The ability to issue exchange instructions
by telephone is given to all shareholders automatically, unless you check the
applicable "No" box on the Account Application, indicating that you
specifically refuse this Privilege. The Telephone Exchange Privilege may be
established
                         [Page 9]
for an existing account by written request signed by all shareholders on the
account, by a separate signed Shareholder Services Form, or by oral request
from any of the authorized signatories on the account. If you have
established the Telephone Exchange Privilege, you may telephone exchange
instructions (including over The Dreyfus TouchRegistration Mark automated
telephone system) by calling one of the telephone numbers set forth above.
See "How to Redeem Shares_Procedures." Upon an exchange into a new account,
the following shareholder services and privileges, as applicable and where
available, will be automatically carried over to the fund into which the
exchange is made: Telephone Exchange Privilege, Check Redemption Privilege,
Wire Redemption Privilege, Telephone Redemption Privilege, Dreyfus
TELETRANSFER Privilege and the dividend/capital gain distribution option
(except for Dreyfus Dividend Sweep) selected by the investor.
    

        Shares will be exchanged at the next determined net asset value;
however, a sales load may be charged with respect to exchanges into funds
sold with a sales load. If you are exchanging into a fund that charges a
sales load, you may qualify for share prices which do not include the sales
load or which reflect a reduced sales load, if the shares you are exchanging
were: (a) purchased with a sales load, (b) acquired by a previous exchange
from shares purchased with a sales load, or (c) acquired through reinvestment
of dividends or distributions paid with respect to the foregoing categories
of shares. To qualify, at the time of the exchange you must notify the
Transfer Agent. Any such qualification is subject to confirmation of your
holdings through a check of appropriate records. See "Shareholder Services"
in the Statement of Additional Information. No fees currently are charged
shareholders directly in connection with exchanges, although the Fund
reserves the right, upon not less than 60 days' written notice, to charge
shareholders a nominal administrative fee in accordance with rules
promulgated by the Securities and Exchange Commission. The Fund reserves the
right to reject any exchange request in whole or in part. The availability of
Fund Exchanges may be modified or terminated at any time upon notice to
shareholders. See "Dividends, Distributions and Taxes."
DREYFUS AUTO-EXCHANGE PRIVILEGE
        Dreyfus Auto-Exchange Privilege enables you to invest regularly (on a
semi-monthly, monthly, quarterly or annual basis), in exchange for shares of
the Fund, in shares of certain other funds in the Dreyfus Family of Funds of
which you are a shareholder. The amount you designate, which can be expressed
either in terms of a specific dollar or share amount ($100 minimum), will be
exchanged automatically on the first and/or fifteenth of the month according
to the schedule you have selected. Shares will be exchanged at the
then-current net asset value; however, a sales load may be charged with
respect to exchanges into funds sold with a sales load. See "Shareholder
Services" in the Statement of Additional Information. The right to exercise
this Privilege may be modified or cancelled by the Fund or the Transfer
Agent. You may modify or cancel your exercise of this Privilege at any time
by mailing written notification to The Dreyfus Family of Funds, P.O. Box
9671, Providence, Rhode Island 02940-9671. The Fund may charge a service fee
for the use of this Privilege. No such fee currently is contemplated. For
more information concerning this Privilege and the funds in the Dreyfus
Family of Funds eligible to participate in this Privilege, or to obtain a
Dreyfus Auto-Exchange Authorization Form, please call toll free
1-800-645-6561. See "Dividends, Distributions and Taxes."

DREYFUS-AUTOMATIC ASSET BUILDERRegistration Mark
   

        Dreyfus-Automatic Asset BuilderRegistration Mark permits you to
purchase Fund shares (minimum of $100 and maximum of $150,000 per
transaction) at regular intervals selected by you. Fund shares are purchased
by transferring funds from the bank account designated by you. Only an
account maintained at a domestic financial institution which is an Automated
Clearing House member may be so designated. To establish a Dreyfus-Automatic
Asset BuilderRegistration Mark account, you must file an authorization form
with the Transfer Agent. You may obtain the necessary authorization form by
calling 1-800-645-6561. You may cancel your participation in this Privilege
or change the amount of purchase at any time by mailing written

                         [Page 10]
notification to The Dreyfus Family of Funds, P.O. Box 9671, Providence,
Rhode Island 02940-9671, and the notification will be effective three
business days following receipt. The Fund may modify or terminate this
Privilege at any time or charge a service fee. No such fee currently is
contemplated.
    

DREYFUS GOVERNMENT DIRECT DEPOSIT PRIVILEGE
        Dreyfus Government Direct Deposit enables you to purchase Fund shares
(minimum of $100 and maximum of $50,000 per transaction) by having Federal
salary, Social Security, or certain veterans', military or other payments
from the Federal government automatically deposited into your Fund account.
You may deposit as much of such payments as you elect. To enroll in Dreyfus
Government Direct Deposit, you must file with the Transfer Agent a completed
Direct Deposit Sign-Up Form for each type of payment that you desire to
include in this Privilege. The appropriate form may be obtained by calling
1-800-645-6561. Death or legal incapacity will terminate your participation
in this Privilege. You may elect at any time to terminate your participation
by notifying in writing the appropriate Federal agency. The Fund may
terminate your participation upon 30 days' notice to you.
DREYFUS PAYROLL SAVINGS PLAN
        Dreyfus Payroll Savings Plan permits you to purchase Fund shares
(minimum of $100 per transaction) automatically on a regular basis. Depending
upon your employer's direct deposit program, you may have part or all of your
paycheck transferred to your existing Dreyfus account electronically through
the Automated Clearing House system at each pay period. To establish a
Dreyfus Payroll Savings Plan account, you must file an authorization form
with your employer's payroll department. Your employer must complete the
reverse side of the form and return it to The Dreyfus Family of Funds, P.O.
Box 9671, Providence, Rhode Island 02940-9671. You may obtain the necessary
authorization form by calling 1-800-645-6561. You may change the amount of
purchase or cancel the authorization only by written notification to your
employer. It is the sole responsibility of your employer, not the
Distributor, The Dreyfus Corporation, the Fund, the Transfer Agent or any
other person, to arrange for transactions under the Dreyfus Payroll Savings
Plan. The Fund may modify or terminate this Privilege at any time or charge a
service fee. No such fee currently is contemplated.
DREYFUS STEP PROGRAM
          Dreyfus Step Program enables you to purchase Fund shares without
regard to the Fund's minimum initial investment requirements through
Dreyfus-AUTOMATIC Asset BuilderRegistration Mark, Dreyfus Government Direct
Deposit Privilege or Dreyfus Payroll Savings Plan. To establish a Dreyfus Step
Program account, you must supply the necessary information on the Account
Application and file the required authorization form(s) with the Transfer
Agent. For more information concerning this Program, or to request the
necessary authorization form(s), please call toll free 1-800-782-6620. You
may terminate your participation in this Program at any time by discontinuing
your participation in Dreyfus-AUTOMATIC Asset BuilderRegistration Mark,
Dreyfus Government Direct Deposit Privilege or Dreyfus Payroll Savings Plan,
as the case may be, as provided under the terms of such Privilege(s). The
Fund may modify or terminate this Program at any time.
DREYFUS DIVIDEND OPTIONS
          Dreyfus Dividend Sweep enables you to invest automatically
dividends or dividends and capital gain distributions, if any, paid by the
Fund in shares of another fund in the Dreyfus Family of Funds of which you
are a shareholder. Shares of the other fund will be purchased at the
then-current net asset value; however, a sales load may be charged with
respect to investments in shares of a fund sold with a sales load. If you are
investing in a fund that charges a sales load, you may qualify for share
prices which do not include the sales load or which reflect a reduced sales
load. If you are investing in a fund that charges a contingent deferred sales
charge, the shares purchased will be subject on redemption to the contingent
deferred sales charge, if any, applicable to the purchased shares. See
"Shareholder Services" in the Statement of Additional Information. Dreyfus
Dividend ACH permits you to transfer electronically dividends or dividends
and capital gain distributions, if any, from the Fund to a designated bank

                         [Page 11]
account. Only an account maintained at a domestic financial
institution which is an Automated Clearing House member may be so designated.
Banks may charge a fee for this service.
          For more information concerning these privileges or to request a
Dividend Options Form, please call toll free 1-800-645-6561. You may cancel
these privileges by mailing written notification to The Dreyfus Family of
Funds, P.O. Box 9671, Providence, Rhode Island 02940-9671. To select a new
fund after cancellation, you must submit a new Dividend Options Form.
Enrollment in or cancellation of these privileges is effective three business
days following receipt. These privileges are available only for existing
accounts and may not be used to open new accounts. Minimum subsequent
investments do not apply for Dreyfus Dividend Sweep. The Fund may modify or
terminate these privileges at any time or charge a service fee. No such fee
currently is contemplated.
AUTOMATIC WITHDRAWAL PLAN
          The Automatic Withdrawal Plan permits you to request withdrawal of
a specified dollar amount (minimum of $50) on either a monthly or quarterly
basis if you have a $5,000 minimum account. An Automatic Withdrawal Plan may
be established by filing an Automatic Withdrawal Plan application with the
Transfer Agent or by oral request from any of the authorized signatories on
the account by calling 1-800-645-6561. The Automatic Withdrawal Plan may be
ended at any time by you, the Fund or the Transfer Agent. Shares for which
certificates have been issued may not be redeemed through the Automatic
Withdrawal Plan.
                            HOW TO REDEEM SHARES
GENERAL
   

        You may request redemption of your shares at any time. Redemption
requests should be transmitted to the Transfer Agent as described below. When
a request is received in proper form by the Transfer Agent or other entity
authorized to receive orders on behalf of the Fund, the Fund will redeem the
shares at the next determined net asset value.
    

        The Fund imposes no charges when shares are redeemed. Securities
dealers, banks and other financial institutions may charge their clients a
fee for effecting redemptions of Fund shares. Any certificates representing
Fund shares being redeemed must be submitted with the redemption request. The
value of the shares redeemed may be more or less than their original cost,
depending upon the Fund's then-current net asset value.
        If a redemption request in proper form is received by the Transfer
Agent by 12:00 Noon, New York time, on a business day, shares will be
redeemed at the net asset value determined on that day. If the request is
received later that day by the Transfer Agent, shares will be redeemed at the
next determined net asset value.
        The Fund ordinarily will make payment for all shares redeemed within
seven days after receipt by the Transfer Agent of a redemption request in
proper form, except as provided by the rules of the Securities and Exchange
Commission. HOWEVER, IF YOU HAVE PURCHASED FUND SHARES BY CHECK, BY DREYFUS
TELETRANSFER PRIVILEGE OR THROUGH DREYFUS-AUTOMATIC ASSET BUILDERRegistration
Mark AND SUBSEQUENTLY SUBMIT A WRITTEN REDEMPTION REQUEST TO THE TRANSFER
AGENT, YOUR REDEMPTION WILL BE EFFECTIVE AND THE REDEMPTION PROCEEDS WILL BE
TRANSMITTED TO YOU PROMPTLY UPON BANK CLEARANCE OF YOUR PURCHASE CHECK,
DREYFUS TELETRANSFER PURCHASE OR DREYFUS-AUTOMATIC ASSET BUILDER ORDER, WHICH
MAY TAKE UP TO EIGHT BUSINESS DAYS OR MORE. IN ADDITION, THE FUND WILL NOT
HONOR REDEMPTION CHECKS UNDER THE CHECK REDEMPTION PRIVILEGE, AND WILL REJECT
REQUESTS TO REDEEM SHARES BY WIRE OR TELEPHONE OR PURSUANT TO THE DREYFUS
TELETRANSFER PRIVILEGE, FOR A PERIOD OF EIGHT BUSINESS DAYS AFTER RECEIPT BY
THE TRANSFER AGENT OF THE PURCHASE CHECK, THE DREYFUS TELETRANSFER PURCHASE
OR THE DREYFUS-AUTOMATIC ASSET BUILDER ORDER AGAINST WHICH SUCH REDEMPTION IS
REQUESTED. THESE PROCEDURES WILL NOT APPLY IF YOUR SHARES WERE PURCHASED BY
WIRE PAYMENT, OR IF YOU OTHERWISE

                         [Page 12]
HAVE A SUFFICIENT COLLECTED BALANCE IN YOUR ACCOUNT TO COVER THE REDEMPTION
REQUEST. PRIOR TO THE TIME ANY REDEMPTION IS EFFECTIVE, DIVIDENDS ON SUCH
SHARES WILL ACCRUE AND BE PAYABLE, AND YOU WILL BE ENTITLED TO EXERCISE ALL
OTHER RIGHTS OF BENEFICIAL OWNERSHIP. Fund shares will not be redeemed until
the Transfer Agent has received your Account Application.
        The Fund reserves the right to redeem your account upon not less than
45 days' written notice if your account's net asset value is $500 or less and
remains so during the notice period.
PROCEDURES
          You may redeem shares by using the regular redemption procedure
through the Transfer Agent, or through the Telephone Redemption Privilege or
the Check Redemption Privilege which are granted automatically unless you
specifically refuse them by checking the applicable "No" box on the Account
Application. The Telephone Redemption Privilege and Check Redemption
Privilege may be established for an existing account by a separate signed
Shareholder Services Form or, with respect to the Telephone Redemption
Privilege, by oral request from any of the authorized signatories on the
account by calling
          1-800-645-6561. You also may redeem shares through the Wire
Redemption Privilege or the Dreyfus TELETRANSFER Privilege if you have
checked the appropriate box and supplied the necessary information on the
Account Application or have filed a Shareholder Services Form with the
Transfer Agent. The Fund makes available to certain large institutions the
ability to issue redemption instructions through compatible computer
facilities. TheFund reserves the right to refuse any request made by wire or
telephone, including requests made shortly after a change of address, and may
limit the amount involved or the number of such requests. The Fund may modify
or terminate any redemption Privilege at any time or charge a service fee
upon notice to shareholders. No such fee currently is contemplated. Shares
for which certificates have been issued, are not eligible for the Check
Redemption, Wire Redemption, Telephone Redemption or Dreyfus TELETRANSFER
Privilege.
        The Telephone Redemption Privilege or Telephone Exchange Privilege
authorizes the Transfer Agent to act on telephone instructions (including
over The Dreyfus TouchRegistration Mark automated telephone system) from any
person representing himself or herself to be you, and reasonably believed by
the Transfer Agent to be genuine. The Fund will require the Transfer Agent to
employ reasonable procedures, such as requiring a form of personal
identification, to confirm that instructions are genuine and, if it does not
follow such procedures, the Fund or the Transfer Agent may be liable for any
losses due to unauthorized or fraudulent instructions. Neither the Fund nor
the Transfer Agent will be liable for following telephone instructions
reasonably believed to be genuine.
        During times of drastic economic or market conditions, you may
experience difficulty in contacting the Transfer Agent by telephone to
request a redemption or exchange of Fund shares. In such cases, you should
consider using the other redemption procedures described herein. Use of these
other redemption procedures may result in your redemption request being
processed at a later time than it would have been if telephone redemption had
been used.
REGULAR REDEMPTION _ Under the regular redemption procedure, you may redeem
shares by written request mailed to The Dreyfus Family of Funds, P.O. Box
9671, Providence, Rhode Island 02940-9671. Redemption requests may be
delivered in person only to a Dreyfus Financial Center. THESE REQUESTS WILL
BE FORWARDED TO THE FUND AND WILL BE PROCESSED ONLY UPON RECEIPT THEREBY. For
the location of the nearest Dreyfus Financial Center, please call one of the
telephone numbers listed under "General Information." Redemption requests
must be signed by each shareholder, including each owner of a joint account,
and each signature must be guaranteed. The Transfer Agent has adopted
standards and procedures pursuant to which signature-guarantees in proper
form generally will be accepted from domestic banks, brokers, dealers, credit
unions, national securities exchanges, registered securities associations,
clearing agencies and savings associations, as well as from participants in
the New York Stock Exchange
                         [Page 13]
Medallion Signature Program, the Securities Transfer Agents Medallion Program
("STAMP") and the Stock Exchanges Medallion Program. If you have any
questions with respect to signature-guarantees, please call one of the
telephone numbers listed under "General Information."
        Redemption proceeds of at least $1,000 will be wired to any member
bank of the Federal Reserve System in accordance with a written
signature-guaranteed request.
CHECK REDEMPTION PRIVILEGE _ You may write Redemption Checks drawn on your
Fund account. Redemption Checks may be made payable to the order of any
person in the amount of $500 or more. Redemption Checks should not be used to
close your account. Redemption Checks are free, but the Transfer Agent will
impose a fee for stopping payment of a Redemption Check upon your request or
if the Transfer Agent cannot honor a Redemption Check because of insufficient
funds or other valid reason. You should date your Redemption Checks with the
current date when you write them. Please do not postdate your Redemption
Checks. If you do, the Transfer Agent will honor, upon presentment, even if
presented before the date of the check, all postdated Redemption Checks which
are dated within six months of presentment for payment, if they are otherwise
in good order. The Check Redemption Privilege is granted automatically unless
you refuse it.
WIRE REDEMPTION PRIVILEGE _ You may request by wire, telephone or letter
that redemption proceeds (minimum $1,000) be wired to your account at a bank
which is a member of the Federal Reserve System, or a correspondent bank if
your bank is not a member. Holders of jointly registered Fund or bank
accounts may have redemption proceeds of not more than $250,000 wired within
any 30-day period. You may telephone redemption requests by calling
1-800-645-6561 or, if you are calling from overseas, call 516-794-5452. The
Statement of Additional Information sets forth instructions for transmitting
redemption requests by wire.
TELEPHONE REDEMPTION PRIVILEGE _ You may request by telephone that
redemption proceeds (maximum $150,000 per day) be paid by check and mailed to
your address. You may telephone redemption instructions by calling
1-800-645-6561 or, if you are calling from overseas, call 516-794-5452. The
Telephone Redemption Privilege is granted automatically unless you refuse it.
DREYFUS TELETRANSFER PRIVILEGE _ You may request by telephone that
redemption proceeds (minimum $500 per day) be transferred between your Fund
account and your bank account. Only a bank account maintained in a domestic
financial institution which is an Automated Clearing House member may be
designated. Redemption proceeds will be on deposit in your account at an
Automated Clearing House member bank ordinarily two days after receipt of the
redemption request. Holders of jointly registered Fund or bank accounts may
redeem through the Dreyfus TELETRANSFER Privilege for transfer to their bank
account not more than $250,000 within any 30-day period.
        If you have selected the Dreyfus TELETRANSFER Privilege, you may
request a Dreyfus TELETRANSFER redemption of shares by calling 1-800-645-6561
or, if you are calling from overseas, call 516-794-5452.
                           SHAREHOLDER SERVICES PLAN
        The Fund has adopted a Shareholder Services Plan pursuant to which
the Fund reimburses Dreyfus Service Corporation, a wholly-owned subsidiary of
The Dreyfus Corporation, an amount not to exceed an annual rate of .25 of 1%
of the value of the Fund's average daily net assets for certain allocated
expenses of providing personal services and/or maintaining shareholder
accounts. The services provided may include personal services relating to
shareholder accounts, such as answering shareholder inquiries regarding the
Fund and providing reports and other information, and services related to the
maintenance of shareholder accounts.
                       DIVIDENDS, DISTRIBUTIONS AND TAXES
        The Fund ordinarily declares dividends from its net investment income
on each day the New York Stock Exchange is open for business. The Fund's
earnings for Saturdays, Sundays and holidays are

                         [Page 14]
declared as dividends on the preceding business day. Dividends usually are
paid on the last calendar day of each month and are automatically reinvested
in additional Fund shares at net asset value or, at your option, are paid in
cash. If you redeem all shares in your account at any time during the month,
all dividends to which you are entitled will be paid to you along with the
proceeds of the redemption. If you are an omnibus accountholder and indicate
in a partial redemption request that a portion of any accrued dividends to
which such account is entitled belongs to an underlying accountholder who has
redeemed all shares in his or her account, such portion of the accrued
dividends will be paid to you along with the proceeds of the redemption.
Distributions from net realized securities gains, if any, generally are
declared and paid once a year, but the Fund may make distributions on a more
frequent basis to comply with the distribution requirements of the Code, in
all events in a manner consistent with the provisions of the 1940 Act. The
Fund will not make distributions from net realized securities gains unless
capital loss carryovers, if any, have been utilized or have expired. You may
choose whether to receive distributions in cash or to reinvest in additional
Fund shares at net asset value. If you elect to receive dividends and
distributions in cash, and your dividend or distribution check is returned to
the Fund as undeliverable or remains uncashed for six months, the Fund
reserves the right to reinvest such dividend or distribution and all future
dividends and distributions payable to you in additional Fund shares at net
asset value. No interest will accrue on amounts represented by uncashed
distribution or redemption checks. All expenses are accrued daily and
deducted before declaration of dividends to investors.
        Except for dividends from Taxable Investments, the Fund anticipates
that substantially all dividends paid by the Fund will not be subject to
Federal income tax. Dividends derived from Taxable Investments, together with
distributions from any net realized short-term securities gains and all or a
portion of any gains realized from the sale or other disposition of certain
market discount bonds, paid by the Fund are subject to Federal income tax as
ordinary income whether received in cash or reinvested in additional shares.
Distributions from net realized long-term securities gains of the Fund
generally are taxable as long-term capital gains for Federal income tax
purposes if you are a citizen or resident of the United States. Under the
Code, interest on indebtedness incurred or continued to purchase or carry
Fund shares which is deemed to relate to exempt-interest dividends is not
deductible. No dividend paid by the Fund will qualify for the dividends
received deduction allowable to certain U.S. corporations.
        Although all or a substantial portion of the dividends paid by the
Fund may be excluded by Fund shareholders from their gross income for Federal
income tax purposes, the Fund may purchase specified private activity bonds,
the interest from which may be (i) a preference item for purposes of the
alternative minimum tax, or (ii) a factor in determining the extent to which
a shareholder's Social Security benefits are taxable. If the Fund purchases
such securities, the portion of the Fund's dividends related thereto will not
necessarily be tax exempt to an investor who is subject to the alternative
minimum tax and/or the tax on Social Security benefits and may cause an
investor to be subject to such taxes.
        Taxable dividends derived from net investment income, together with
distributions from net realized short-term securities gains and all or a
portion of any gains realized from the sale or other disposition of certain
market discount bonds, paid by the Fund to a foreign investor generally are
subject to U.S. nonresident withholding taxes at the rate of 30%, unless the
foreign investor claims the benefit of a lower rate specified in a tax
treaty. Distributions from net realized long-term securities gains paid by
the Fund to a foreign investor generally will not be subject to U.S.
nonresident withholding tax. However, such distributions may be subject to
backup withholding, as described below, unless the foreign investor certifies
his non-U.S. residency status.
        Notice as to the tax status of your dividends and distributions will
be mailed to you annually. You also will receive periodic summaries of your
account which will include information as to dividends and distributions from
securities gains, if any, paid during the year. These statements set forth
the dollar amount of income exempt from Federal tax and the dollar amount, if
any, subject to Federal tax. These dollar

                         [Page 15]
amounts will vary depending on the size and length of time of your investment
in the Fund. If the Fund pays dividends derived from taxable income, it
intends to designate as taxable the same percentage of the day's dividend as
the actual taxable income earned on that day bears to total income earned on
that day. Thus, the percentage of the dividend designated as taxable, if any,
may vary from day to day.
        The exchange of shares of one fund for shares of another is treated
for Federal income tax purposes as a sale of the shares given in exchange by
the shareholder and, therefore, an exchanging shareholder may realize a
taxable gain or loss.
        Federal regulations generally require the Fund to withhold ("backup
withholding") and remit to the U.S. Treasury 31% of taxable dividends and
distributions from net realized securities gains of the Fund paid to a
shareholder if such shareholder fails to certify either that the TIN
furnished in connection with opening an account is correct, or that such
shareholder has not received notice from the IRS of being subject to backup
withholding as a result of a failure to properly report taxable dividend or
interest income on a Federal income tax return. Furthermore, the IRS may
notify the Fund to institute backup withholding if the IRS determines a
shareholder's TIN is incorrect or if a shareholder has failed to properly
report taxable dividend and interest income on a Federal income tax return.
        A TIN is either the Social Security number, IRS individual taxpayer
identification number, or employer identification number of the record owner
of the account. Any tax withheld as a result of backup withholding does not
constitute an additional tax imposed on the record owner of the account, and
may be claimed as a credit on the record owner's Federal income tax return.
        Management of the Fund believes that the Fund has qualified for the
fiscal year ended May 31, 1998 as a "regulated investment company" under the
Code. The Fund intends to continue to so qualify if such qualification is in
the best interest of its shareholders. Such qualification relieves the Fund
of any liability for Federal income taxes to the extent its earnings are
distributed in accordance with the applicable provisions of the Code. The
Fund is subject to a non-deductible 4% excise tax, measured with respect to
certain undistributed amounts of taxable investment income and capital gains.
        You should consult your tax adviser regarding specific questions as
to Federal, state or local taxes.
                               GENERAL INFORMATION
        The Fund was incorporated under Maryland law on July 30, 1979, and
commenced operations on August 7, 1980. Before May 29, 1991, the Fund's name
was Dreyfus Tax Exempt Money Market Fund, Inc. The Fund is authorized to
issue 5 billion shares of Common Stock, par value $.01 per share. Each share
has one vote.
   

        Unless otherwise required by the 1940 Act, ordinarily it will not be
necessary for the Fund to hold annual meetings of shareholders. As a result,
Fund shareholders may not consider each year the election of Board members or
the appointment of auditors. However, the holders of at least 10% of the
shares outstanding and entitled to vote may require the Fund to hold a
special meeting of shareholders for purposes of removing a Board member from
office. Fund shareholders may remove a Board member by the affirmative vote
of a majority of the Fund's outstanding voting shares. In addition, the
Fund's Board will call a meeting of shareholders for the purpose of electing
Board members if, at any time, less than a majority of the Board members then
holding office have been elected by shareholders.
    

        The Transfer Agent maintains a record of your ownership and sends you
confirmations and statements of account.

   
        Shareholder inquiries may be made by writing to the Fund at 144 Glenn
Curtiss Boulevard, Uniondale, New York 11556-0144, or by calling toll free
1-800-645-6561. In New York City, call 718-895-1206; outside the U.S., call
516-794-5452.
    


                         [Page 16]
                                    APPENDIX
INVESTMENT TECHNIQUES
BORROWING MONEY _ The Fund may borrow money from banks, but only for
temporary or emergency (not leveraging) purposes in an amount up to (a) 15%
of the value of the Fund's total assets (including the amount borrowed)
valued at the lesser of cost or market, less liabilities (not including the
amount borrowed) at the time the borrowing is made or (b) 33 1/3% of the value
of the Fund's total assets (including the amount borrowed) in order to meet
redemption requests. While borrowings under (a) exceed 5% of the Fund's total
assets, the Fund will not make any additional investments.
   

FORWARD COMMITMENTS _ The Fund may purchase Municipal Obligations and other
securities on a forward commitment or when-issued basis, which means that
delivery and payment take place a number of days after the date of the
commitment to purchase. The payment obligation and the interest rate
receivable on a forward commitment or when-issued security are fixed when the
Fund enters into the commitment, but the Fund does not make payment until it
receives delivery from the counterparty. The Fund will commit to purchase
such securities only with the intention of actually acquiring the securities,
but the Fund may sell these securities before the settlement date if it is
deemed advisable. The Fund will set aside in a segregated account permissible
liquid assets at least equal at all times to the amount of the Fund's
commitments.
    

CERTAIN PORTFOLIO SECURITIES
CERTAIN TAX EXEMPT OBLIGATIONS _ The Fund may purchase floating and variable
rate demand notes and bonds, which are tax exempt obligations ordinarily
having stated maturities in excess of 13 months, but which permit the holder
to demand payment of principal at any time or at specified intervals not
exceeding 13 months, in each case upon not more than 30 days' notice.
Variable rate demand notes include master demand notes which are obligations
that permit the Fund to invest fluctuating amounts, at varying rates of
interest, pursuant to direct arrangements between the Fund, as lender, and
the borrower. These obligations permit daily changes in the amount borrowed.
Frequently, such obligations are secured by letters of credit or other credit
support arrangements provided by banks. Changes in the credit quality of
banks and other financial institutions that provide such credit or liquidity
enhancements to the Fund's portfolio securities could cause losses to the
Fund and affect its share price. Because these obligations are direct lending
arrangements between the lender and borrower, it is not contemplated that
such instruments generally will be traded, and there generally is no
established secondary market for these obligations, although they are
redeemable at face value plus accrued interest. Accordingly, where these
obligations are not secured by letters of credit or other credit support
arrangements, the Fund's right to redeem is dependent on the ability of the
borrower to pay principal and interest on demand. Each obligation purchased
by the Fund will meet the quality criteria established for the purchase of
Municipal Obligations.
TAX EXEMPT PARTICIPATION INTERESTS _ The Fund may purchase from financial
institutions participation interests in Municipal Obligations (such as
industrial development bonds and municipal lease/purchase agreements). A
participation interest gives the Fund an undivided interest in the Municipal
Obligation in the proportion that the Fund's participation interest bears to
the total principal amount of the Municipal Obligation. These instruments may
have fixed, floating or variable rates of interest, with remaining maturities
of 13 months or less. If the participation interest is unrated or has been
given a rating below that which otherwise is permissible for purchase by the
Fund, it will be backed by an irrevocable letter of credit or guarantee of a
bank that the Fund's Board has determined meets prescribed quality standards
for banks, or the payment obligation otherwise will be collateralized by U.S.
Government securities. For certain participation interests, the Fund will
have the right to demand payment, on not more than seven days' notice, for
all or any part of the Fund's participation interest in the Municipal

                         [Page 17]
Obligation, plus accrued interest. As to these instruments, the Fund intends
to exercise its right to demand payment only upon a default under the terms
of the Municipal Obligation, as needed to provide liquidity to meet
redemptions, or to maintain or improve the quality of its investment
portfolio.
TENDER OPTION BONDS _ The Fund may purchase tender option bonds. A tender
option bond is a Municipal Obligation (generally held pursuant to a custodial
arrangement) having a relatively long maturity and bearing interest at a
fixed rate substantially higher than prevailing short-term tax exempt rates,
that has been coupled with the agreement of a third party, such as a bank,
broker-dealer or other financial institution, pursuant to which such
institution grants the security holders the option, at periodic intervals, to
tender their securities to the institution and receive the face value
thereof. As consideration for providing the option, the financial institution
receives periodic fees equal to the difference between the Municipal
Obligation's fixed coupon rate and the rate, as determined by a remarketing
or similar agent at or near the commencement of such period, that would cause
the securities, coupled with the tender option, to trade at par on the date
of such determination. Thus, after payment of this fee, the security holder
effectively holds a demand obligation that bears interest at the prevailing
short-term tax exempt rate. The Dreyfus Corporation, on behalf of the Fund,
will consider on an ongoing basis the creditworthiness of the issuer of the
underlying Municipal Obligation, of any custodian and of the third party
provider of the tender option. In certain instances and for certain tender
option bonds, the option may be terminable in the event of a default in
payment of principal or interest on the underlying Municipal Obligations and
for other reasons.
STAND-BY COMMITMENTS _ The Fund may acquire "stand-by commitments" with
respect to Municipal Obligations held in its portfolio. Under a stand-by
commitment, the Fund obligates a broker, dealer or bank to repurchase, at the
Fund's option, specified securities at a specified price and, in this
respect, stand-by commitments are comparable to put options. The exercise of
a stand-by commitment, therefore, is subject to the ability of the seller to
make payment on demand. The Fund will acquire stand-by commitments solely to
facilitate portfolio liquidity and does not intend to exercise its rights
thereunder for trading purposes. The Fund may pay for stand-by commitments if
such action is deemed necessary, thus increasing to a degree the cost of the
underlying Municipal Obligation and similarly decreasing such security's
yield to investors. Gains realized in connection with stand-by commitments
will be taxable.
ILLIQUID SECURITIES _ The Fund may invest up to 10% of the value of its net
assets in securities as to which a liquid trading market does not exist,
provided such investments are consistent with the Fund's investment
objective. Such securities may include securities that are not readily
marketable, such as certain securities that are subject to legal or
contractual restrictions on resale, and repurchase agreements providing for
settlement in more than seven days after notice. As to these securities, the
Fund is subject to a risk that should the Fund desire to sell them when a
ready buyer is not available at a price the Fund deems representative of
their value, the value of the Fund's net assets could be adversely affected.
TAXABLE INVESTMENTS _ From time to time, on a temporary basis other than for
temporary defensive purposes (but not to exceed 20% of the value of the
Fund's net assets) or for temporary defensive purposes, the Fund may invest
in taxable short-term investments ("Taxable Investments") consisting of:
notes of issuers having, at the time of purchase, a quality rating within the
two highest grades of Moody's, S&P or Fitch; obligations of the U.S.
Government, its agencies or instrumentalities; commercial paper rated not
lower than P-1 by Moody's, A-1 by S&P or F-1 by Fitch; certificates of
deposit of U.S. domestic banks, including foreign branches of domestic banks,
with assets of one billion dollars or more; time deposits; bankers'
acceptances and other short-term bank obligations; and repurchase agreements
in respect of any of the foregoing. Dividends paid by the Fund that are
attributable to income earned by the Fund from Taxable Investments will be
taxable to investors. See "Dividends, Distributions and Taxes." Except for
temporary defensive purposes, at no time will more than 20% of the value of
the Fund's net assets be invested in Taxable Investments. If the Fund
purchases Taxable

                         [Page 18]
Investments, it will value them using the amortized cost method and comply
with the provisions of Rule 2a-7 relating to purchases of taxable
instruments. Under normal market conditions, the Fund anticipates that not
more than 5% of the value of its total assets will be invested in any one
category of Taxable Investments. Taxable Investments are more fully described
in the Statement of Additional Information, to which reference hereby is
made.
        NO PERSON HAS BEEN AUTHORIZED TO GIVE ANY INFORMATION OR TO MAKE ANY
REPRESENTATIONS OTHER THAN THOSE CONTAINED IN THIS PROSPECTUS AND IN THE
FUND'S OFFICIAL SALES LITERATURE IN CONNECTION WITH THE OFFER OF THE FUND'S
SHARES, AND, IF GIVEN OR MADE, SUCH OTHER INFORMATION OR REPRESENTATIONS MUST
NOT BE RELIED UPON AS HAVING BEEN AUTHORIZED BY THE FUND. THIS PROSPECTUS
DOES NOT CONSTITUTE AN OFFER IN ANY STATE IN WHICH, OR TO ANY PERSON TO WHOM,
SUCH OFFERING MAY NOT LAWFULLY BE MADE.

                         [Page 19]
Dreyfus Municipal Money Market Fund, Inc.
Prospectus
Copy Rights 1998, Dreyfus Service Corporation                         910p1098

____________________________________________________________________________
   

                 DREYFUS MUNICIPAL MONEY MARKET FUND, INC.
                                 PART B
                   (STATEMENT OF ADDITIONAL INFORMATION)
                            OCTOBER 1, 1998
    

___________________________________________________________________________
   

     This Statement of Additional Information, which is not a prospectus,
supplements and should be read in conjunction with the current Prospectus of
Dreyfus Municipal Money Market Fund, Inc. (the "Fund"), dated October 1,
1998, as it may be revised from time to time.  To obtain a copy of the
Fund's Prospectus, please write to the Fund at 144 Glenn Curtiss Boulevard,
Uniondale, New York 11556-0144, or call the following numbers:
    

          Call Toll Free 1-800-645-6561
          In New York City -- Call 1-718-895-1206
          Outside the U.S. -- Call 516-794-5452

     The Dreyfus Corporation (the "Manager") serves as the Fund's investment
adviser.

     Premier Mutual Fund Services, Inc. (the "Distributor") is the
distributor of the Fund's shares.

   

                       TABLE OF CONTENTS
                                                              Page

Investment Objective and Management Policies               B-2
Management of the Fund                                     B-8
Management Agreement                                       B-13
Purchase of Shares                                         B-14
Shareholder Services Plan                                  B-16
Redemption of Shares                                       B-16
Shareholder Services                                       B-18
Determination of Net Asset Value                           B-21
Dividends, Distributions and Taxes                         B-22
Portfolio Transactions                                     B-22
Yield Information                                          B-22
Information About the Fund                                 B-24
Transfer and Dividend Disbursing Agent, Custodian,
  Counsel and Independent Auditors                         B-24
Financial Statements and Report of Independent Auditors    B-24
Appendix                                                   B-25
    

          INVESTMENT OBJECTIVE AND MANAGEMENT POLICIES

     The following information supplements and should be read in conjunction
with the sections in the Fund's Prospectus entitled "Description of the
Fund" and "Appendix."
   

Portfolio Securities

     Municipal Obligations.  The average distribution of investments (at
value) in Municipal Obligations by ratings for the fiscal year ended May 31,
1998, computed on a monthly basis, was as follows:
    
   

                    Moody's           Standard
                    Investors         & Poor's
Fitch IBCA, Inc.    Service, Inc.     Ratings Group   Percentage
("Fitch")       or  ("Moody's")  or   ("S&P")         of Value

                      VMIG 1/MIG 1,   SP-1+/SP-1,
F-1+/F-1              P-1                A-1+/A-1       95.4%
AAA/AA                Aaa/Aa               AAA/AA        1.2
Not Rated             Not Rated         Not Rated        3.4*
                                                       100.0%
    

     The term "Municipal Obligations" generally includes debt obligations
issued to obtain funds for various public purposes, including the
construction of a wide range of public facilities such as airports, bridges,
highways, housing, hospitals, mass transportation, schools, streets and
water and sewer works.  Other public purposes for which Municipal
Obligations may be issued include refunding outstanding obligations,
obtaining funds for general operating expenses and lending such funds to
other public institutions and facilities.  In addition, certain types of
industrial development bonds are issued by or on behalf of public
authorities to obtain funds to provide for the construction, equipment,
repair or improvement of privately operated housing facilities, sports
facilities, convention or trade show facilities, airport, mass transit,
industrial, port or parking facilities, air or water pollution control
facilities and certain local facilities for water supply, gas, electricity
or sewage or solid waste disposal; the interest paid on such obligations may
be exempt from Federal income tax, although current tax laws place
substantial limitations on the size of such issues.  Such obligations are
considered to be Municipal Obligations if the interest paid thereon
qualifies as exempt from Federal income tax in the opinion of bond counsel
to the issuer.  There are, of course, variations in the security of
Municipal Obligations, both within a particular classification and between
classifications.

     Floating and variable rate demand notes are tax exempt obligations
ordinarily having stated maturities in excess of 13 months, but which permit
the holder to demand payment of principal at any time, or at specified
   

_______________________________
     *    Included in the Not Rated category are securities comprising 3.4%
     of the Fund's market value which, while not rated, have been determined
     by the Manager to be comparable quality to securities in the VMIG 1/MIG
     1 rating category.
    


intervals not exceeding 13 months, in each case upon not more than 30 days'
notice.  The issuer of such notes ordinarily has a corresponding right,
after a given period, to prepay in its discretion the outstanding principal
amount of the notes plus accrued interest upon a specified number of days'
notice to the noteholders.  The interest rate on a floating rate demand note
is based on a known lending rate, such as a bank's prime rate, and is
adjusted automatically each time such rate is adjusted.  The interest rate
on a variable rate demand note is adjusted automatically at specified inter
vals.

     For the purpose of diversification under the Investment Company Act of
1940, as amended (the "1940 Act"), the identification of the issuer of
Municipal Obligations depends on the terms and conditions of the security.
When the assets and revenues of an agency, authority, instrumentality or
other political subdivision are separate from those of the government
creating the subdivision and the security is backed only by the assets and
revenues of the subdivision, such subdivision would be deemed to be the sole
issuer.  Similarly, in the case of an industrial development bond, if that
bond is backed only by the assets and revenues of the non-governmental user,
then such non-governmental user would be deemed to be the sole issuer.  If,
however, in either case, the creating government or some other entity
guarantees a security, such a guaranty would be considered a separate
security and will be treated as an issue of such government or other entity.

     The yields on Municipal Obligations are dependent on a variety of
factors, including general economic and monetary conditions, money market
factors, conditions in the Municipal Obligations market, size of a
particular offering, maturity of the obligation and rating of the issue.
The imposition of the Fund's management fee, as well as other operating
expenses, will have the effect of reducing the yield to investors.

     Municipal lease obligations or installment purchase contract
obligations (collectively, "lease obligations") have special risks not
ordinarily associated with Municipal Obligations.  Although lease
obligations do not constitute general obligations of the municipality for
which the municipality's taxing power is pledged, a lease obligation
ordinarily is backed by the municipality's covenant to budget for,
appropriate and make the payments due under the lease obligation.  However,
certain lease obligations contain "non-appropriation" clauses which provide
that the municipality has no obligation to make lease or installment
purchase payments in future years unless money is appropriated for such
purpose on a yearly basis.  Although "non-appropriation" lease obligations
are secured by the leased property, disposition of the property in the event
of foreclosure might prove difficult.  The Fund will seek to minimize these
risks by investing only in those lease obligations that (1) are rated in one
of the two highest categories for debt obligations by at least two
nationally recognized statistical rating organizations (or one rating
organization if the lease obligation was rated only by one such
organization) or (2) if unrated, are purchased principally from the issuer
or domestic banks or other responsible third parties, in each case only if
the seller shall have entered into an agreement with the Fund providing that
the seller or other responsible third party will either remarket or
repurchase the lease obligation within a short period after demand by the
Fund.  The staff of the Securities and Exchange Commission currently
considers certain lease obligations to be illiquid.  Accordingly, not more
than 10% of the value of the Fund's net assets will be invested in lease
obligations that are illiquid and in other illiquid securities.  See
"Investment Restriction No. 12" below.

     The Fund will not purchase tender option bonds unless (a) the demand
feature applicable thereto is exercisable by the Fund within 13 months of
the date of such purchase upon no more than 30 days' notice and thereafter
is exercisable by the Fund no less frequently than annually upon no more
than 30 days' notice and (b) at the time of such purchase, the Manager
reasonably expects (i) based upon its assessment of current and historical
interest rate trends, that prevailing short-term tax exempt rates will not
exceed the stated interest rate on the underlying Municipal Obligations at
the time of the next tender fee adjustment and (ii) that the circumstances
which might entitle the grantor of a tender option to terminate the tender
option would not occur prior to the time of the next tender opportunity.  At
the time of each tender opportunity, the Fund will exercise the tender
option with respect to any tender option bonds unless the Manager reasonably
expects, (x) based upon its assessment of current and historical interest
rate trends, that prevailing short-term tax exempt rates will not exceed the
stated interest rate on the underlying Municipal Obligations at the time of
the next tender fee adjustment and (y) that the circumstances which might
entitle the grantor of a tender option to terminate the tender option would
not occur prior to the time of the next tender opportunity.  The Fund will
exercise the tender feature with respect to tender option bonds, or
otherwise dispose of its tender option bonds, prior to the time the tender
option is scheduled to expire pursuant to the terms of the agreement under
which the tender option is granted.  The Fund otherwise will comply with the
provisions of Rule 2a-7 in connection with the purchase of tender option
bonds, including, without limitation, the requisite determination by the
Fund's Board that the tender option bonds in question meet the quality
standards described in Rule 2a-7, which, in the case of a tender option bond
subject to a conditional demand feature, would include a determination that
the security has received both the required short-term and long-term quality
rating or is determined to be of comparable quality.  In the event of a
default of the Municipal Obligation underlying a tender option bond, or the
termination of the tender option agreement, the Fund would look to the
maturity date of the underlying security for purposes of compliance with
Rule 2a-7 and, if its remaining maturity was greater than 13 months, the
Fund would sell the security as soon as would be practicable.  The Fund will
purchase tender option bonds only when it is satisfied that the custodial
and tender option arrangements, including the fee payment arrangements, will
not adversely affect the tax exempt status of the underlying Municipal
Obligations and that payment of any tender fees will not have the effect of
creating taxable income for the Fund.  Based on the tender option bond
agreement, the Fund expects to be able to value the tender option bond at
par; however, the value of the instrument will be monitored to assure that
it is valued at fair value.

     Ratings of Municipal Obligations.  If subsequent to its purchase by the
Fund, (a) an issue of rated Municipal Obligations ceases to be rated in the
highest rating category by at least two rating organizations (or one rating
organization if the instrument was rated by only one such rating
organization) or the Fund's Board determines that it is no longer of
comparable quality or (b) the Manager becomes aware that any portfolio
security not so highly rated or any unrated security has been given a rating
by any rating organization below the rating organization's second highest
rating category, the Fund's Board will reassess promptly whether such
security presents minimal credit risk and will cause the Fund to take such
action as it determines is in the best interest of the Fund and its
shareholders; provided that the reassessment required by clause (b) is not
required if the portfolio security is disposed of or matures within five
business days of the Manager becoming aware of the new rating and the Fund's
Board is subsequently notified of the Manager's actions.

     To the extent that the ratings given by Moody's, S&P or Fitch for
Municipal Obligations may change as a result of changes in such
organizations or their rating systems, the Fund will attempt to use
comparable ratings as standards for its investments in accordance with the
investment policies contained in the Prospectus and this Statement of
Additional Information.  The ratings of Moody's, S&P and Fitch represent
their opinions as to the quality of the Municipal Obligations which they
undertake to rate.  It should be emphasized, however, that ratings are
relative and subjective and are not absolute standards of quality.  Although
these ratings may be an initial criterion for selection of portfolio
investments, the Manager also will evaluate these securities and the
creditworthiness of the issuers of such securities.

     Illiquid Securities.  Where a substantial market of qualified
institutional buyers develops for certain restricted securities purchased by
the Fund pursuant to Rule 144A under the Securities Act of 1933, as amended,
the Fund intends to treat such securities as liquid securities in accordance
with procedures approved by the Fund's Board.  Because it is not possible to
predict with assurance how the market for restricted securities pursuant to
Rule 144A will develop, the Fund's Board has directed the Manager to monitor
carefully the Fund's investments in such securities with particular regard
to trading activity, availability of reliable price information and other
relevant information.  To the extent that, for a period of time, qualified
institutional buyers cease purchasing restricted securities pursuant to Rule
144A, the Fund's investing in such securities may have the effect of
increasing the level of illiquidity in the Fund's portfolio during such
period.

     Taxable Investments.  Securities issued or guaranteed by the U.S.
Government or its agencies or instrumentalities include U.S. Treasury
securities, which differ in their interest rates, maturities and times of
issuance.  Some obligations issued or guaranteed by U.S. Government agencies
and instrumentalities are supported by the full faith and credit of the U.S.
Treasury; others by the right of the issuer to borrow from the U.S.
Treasury; others by discretionary authority of the U.S. Government to
purchase certain obligations of the agency or instrumentality; and others
only by the credit of the agency or instrumentality.  These securities bear
fixed, floating or variable rates of interest.  Interest may fluctuate based
on generally recognized reference rates or the relationship of rates.  While
the U.S. Government provides financial support to such U.S. Government-
sponsored agencies or instrumentalities, no assurance can be given that it
will always do so, since it is not so obligated by law.

     Commercial paper consists of short-term, unsecured promissory notes
issued to finance short-term credit needs.

     Certificates of deposit are negotiable certificates representing the ob
ligation of a bank to repay funds deposited with it for a specified period
of time.

     Time deposits are non-negotiable deposits maintained in a banking
institution for a specified period of time (in no event longer than seven
days) at a stated interest rate.  Investments in time deposits generally are
limited to London branches of domestic banks that have total assets in
excess of one billion dollars.  Time deposits which may be held by the Fund
will not benefit from insurance from the Bank Insurance Fund or the Savings
Association Insurance Fund administered by the Federal Deposit Insurance
Corporation.

     Bankers' acceptances are credit instruments evidencing the obligation
of a bank to pay a draft drawn on it by a customer.  These instruments
reflect the obligation both of the bank and of the drawer to pay the face
amount of the instrument upon maturity.  Other short term bank obligations
may include uninsured, direct obligations bearing fixed, floating or
variable interest rates.

     In a repurchase agreement, the Fund buys, and the seller agrees to
repurchase, a security at a mutually agreed upon time and price (usually
within seven days).  The repurchase agreement thereby determines the yield
during the purchaser's holding period, while the seller's obligation to
repurchase is secured by the value of the underlying security.  The Fund's
custodian or sub-custodian will have custody of, and will hold in a
segregated account, securities acquired by the Fund under a repurchase
agreement.  Repurchase agreements are considered by the staff of the
Securities and Exchange Commission to be loans by the Fund.  In an attempt
to reduce the risk of incurring a loss on a repurchase agreement, the Fund
will enter into repurchase agreements only with domestic banks with total
assets in excess of $1 billion, or primary government securities dealers
reporting to the Federal Reserve Bank of New York, with respect to
securities of the type in which the Fund may invest, and will require that
additional securities be deposited with it if the value of the securities
purchased should decrease below resale price.  Repurchase agreements could
involve risks in the event of a default or insolvency of the other party to
the agreement, including possible delays or restrictions upon the Fund's
ability to dispose of the underlying securities.

Management Policies

     Forward Commitments.  Municipal Obligations and other securities
purchased on a forward commitment or when-issued basis are subject to
changes in value (generally changing in the same way, i.e., appreciating
when interest rates decline and depreciating when interest rates rise) based
upon the public's perception of the creditworthiness of the issuer and
changes, real or anticipated, in the level of interest rates.  Securities
purchased on a forward commitment or when-issued basis may expose the Fund
to risks because they may experience such fluctuations prior to their actual
delivery.  Purchasing securities on a when-issued basis can involve the
additional risk that the yield available in the market when the delivery
takes place actually may be higher than that obtained in the transaction
itself.  Purchasing securities on a forward commitment or when-issued basis
when the Fund is fully or almost fully invested may result in greater
potential fluctuation in the value of Fund's net assets and its net asset
value per share.

Investment Restrictions

     The Fund has adopted investment restrictions numbered 1 through 11 as
fundamental policies, which cannot be changed without approval by the
holders of a majority (as defined in the 1940 Act) of the Fund's outstanding
voting shares.  Investment restriction numbered 12 is not a fundamental
policy and may be changed by a vote of a majority of the Fund's Board
members at any time.  The Fund may not:

1.   Purchase securities other than Municipal Obligations and Taxable
     Investments as those terms are defined above and in the Fund's
     Prospectus.

2.   Borrow money, except from banks for temporary or emergency purposes and
     not for investment, in an amount up to (a) 15% of the value of the
     Fund's total assets (including the amount borrowed) valued at market
     less liabilities (not including the amount borrowed) at the time the
     borrowing is made or (b) one-third of the value of its total assets
     (including the amount borrowed) in order to meet redemption requests
     which otherwise might require the untimely disposition of securities.
     While borrowings under (a) exceed 5% of the value of the Fund's total
     assets, the Fund will not make any additional investments.  If due to
     market fluctuations or other reasons the value of the Fund's assets
     falls below 300% of its borrowings, the Fund will reduce its borrowings
     within three business days.  To do this, the Fund may have to sell a
     portion of its investments at a time when it may be disadvantageous to
     do so.

3.   Pledge, hypothecate, mortgage or otherwise encumber its assets, except
     to secure borrowings for temporary or emergency purposes.

4.   Sell securities short or purchase securities on margin.

5.   Underwrite the securities of other issuers except that the Fund may
     bid, separately or as part of a group, for the purchase of Municipal
     Obligations directly from an issuer for its own portfolio in order to
     take advantage of the lower purchase price available.

6.   Purchase or sell real estate, real estate investment trust securities,
     commodities or commodity contracts, or oil and gas interests, but this
     shall not prevent the Fund from investing in Municipal Obligations
     secured by real estate or interests therein.

7.   Make loans to others except through the purchase of qualified debt
     obligations and the entry into repurchase agreements referred to above
     and in the Fund's Prospectus.

8.   Invest more than 5% of its assets in the obligations of one issuer,
     except that up to 25% of the value of the Fund's total assets may be
     invested, and securities issued or guaranteed by the U.S. Government,
     or its agencies or instrumentalities may be purchased, without regard
     to any such limitation.

9.   Invest more than 25% of its assets in the securities of issuers in any
     single industry; provided that there shall be no limitation on the
     purchase of Municipal Obligations and obligations issued or guaranteed
     by the U.S. Government, its agencies or instrumentalities.

10.  Purchase more than 10% of the voting securities of any issuer or
     invest in companies for the purpose of exercising control.

11.  Invest in securities of other investment companies, except as they may
     be acquired as part of a merger, consolidation or acquisition of
     assets and except for the purchase, to the extent permitted by Section
     12 of the 1940 Act, of shares of registered unit investment trusts
     whose assets consist substantially of Municipal Obligations.

12.  Enter into repurchase agreements providing for settlement in more than
     seven days after notice or purchase securities which are illiquid if,
     in the aggregate, more than 10% of the value of the Fund's net assets
     would be so invested.

     For purposes of Investment Restriction No. 9, industrial development
bonds, where the payment of principal and interest is the ultimate
responsibility of companies within the same industry, are grouped together
as an "industry."

     If a percentage restriction is adhered to at the time of an investment,
a later increase in percentage resulting from a change in values or assets
will not constitute a violation of that restriction.

     The Fund may make commitments more restrictive than the restrictions
listed above so as to permit the sale of Fund shares in certain states.
Should the Fund determine that a commitment is no longer in the best
interests of the Fund and its shareholders, the Fund reserves the right to
revoke the commitment by terminating the sale of Fund shares in the state
involved.


                     MANAGEMENT OF THE FUND

     Board members and officers of the Fund, together with information as to
their principal business occupations during at least the last five years,
are shown below.

Board Members of the Fund
   

JOSEPH S. DiMARTINO, Chairman of the Board.  Since January 1995, Chairman of
     the Board of various funds in the Dreyfus Family of Funds. He is also a
     director of The Noel Group, Inc., a venture capital company (for which,
     from February 1995 until November 1997, he was the Chairman of the
     Board), The Muscular Dystrophy Association, HealthPlan Services
     Corporation, a provider of marketing, administrative and risk
     management services to health and other benefit program, Carlyle
     Industries, Inc. (formerly, Belding Heminway Company, Inc.), a button
     packager and distributor, Century Business Services, Inc., a provider
     of various outsourcing functions for small and medium size companies,
     and Career Blazers Inc. (formerly, Staffing Resources, Inc.), a
     temporary placement agency.  For more than five years prior to January
     1995, he was President, a director and, until August 1994, Chief
     Operating Officer of the Manager and Executive Vice President and a
     director of Dreyfus Service Corporation, a wholly-owned subsidiary of
     the Manager and, until August 24, 1994, the Fund's distributor.  From
     August 1994 to December 31, 1994, he was a director of Mellon Bank
     Corporation.  He is 54 years old and his address is 200 Park Avenue,
     New York, New York 10166.
    
   
DAVID W. BURKE, Board Member.  Chairman of the Broadcasting Board of
     Governors, an independent board within the United States Information
     Agency, since August 1995.  From August 1994 to December 31, 1994, Mr.
     Burke was a Consultant to the Manager and, from October 1990 to August
     1994, he was Vice President and Chief Administrative Officer of the
     Manager.  From 1977 to 1990, Mr. Burke was involved in the management
     of national television news, as Vice-President and Executive Vice
     President of ABC News, and subsequently as President of CBS News.  He
     is 62 years old and his address is Box 654, Eastham, Massachusetts
     02642.
    
   
HODDING CARTER, III, Board Member  President and Chief Executive Officer of
     the John S. and James L. Knight Foundation.  From 1985 to 1998, he was
     President and Chairman of MainStreet TV.  From 1995 to 1998, he was
     Knight Professor in Journalism at the University of Maryland.  From
     1980 to 1991, he was "Op Ed" columnist for The Wall Street Journal.
     From 1985 to 1986, he was anchor and Chief Correspondent of "Capital
     Journal," a weekly Public Broadcasting System ("PBS") series on
     Congress.  From 1981 to 1984, he was anchorman and chief correspondent
     for PBS' "Inside Story", a regularly scheduled half-hour critique of
     press performance. From 1977 to July 1, 1980, Mr. Carter served as
     Assistant Secretary of State for Public Affairs and as Department of
     State spokesman.  He is 63 years old and his address is c/o Knight
     Foundation, 2 South Biscayne Boulevard, Suite 3800, Miami, Florida
     33131.
    
   
EHUD HOUMINER, Board Member.  Professor and Executive-in-Residence at the
     Columbia Business School, Columbia University.  Since January 1996,
     Principal of Lear, Yavitz and Associates, a management consultant firm.
     He also is a Director of Avnet Inc. and Super-Sol Limited.  He is 57
     years old and his address is c/o Columbia Business School, Columbia
     University, Uris Hall, Room 526, New York, New York 10027.
    
   
RICHARD C. LEONE, Board Member.  President of The Twentieth Century Fund,
     Inc., a tax exempt research foundation engaged in the study of
     economic, foreign policy and domestic issues.  From April 1990 to March
     1994, he was Chairman and, from April 1988 to March 1994, a
     Commissioner of The Port Authority of New York and New Jersey.  A
     member in 1985, and from January 1986 to January 1989, Managing
     Director, of Dillon, Read & Co. Inc.  Mr. Leone is also a director of
     Dynex, Inc.  He is 58 years old and his address is 41 East 70th Street,
     New York, New York 10021.
    
   
HANS C. MAUTNER, Board Member.  Chairman, Trustee and Chief Executive
     Officer of Corporate Property Investors, a real estate investment
     company.  Since January 1986, a Director of Julius Baer Investment
     Management, Inc., a wholly-owned subsidiary of Julius Baer Securities,
     Inc.  He is 60 years old and his address is 305 East 47th Street, New
     York, New York 10017.
    
   
ROBIN A. PRINGLE, Board Member.  Since March 1996, President of The Boisi
     Family Foundation, a private family foundation devoted to youths and
     higher education located in New York City, and Assistant to the Chief
     Executive Officer of The Beacon Group, LLC, a private equity firm and
     advisory partnership.  Since 1993, Vice President, and from March 1992
     to October 1993, Executive Director, of One to One Partnership, Inc., a
     national non-profit organization that seeks to promote mentoring and
     economic empowerment for at-risk youths.  From June 1986 to February
     1992, she was an investment banker with Goldman, Sachs & Co.  She is 34
     years old and her address is 2107 Lenox Park Circle, Atlanta, Georgia
     30319.
    
   
JOHN E. ZUCCOTTI, Board Member.  Since November 1996, Chairman and Chief
     Executive Officer of World Financial Properties, Inc.  Mr. Zuccotti is
     also a Director of Starrett Housing Corporation, a construction,
     development and real estate properties corporation, and Capstone
     Pharmacy Services, Inc.  From 1990 to November 1996, he was the
     President and Chief Executive Officer, of Olympia & York Companies
     (U.S.A.) and a member of its Board of Directors since November 1996.
     From 1986 to 1990, he was a partner in the law firm of Brown & Wood,
     and from 1978 to 1986, a partner in the law firm of Tufo & Zuccotti.
     He was first Deputy Mayor of the City of New York from December 1975 to
     June 1977, and Chairman of the City Planning Commission for the City of
     New York from 1973 to 1975.  He is 60 years old and his address is 1
     Liberty Plaza, 6th Floor, New York, New York 10006.
    

     For so long as the Plan described in the section captioned "Shareholder
Services Plan" remains in effect, the Board members of the Fund who are not
"interested persons" (as defined in the 1940 Act) will be selected and
nominated by the Board members who are not "interested persons" of the Fund.
   

     The Fund typically pays its Board members an annual retainer and a per
meeting fee and reimburses them for their expenses.  The Chairman of the
Board receives an additional 25% of such compensation.  Emeritus Board
members are entitled to receive an annual retainer and a per meeting fee of
one-half the amount paid to them as Board members.  The aggregate amount of
compensation paid to each Board member by the Fund for the fiscal year ended
May 31, 1998, and by other funds in the Dreyfus Family of Funds for which
such person is a Board member (the number of which is set forth in
parenthesis next to each Board member's total compensation) for the year
ended December 31, 1997, were as follows:
    
   

                                                           Total
                                                       Compensation from
                            Aggregate                  Fund and Fund
 Name of Board           Compensation from             Complex Paid to
     Member                   Fund*                    Board Members

Joseph S. DiMartino           $9,375                   $597,127 (94)

David W. Burke                $7,500                   $239,000 (51)

Hodding Carter, III           $6,500                   $ 42,750 (7)

Ehud Houminer                 $7,500                   $ 68,250 (11)

Richard C. Leone              $7,000                   $ 38,500 (7)

Hans C. Mautner               $6,000                   $ 41,750 (7)

Robin A. Pringle              $7,000                   $ 41,750 (7)

John E. Zuccotti              $6,500                   $ 36,000 (7)
_____________________
*    Amount does not include reimbursed expenses for attending Board
     meetings, which amounted to $2,250 for all Board members as a group.
    

Officers of the Fund
   

MARIE E. CONNOLLY, President and Treasurer.  President, Chief Executive
     Officer, Chief Compliance Officer and a director of the Distributor and
     Funds Distributor, Inc., the ultimate parent of which is Boston
     Institutional Group, Inc., and an officer of other investment companies
     advised or administered by the Manager.  She is 40 years old.
    
   
MARGARET W. CHAMBERS, Vice President and Secretary.  Senior Vice President
     and General Counsel of Funds Distributor, Inc., and an officer of other
     investment companies advised or administered by the Manager.  From
     August 1996 to March 1998, she was Vice President and Assistant General
     Counsel for Loomis, Sayles & Company, L.P. From January 1986 to July
     1996, she was an associate with the law firm of Ropes & Gray.  She is
     38 years old.
    
   
MICHAEL S. PETRUCELLI, Vice President, Assistant Treasurer and Assistant
     Secretary.  Senior Vice President of Funds Distributor, Inc., and an
     officer of other investment companies advised or administered by the
     Manager.  From December 1989 through November 1996, he was employed by
     GE Investment Services where he held various financial, business
     development and compliance positions.  He also served as Treasurer of
     the GE Funds and as a Director of GE Investment Services.  He is 36
     years old.
    
   
STEPHANIE D. PIERCE, Vice President, Assistant Treasurer and Assistant
     Secretary . Vice President and Client Development Manager of Fund's
     Distribution, Inc., and an officer of other investment companies
     advised or administered by the manager.  From April 1997 to March 1998,
     she was employed as a Relationship Manager with Citibank, N.A.  She is
     29 years old.
    
   
MARY A. NELSON, Vice President and Assistant Treasurer.  Vice President of
     the Distributor and Funds Distributor, Inc., and an officer of other
     investment companies advised or administered by the Manager.  From
     September 1989 to July 1994, she was an Assistant Vice President and
     Client Manager for The Boston Company, Inc.  She is 34 years old.
    
   
GEORGE A. RIO, Vice President and Assistant Treasurer.  Executive Vice
     President and Client Service Director of Funds Distributor, Inc., and
     an officer of other investment companies advised or administered by the
     Manager.  From June 1995 to March 1998, he was Senior Vice President
     and Senior Key Account Manager for Putnam Mutual Funds.  From May 1994
     to June 1995, he was Director of Business Development for First Data
     Corporation.  From September 1983 to May 1994, he was Senior Vice
     President and Manager of Client Services and Director of Internal Audit
     at The Boston Company, Inc.  He is 43 years old.
    

JOSEPH F. TOWER, III, Vice President and Assistant Treasurer.  Senior Vice
     President, Treasurer, Chief Financial Officer and a director of the
     Distributor and Funds Distributor, Inc., and an officer of other
     investment companies advised or administered by the Manager.  From July
     1988 to August 1994, he was employed by The Boston Company, Inc. where
     he held various management positions in the Corporate Finance and
     Treasury areas.  He is 35 years old.

DOUGLAS C. CONROY, Vice President and Assistant Secretary.  Assistant Vice
     President of Funds Distributor, Inc., and an officer of other
     investment companies advised or administered by the Manager.  From
     April 1993 to January 1995, he was a Senior Fund Accountant for
     Investors Bank & Trust Company.  He is 29 years old.

CHRISTOPHER J. KELLEY, Vice President and Assistant Secretary.  Vice
     President and Senior Associate General Counsel of Funds Distributor,
     Inc., and an officer of other investment companies advised or
     administered by the Manager.  From April 1994 to July 1996, he was
     Assistant Counsel at Forum Financial Group.  From October 1992 to March
     1994, he was employed by Putnam Investments in legal and compliance
     capacities.  He is 33 years old.

KATHLEEN K. MORRISEY, Vice President and Assistant Secretary.  Manager of
     Treasury Services Administration of Funds Distributor, Inc., and an
     officer of other investment companies advised or administered by the
     Manager.  From July 1994 to November 1995, she was a Fund Accountant
     for Investors Bank & Trust Company.  She is 25 years old.

ELBA VASQUEZ, Vice President and Assistant Secretary.  Assistant Vice
     President of Funds Distributor, Inc., and an officer of other
     investment companies advised or administered by the Manager.  From
     March 1990 to May 1996, she was employed by U.S. Trust Company of New
     York where she held various sales and marketing positions.  She is 36
     years old.

     The address of all officers of the Fund is 200 Park Avenue, New York,
New York 10166.
   

     The Fund's Board members and officers, as a group, owned less than 1%
of the Fund's voting securities outstanding on September 15, 1998.
    
   
     The following entity is known by the Fund to own, of record or
beneficially, 5% or more of the Fund's outstanding voting securities on
September 15, 1998:  Chase Manhattan Bank, Attn. Sevan Marinos, 1211 Avenue
of Americas, 33rd Floor, New York, New York 10036, was the record owner of
6.2235% of the Fund's outstanding shares.
    


                      MANAGEMENT AGREEMENT

     The following information supplements and should be read in conjunction
with the section in the Fund's Prospectus entitled "Management of the Fund."

     The Manager provides management services pursuant to the Management
Agreement (the "Agreement") dated August 24, 1994 with the Fund, which is
subject to annual approval by (i) the Fund's Board or (ii) vote of a
majority (as defined in the 1940 Act) of the outstanding voting securities
of the Fund, provided that in either event the continuance also is approved
by a majority of the Board members who are not "interested persons" (as
defined in the 1940 Act) of the Fund or the Manager, by vote cast in person
at a meeting called for the purpose of voting on such approval.  The
Agreement was approved by shareholders on August 4, 1994, and was last
approved by the Fund's Board, including a majority of the Board members who
are not "interested persons" of any party to the Agreement, at a meeting
held on February 2, 1998.  The Agreement is terminable without penalty, on
not less than 60 days' notice, by the Fund's Board, by vote of the holders
of a majority of the Fund's shares, or by the Manager.  The Agreement will
terminate automatically in the event of its assignment (as defined in the
1940 Act).
   

     The following persons are officers and/or directors of the Manager:  W.
Keith Smith, Chairman of the Board; Christopher M. Condron, President, Chief
Executive Officer, Chief Operating Officer and a director; Stephen E.
Canter, Vice Chairman, Chief Investment Officer and a director; Lawrence S.
Kash, Vice Chairman--Distribution and a director; William T. Sandalls, Jr.,
Executive Vice President; Mark N. Jacobs, Vice President, General Counsel
and Secretary; Patrice M. Kozlowski, Vice President--Corporate
Communications; Mary Beth Leibig, Vice President--Human Resources; Andrew S.
Wasser, Vice President--Information Systems; Richard Terres, Vice President;
Wendy Strutt, Vice President; James Bitetto, Assistant Secretary; Steven F.
Newman, Assistant Secretary; and Mandell L. Berman, Burton C. Borgelt, Frank
V. Cahouet and Richard F. Syron, directors.
    

     The Manager manages the Fund's portfolio of investments in accordance
with the stated policies of the Fund, subject to the approval of the Fund's
Board.  The Manager is responsible for investment decisions and provides the
Fund with portfolio managers who are authorized by the Board to execute
purchases and sales of securities.  The Fund's portfolio managers are A.
Paul Disdier, Douglas Gaylor, Karen M. Hand, Stephen C. Kris, Richard J.
Moynihan, W. Michael Petty, Jill C. Shaffro, Samuel J. Weinstock and Monica
S. Wieboldt.  The Manager also maintains a research department with a
professional staff of portfolio managers and securities analysts who provide
research services for the Fund and for other funds advised by the Manager.

     The Manager maintains office facilities on behalf of the Fund, and
furnishes statistical and research data, clerical help, accounting, data
processing, bookkeeping and internal auditing and certain other required
services to the Fund.  The Manager also may make such advertising and
promotional expenditures, using its own resources, as it from time to time
deems appropriate.

     All expenses incurred in the operation of the Fund are borne by the
Fund, except to the extent specifically assumed by the Manager.  The
expenses borne by the Fund include:  taxes, interest, brokerage fees and
commissions, if any, fees of Board members who are not officers, directors,
employees or holders of 5% or more of the outstanding voting securities of
the Manager, Securities and Exchange Commission fees, state Blue Sky
qualification fees, advisory fees, charges of custodians, transfer and
dividend disbursing agents' fees, certain insurance premiums, industry
association fees, outside auditing and legal expenses, costs of independent
pricing services, costs of maintaining corporate existence, costs
attributable to investor services (including, without limitation, telephone
and personnel expenses), costs of shareholders' reports and corporate
meetings, costs of preparing and printing prospectuses and statements of
additional information for regulatory purposes and for distribution to
existing shareholders, and any extraordinary expenses.
   

     As compensation for the Manager's services, the Fund has agreed to pay
the Manager a monthly management fee at the annual rate of .50 of 1% of the
value of the Fund's average daily net assets.  All fees and expenses are
accrued daily and deducted before declaration of dividends to investors.
For the fiscal years ended May 31, 1996, 1997 and 1998, the management fees
paid to the Manager amounted to $5,156,708, $4,962,817 and $5,001,054,
respectively.
    

     The Manager has agreed that if in any fiscal year the aggregate
expenses of the Fund, exclusive of taxes, brokerage, interest and (with the
prior written consent of the necessary state securities commissions)
extraordinary expenses, but including the management fee, exceed the expense
limitation of any state having jurisdiction over the Fund, the Fund may
deduct from the payment to be made to the Manager under the Agreement, or
the Manager will bear, such excess expense to the extent required by state
law.  Such deduction or payment, if any, will be estimated daily, and
reconciled and effect or paid, as the case may be, on a monthly basis.

     The aggregate of the fees payable to the Manager is not subject to
reduction as the value of the Fund's net assets increases.


                       PURCHASE OF SHARES

     The following information supplements and should be read in conjunction
with the section in the Fund's Prospectus entitled "How to Buy Shares."

     The Distributor.  The Distributor serves as the Fund's distributor on a
best efforts basis pursuant to an agreement which is renewable annually.
The Distributor also acts as distributor for the other funds in the Dreyfus
Family of Funds and for certain other investment companies.

     Using Federal Funds.  Dreyfus Transfer, Inc., the Fund's transfer and
dividend disbursing agent (the "Transfer Agent"), or the Fund may attempt to
notify the investor upon receipt of checks drawn on banks that are not
members of the Federal Reserve System as to the possible delay in conversion
into Federal Funds and may attempt to arrange for a better means of
transmitting the money.  If the investor is a customer of a securities
dealer, bank or other financial institution and his order to purchase Fund
shares is paid for other than in Federal Funds, the securities dealer, bank
or other financial institution, acting on behalf of its customer, will
complete the conversion into, or itself advance, Federal Funds generally on
the business day following receipt of the customer order.  The order is
effective only when so converted and received by the Transfer Agent.  An
order for the purchase of Fund shares placed by an investor with sufficient
Federal Funds or a cash balance in his brokerage account with a securities
dealer, bank or other financial institution will become effective on the day
that the order, including Federal Funds, is received by the Transfer Agent.

     Dreyfus TeleTransfer Privilege.  Dreyfus TeleTransfer purchase orders
may be made at any time.  Purchase orders received by 4:00 p.m., New York
time, on any business day that the Transfer Agent and the New York Stock
Exchange are open for business will be credited to the shareholder's Fund
account on the next bank business day following such purchase order.
Purchase orders made after 4:00 p.m., New York time, on any business day the
Transfer Agent and the New York Stock Exchange are open for business, or
orders made on Saturday, Sunday or any Fund holiday (e.g., when the New York
Stock Exchange is not open for business), will be credited to the
shareholder's Fund account on the second bank business day following such
purchase order.  To qualify to use the Dreyfus TeleTransfer Privilege, the
initial payment for purchase of Fund shares must be drawn on, and redemption
proceeds paid to, the same bank and account as are designated on the Account
Application or Shareholder Services Form on file.  If the proceeds of a
particular redemption are to be wired to an account at any other bank, the
request must be in writing and signature-guaranteed.  See "Redemption of
Shares--Dreyfus TeleTransfer Privilege."

     Procedures for Multiple Accounts.  The Transfer Agent will provide each
institution with a written confirmation for each transaction in a
sub-account at no additional charge.  Upon receipt of funds for investment
by interbank wire, the Transfer Agent promptly will confirm the receipt of
the investment by telephone or return wire to the transmitting bank, if the
investor so requests.

     The Transfer Agent also will provide each institution with a monthly
statement setting forth, for each sub-account, the share balance, income
earned for the month, income earned for the year to date and the total
current value of the account.

     Service Charges.  There are no sales or service charges by the Fund or
the Distributor, although investment dealers, banks and other financial
institutions may make reasonable charges to investors for their services.
The services provided and fees therefor are established by each institution
acting independently of the Fund.  The Fund has been given to understand
that these fees may be charged for customer services including, but not
limited to, same-day investment of client funds; same-day access to client
funds; advice to customers about the status of their accounts, yield
currently being paid or income earned to date; provision of periodic account
statements showing security and money market positions; other services
available from the dealer, bank or other financial institution; and
assistance with inquiries related to their investment.  Any such fees will
be deducted monthly from the investor's account, which on smaller accounts
could constitute a substantial portion of the distributions.  Small,
inactive, long-term accounts involving monthly service charges may not be in
the best interest of investors.  Investors should be aware that they may
purchase shares of the Fund directly from the Fund without imposition of any
maintenance or service charges, other than those already described herein.

     Reopening an Account.  An investor may reopen an account with a minimum
investment of $100 without filing a new Account Application during the
calendar year the account is closed or during the following calendar year,
provided the information on the old Account Application is still applicable.


                   SHAREHOLDER SERVICES PLAN

     The following information supplements and should be read in conjunction
with the section in the Fund's Prospectus entitled "Shareholder Services
Plan."

     The Fund has adopted a Shareholder Services Plan (the "Plan") pursuant
to which the Fund reimburses Dreyfus Service Corporation for certain
allocated expenses of providing personal services and/or maintaining
shareholder accounts.  The services provided may include personal services
relating to shareholder accounts, such as answering shareholder inquiries
regarding the Fund and providing reports and other information, and services
related to the maintenance of shareholder accounts.
   

     A quarterly report of the amounts expended under the Plan, and the
purposes for which such expenditures were incurred, must be made to the
Board for its review.  In addition, the Plan provides that material
amendments must be approved by the Fund's Board, and by the Board members
who are not "interested persons" (as defined in the 1940 Act) of the Fund or
the Manager and have no direct or indirect financial interest in the
operation of the Plan, by vote cast in person at a meeting called for the
purpose of considering such amendments.  The Plan is subject to annual
approval by such vote of the Board members cast in person at a meeting
called for the purpose of voting on the Plan.  The Plan was last so approved
on July 30, 1998.  The Plan is terminable at any time by vote of a majority
of the Board members who are not "interested persons" and have no direct or
indirect financial interest in the operation of the Plan.
    
   
     For the fiscal year ended May 31, 1998, $805,959 was chargeable to the
Fund under the Shareholder Services Plan.
    


                      REDEMPTION OF SHARES

     The following information supplements and should be read in conjunction
with the section in the Fund's Prospectus entitled "How to Redeem Shares."
   

     Check Redemption Privilege. The Fund provides Redemption Checks
("Checks") automatically upon opening an account, unless the investor
specifically refuses the Check Redemption Privilege by checking the
applicable "No" box on the Account Application.  Checks will be sent only to
the registered owner(s) of the account and only to the address of record.
The Check Redemption Privilege may be established for an existing account by
a separate signed Shareholder Services Form.  The Account Application or
Shareholder Services Form must be manually signed by the registered
owner(s).  Checks are drawn on the investor's fund account and may be made
payable to the order of any person in an amount of $500 or more. When a
Check is presented to the Transfer Agent for payment, the Transfer Agent, as
the investor's agent, will cause the Fund to redeem a sufficient number of
full and fractional shares in the account to cover the amount of the Check.
Dividends are earned until the Check clears.  After clearance, a copy of the
Check will be returned to the investor.  Investors generally will be subject
to the same rules and regulations that apply to checking accounts, although
election of this Privilege creates only a shareholder-transfer agent
relationship with the Transfer Agent.
    

     If the amount of the Check is greater than the value of the shares in
an investor's account, the Check will be returned marked insufficient funds.
Checks should not be used to close an account.

     Wire Redemption Privilege.  By using this Privilege, the investor
authorizes the Transfer Agent to act on wire, telephone or letter redemption
instructions from any person representing himself or herself to be the
investor and reasonably believed by the Transfer Agent to be genuine.
Ordinarily, the Fund will initiate payment for shares redeemed pursuant to
this Privilege on the same business day if the Transfer Agent receives the
redemption request in proper form prior to Noon on such day; otherwise, the
Fund will initiate payment on the next business day.  Redemption proceeds
($1,000 minimum) will be transferred by Federal Reserve wire only to the
commercial bank account specified by the investor on the Account Application
or Shareholder Services Form, or to a correspondent bank if the investor's
bank is not a member of the Federal Reserve System.  Fees ordinarily are
imposed by such bank and borne by the investor.  Immediate notification by
the correspondent bank to the investor's bank is necessary to avoid a delay
in crediting the funds to the investor's bank account.

     Investors with access to telegraphic equipment may wire redemption
requests to the Transfer Agent by employing the following transmittal code
which may be used for domestic or overseas transmissions:

                                   Transfer Agent's
          Transmittal Code         Answer Back Sign

          144295                   144295 TSSG PREP

     Investors who do not have direct access to telegraphic equipment may
have the wire transmitted by contacting a TRT Cables operator at
1-800-654-7171, toll free.  Investors should advise the operator that the
above transmittal code must be used and should also inform the operator of
the Transfer Agent's answer back sign.

     To change the commercial bank or account designated to receive
redemption proceeds, a written request must be sent to the Transfer Agent.
This request must be signed by each shareholder, with each signature
guaranteed as described below under "Stock Certificates; Signatures."

     Dreyfus TeleTransfer Privilege.  Investors should be aware that if they
have selected the Dreyfus TeleTransfer Privilege, any request for a wire
redemption will be effected as a Dreyfus TeleTransfer transaction through
the Automated Clearing House ("ACH") system unless more prompt transmittal
specifically is requested.  Redemption proceeds will be on deposit in the
investor's account at an ACH member bank ordinarily two business days after
receipt of the redemption request.  See "Purchase of Shares--Dreyfus
TeleTransfer Privilege."

     Stock Certificates; Signatures.  Any stock certificate representing
Fund shares to be redeemed must be submitted with the redemption request.
Written redemption requests must be signed by each shareholder, including
each holder of a joint account, and each signature must be guaranteed.
Signatures on endorsed certificates submitted for redemption also must be
guaranteed.  The Transfer Agent has adopted standards and procedures
pursuant to which signature-guarantees in proper form generally will be
accepted from domestic banks, brokers, dealers, credit unions, national
securities exchanges, registered securities associations, clearing agencies
and savings associations, as well as from participants in the New York Stock
Exchange Medallion Signature Program, the Securities Transfer Agents
Medallion Program ("STAMP") and the Stock Exchanges Medallion Program.
Guarantees must be signed by an authorized signatory of the guarantor and
"Signature Guaranteed" must appear with the signature.  The Transfer Agent
may request additional documentation from corporations, executors,
administrators, trustees or guardians, and may accept other suitable
verification arrangements from foreign investors, such as consular
verification.  For more information with respect to signature-guarantees,
please call one of the telephone numbers listed on the cover.

     Redemption Commitment.  The Fund has committed itself to pay in cash
all redemption requests made by any shareholder of record, limited in amount
during any 90-day period to the lesser of $250,000 or 1% of the value of the
Fund's net assets at the beginning of such period.  This commitment is
irrevocable without the prior approval of the Securities and Exchange
Commission and is a fundamental policy of the Fund which may not be changed
without shareholder approval.  In the case of requests for redemption in
excess of such amount, the Fund's Board reserves the right to make payments
in whole or in part in securities or other assets of the Fund in case of an
emergency or any time a cash distribution would impair the liquidity of the
Fund to the detriment of existing shareholders.  In such event, the
securities would be valued in the same manner as the Fund's portfolio is
valued.  If the recipient sold such securities, brokerage charges might be
incurred.

     Suspension of Redemptions.  The right of redemption may be suspended or
the date of payment postponed (a) during any period when the New York Stock
Exchange is closed (other than customary weekend and holiday closings), (b)
when trading in the markets the Fund ordinarily utilizes is restricted, or
when an emergency exists as determined by the Securities and Exchange
Commission so that disposal of the Fund's investments or determination of
its net asset value is not reasonably practicable or (c) for such other
periods as the Securities and Exchange Commission by order may permit to
protect the Fund's shareholders.


                      SHAREHOLDER SERVICES

     The following information supplements and should be read in conjunction
with the
section in the Fund's Prospectus entitled "Shareholder Services."

     Fund Exchanges.  Shares of other funds purchased by exchange will be
purchased on the basis of relative net asset value per share as follows:

          A.   Exchanges for shares of funds that are offered without a
          sales load will be made without a sales load.

          B.   Shares of funds purchased without a sales load may be
          exchanged for shares of other funds sold with a sales load, and
          the applicable sales load will be deducted.

          C.   Shares of funds purchased with a sales load may be exchanged
          without a sales load for shares of any other funds sold without a
          sales load.

          D.   Shares of funds purchased with a sales load, shares of funds
          acquired by a previous exchange from shares purchased with a sales
          load, and additional shares acquired through reinvestment of
          dividends or distributions of any such funds (collectively
          referred to herein as "Purchased Shares") may be exchanged for
          shares of other funds sold with a sales load (referred to herein
          as "Offered Shares"), provided that, if the sales load applicable
          to the Offered Shares exceeds the maximum sales load that could
          have been imposed in connection with the Purchased Shares (at the
          time the Purchased Shares were acquired), without giving effect to
          any reduced loads, the difference will be deducted.

     To accomplish an exchange under item D above, shareholders must notify
the Transfer Agent of their prior ownership of fund shares and their account
number.

     To request an exchange, an investor must give exchange instructions to
the Transfer Agent in writing or by telephone.  The ability to issue
exchange instructions by telephone is given to all Fund shareholders
automatically, unless the investor checks the applicable "No" box on the
account application, indicating that the investor specifically refuses this
Privilege.   By using the Telephone Exchange Privilege, the investor
authorizes the Transfer Agent to act on telephonic instructions (including
The Dreyfus Touchr automated telephone system) from any person representing
himself or herself to be the investor, and reasonably believed by the
Transfer Agent to be genuine.  Telephone exchanges may be subject to
limitations as to the amount involved or the number of telephone exchanges
permitted.  Shares issued in certificate form are not eligible for telephone
exchange.
   

     To establish a personal retirement plan by exchange, shares of the fund
being exchanged must have a value of at least the minimum initial investment
required for the fund into which the exchange is being made.  The minimum
initial investment is $750 for Dreyfus-sponsored Keogh Plans, IRAs
(including regular IRAs, spousal IRAs for a non-working spouse, Roth IRAs,
IRAs set up under a Simplified Employee Pension Plan ("SEP-IRAs") and
rollover IRAs) and 403(b)(7) plans with only one participant and $500 for
Dreyfus-sponsored Education IRAs.  To exchange shares held in corporate
plans, 403(b)(7) Plans and SEP-IRAs with more than one participant, the
minimum initial investment is $100 if the plan has at least $2,500
investment among the funds in the Dreyfus Family of Funds.
    

     Dreyfus Auto-Exchange Privilege.  Dreyfus Auto-Exchange Privilege
permits an investor to purchase, in exchange for shares of the Fund, shares
of another fund in the Dreyfus Family of Funds.  This Privilege is available
only for existing accounts.  Shares will be exchanged on the basis of
relative net asset value as described above under "Fund Exchanges."
Enrollment in or modification or cancellation of this Privilege is effective
three business days following notification by the investor.  An investor
will be notified if his account falls below the amount designated to be
exchanged under this Privilege.  In this case, an investor's account will
fall to zero unless additional investments are made in excess of the
designated amount prior to the next Auto-Exchange transaction.  Shares held
under IRA and other retirement plans are eligible for this Privilege.
Exchanges of IRA shares may be made between IRA accounts and from regular
accounts to IRA accounts, but not from IRA accounts to regular accounts.
With respect to all other retirement accounts exchanges may be made only
among those accounts.

     Fund Exchanges and the Dreyfus Auto-Exchange Privilege are available to
shareholders resident in any state in which shares of the fund being
acquired may legally be sold.  Shares may be exchanged only between accounts
having identical names and other identifying designations.

     Shareholder Services Forms and prospectuses of the other funds may be
obtained by calling 1-800-645-6561.  The Fund reserves the right to reject
any exchange request in whole or in part.  The Fund Exchanges service or the
Dreyfus Auto-Exchange Privilege may be modified or terminated at any time
upon notice to shareholders.

     Automatic Withdrawal Plan.  The Automatic Withdrawal Plan permits an
investor with a $5,000 minimum account to request withdrawal of a specified
dollar amount (minimum of $50) on either a monthly or quarterly basis.
Withdrawal payments are the proceeds from sales of Fund shares, not the
yield on the shares.  If withdrawal payments exceed reinvested dividends and
distributions, the investor's shares will be reduced and eventually may be
depleted.  Automatic Withdrawal may be terminated at any time by the
investor, the Fund or the Transfer Agent.  Shares for which certificates
have been issued may not be redeemed through to the Automatic Withdrawal
Plan.

     Dreyfus Dividend Sweep.  Dreyfus Dividend Sweep allows investors to
invest automatically their dividends or dividends and capital gain
distributions, if any, paid by the Fund in shares of another fund in the
Dreyfus Family of Funds of which the investor is a shareholder.  Shares of
other funds purchased pursuant to this privilege will be purchased on the
basis of relative net asset value per share as follows:

     A.   Dividends and distributions paid by a fund may be invested without
          imposition of a sales load in shares of other funds that are
          offered without a sales load.

     B.   Dividends and distributions paid by a fund which does not charge a
          sales load may be invested in shares of other funds sold with a
          sales load, and the applicable sales load will be deducted.

     C.   Dividends and distributions paid by a fund which charges a sales
          load may be invested in shares of other funds sold with a sales
          load (referred to herein as "Offered Shares"), provided that, if
          the sales load applicable to the Offered Shares exceeds the
          maximum sales load charged by the fund from which dividends or
          distributions are being swept, without giving effect to any
          reduced loads, the difference will be deducted.

     D.   Dividends and distributions paid by a fund may be invested in
          shares of other funds that impose a contingent deferred sales
          charge ("CDSC") and the applicable CDSC, if any, will be imposed
          upon redemption of such shares.


                DETERMINATION OF NET ASSET VALUE

     The following information supplements and should be read in conjunction
with the section in the Fund's Prospectus entitled "How to Buy Shares."

     Amortized Cost Pricing.  The valuation of the Fund's portfolio
securities is based upon their amortized cost, which does not take into
account unrealized capital gains or losses.  This involves valuing an
instrument at its cost and thereafter assuming a constant amortization to
maturity of any discount or premium, regardless of the impact of fluctuating
interest rates on the market value of the instrument.  While this method
provides certainty in valuation, it may result in periods during which
value, as determined by amortized cost, is higher or lower than the price
the Fund would receive if it sold the instrument.

     The Fund's Board has established, as a particular responsibility within
the overall duty of care owed to the Fund's investors, procedures reasonably
designed to stabilize the Fund's price per share as computed for purposes of
purchases and redemptions at $1.00.  Such procedures include review of the
Fund's portfolio holdings by the Board, at such intervals as it deems
appropriate, to determine whether the Fund's net asset value calculated by
using available market quotations or market equivalents deviates from $1.00
per share based on amortized cost.  Market quotations and market equivalents
used in such review are obtained from an independent pricing service (the
"Service") approved by the Board.  The Service values the Fund's investments
based on methods which include consideration of:  yields or prices of
municipal bonds of comparable quality, coupon, maturity and type;
indications of values from dealers; and general market conditions.  The
Service also may employ electronic data processing techniques and/or a
matrix system to determine valuations.

     The extent of any deviation between the Fund's net asset value based
upon available market quotations or market equivalents and $1.00 per share
based on amortized cost will be examined by the Board.  If such deviation
exceeds 1/2 of 1%, the Board promptly will consider what action, if any,
will be initiated.  In the event the Board determines that a deviation
exists which may result in material dilution or other unfair results to
investors or existing shareholders, it has agreed to take such corrective
action as it regards as necessary and appropriate, including:  selling
portfolio instruments prior to maturity to realize capital gains or losses
or to shorten average portfolio maturity; withholding dividends or paying
distributions from capital or capital gains; redeeming shares in kind; or
establishing a net asset value per share by using available market
quotations or market equivalents.

     New York Stock Exchange Closings.  The holidays (as observed) on which
the New York Stock Exchange is closed currently are:  New Year's Day, Martin
Luther King Jr. Day, Presidents' Day, Good Friday, Memorial Day,
Independence Day, Labor Day, Thanksgiving and Christmas.


               DIVIDENDS, DISTRIBUTIONS AND TAXES

     The following information supplements and should be read in conjunction
with the section in the Fund's Prospectus entitled "Dividends, Distributions
and Taxes."

     Ordinarily, gains and losses realized from portfolio transactions will
be treated as capital gain or loss.  However, all or a portion of any gain
realized from the sale or other disposition of certain market discount bonds
will be treated as ordinary income under Section 1276 of the Internal
Revenue Code of 1986, as amended.


                     PORTFOLIO TRANSACTIONS

     Portfolio securities ordinarily are purchased from and sold to parties
acting as either principal or agent.  Newly-issued securities ordinarily are
purchased directly from the issuer or from an underwriter; other purchases
and sales usually are placed with those dealers from whom it appears that
the best price or execution will be obtained.  Usually no brokerage
commissions, as such, are paid by the Fund for such purchases and sales,
although the price paid usually includes an undisclosed compensation to the
dealer acting as agent.  The prices paid to underwriters of newly-issued
securities usually include a concession paid by the issuer to the
underwriter, and purchases of after-market securities from dealers
ordinarily are executed at a price between the bid and asked price.  No
brokerage commissions have been paid by the Fund to date.

     Transactions are allocated to various dealers by the Fund's portfolio
managers in their best judgment.  The primary consideration is prompt and
effective execution of orders at the most favorable price.  Subject to that
primary consideration, dealers may be selected for research, statistical or
other services to enable the Manager to supplement its own research and
analysis with the views and information of other securities firms.

     Research services furnished by brokers through which the Fund effects
securities transactions may be used by the Manager in advising other funds
it advises and, conversely, research services furnished to the Manager by
brokers in connection with other funds the Manager advises may be used by
the Manager in advising the Fund.  Although it is not possible to place a
dollar value on these services, it is the opinion of the Manager that the
receipt and study of such services should not reduce the overall expenses of
its research department.


                       YIELD INFORMATION

     The following information supplements and should be read in conjunction
with the section in the Fund's Prospectus entitled "Yield Information."
   

     For the seven-day period ended May 31, 1998, the Fund's yield was 3.24%
and effective yield was 3.29%.  Yield is computed in accordance with a
standardized method which involves determining the net change in the value
of a hypothetical pre-existing Fund account having a balance of one share at
the beginning of a seven calendar day period for which yield is to be
quoted, dividing the net change by the value of the account at the beginning
of the period to obtain the base period return, and annualizing the results
(i.e., multiplying the base period return by 365/7).  The net change in the
value of the account reflects the value of additional shares purchased with
dividends declared on the original share and any such additional shares and
fees that may be charged to shareholder accounts, in proportion to the
length of the base period and the Fund's average account size, but does not
include realized gains and losses or unrealized appreciation and
depreciation.  Effective yield is computed by adding 1 to the base period
return (calculated as described above), raising that sum to a power equal to
365 divided by 7, and subtracting 1 from the result.
    
   
     Based upon a 1998 Federal personal income tax rate of 39.60%, the
Fund's tax equivalent yield for the seven-day period ended May 31, 1998 was
5.36%.  Tax equivalent yield is computed by dividing that portion of the
yield or effective yield (calculated as described above) which is tax exempt
by 1 minus a stated tax rate and adding the quotient to that portion, if
any, of the yield of the Fund that is not tax exempt.
    

     The tax equivalent yield noted above represents the application of the
highest Federal marginal personal income tax rate in effect during 1997.
The tax equivalent figure, however, does not include the potential effect of
any state or local (including, but not limited to, county, district or city)
taxes, including applicable surcharges.  In addition, there may be pending
legislation which could affect such stated tax rates or yields.  Each
investor should consult its tax adviser, and consider its own factual
circumstances and applicable tax laws, in order to ascertain the relevant
tax equivalent yield.

     Yields will fluctuate and are not necessarily representative of future
results.  Each investor should remember that yield is a function of the type
and quality of the instruments in the portfolio, portfolio maturity and
operating expenses.  An investor's principal in the Fund is not guaranteed.
See "Determination of Net Asset Value" for a discussion of the manner in
which the Fund's price per share is determined.

     The Fund may use hypothetical tax equivalent yields or charts in its
advertising.  These hypothetical yields or charts will be used for
illustrative purposes only and not as representative of the Fund's past or
future performance.

     Advertising materials for the Fund also may refer to or discuss then-
current or past economic conditions, developments and/or events, including
those relating to or arising from actual or proposed tax legislation.  From
time to time, advertising materials for the Fund may also refer to
statistical or other information concerning trends relating to investment
companies, as compiled by industry associations such as the Investment
Company Institute.

     From time to time, advertising material for the Fund may include
biographical information relating to its portfolio managers and may refer
to, or include commentary by a portfolio manager relating to investment
strategy, asset growth, current or past business, political, economic or
financial conditions and other matters of general interest to investors.


                   INFORMATION ABOUT THE FUND

     The following information supplements and should be read in conjunction
with the section in the Fund's Prospectus entitled "General Information."

     Each Fund share has one vote and, when issued and paid for in
accordance with the terms of the offering, is fully paid and non-assessable.
Fund shares are of one class and have equal rights as to dividends and in
liquidation.  Shares have no preemptive, subscription or conversion rights
and are freely transferable.

     The Fund sends annual and semi-annual financial statements to all its
shareholders.


      TRANSFER AND DIVIDEND DISBURSING AGENT, CUSTODIAN,
                COUNSEL AND INDEPENDENT AUDITORS
   

     Dreyfus Transfer, Inc., a wholly-owned subsidiary of the Manager, P.O.
Box 9671, Providence, Rhode Island 02940-9671, is the Fund's transfer and
dividend disbursing agent.  Under a transfer agency agreement with the Fund,
the Transfer Agent arranges for the maintenance of shareholder account
records for the Fund, the handling of certain communications between
shareholders and the Fund and the payment of dividends and distributions
payable by the Fund.  For these services, the Transfer Agent receives a
monthly fee computed on the basis of the number of shareholder accounts it
maintains for the Fund during the month, and is reimbursed for certain out-
of-pocket expenses.  For the fiscal year ended May 31, 1998, the Fund paid
the Transfer Agent $287,495.
    
   
     The Bank of New York, 90 Washington Street, New York, New York 10286,
is the Fund's custodian.  The Bank of New York has no part in determining the
investment policies of the Fund or which securities are to be purchased or
sold by the Fund.
    

     Stroock & Stroock & Lavan LLP, 180 Maiden Lane, New York, New York
10038-4982, as counsel for the Fund, has rendered its opinion as to certain
legal matters regarding the due authorization and valid issuance of the
shares being sold pursuant to the Fund's Prospectus.

     Ernst & Young LLP, 787 Seventh Avenue, New York, New York 10019,
independent auditors, have been selected as auditors of the Fund.

   

           FINANCIAL STATEMENTS AND REPORT OF INDEPENDENT AUDITORS

     The Fund's Annual Report to Shareholders for the fiscal year ended May
31, 1998, is a separate document supplied with this statement as additional
Information, and the financial statements, accompanying notes and report of
independent auditors appearing therein are incorporated by reference into
this statement as additional information.
    

                            APPENDIX


     Description of S&P, Moody's and Fitch ratings:

S&P

Municipal Bond Ratings

     An S&P municipal bond rating is a current assessment of the
creditworthiness of an obligor with respect to a specific obligation.

     The ratings are based on current information furnished by the issuer or
obtained by S&P from other sources it considers reliable, and will include:
(1) likelihood of default-capacity and willingness of the obligor as to the
timely payment of interest and repayment of principal in accordance with the
terms of the obligation; (2) nature of and provisions of the obligation; and
(3) protection afforded by, and relative position of, the obligation in the
event of bankruptcy, reorganization or other arrangement under the laws of
bankruptcy and other laws affecting creditors' rights.

                              AAA

     Debt rated AAA has the highest rating assigned by S&P.  Capacity to pay
interest and repay principal is extremely strong.

                               AA

     Debt rated AA has a very strong capacity to pay interest and repay
principal and differs from the highest rated issues only in a small degree.
The AA rating may be modified by the addition of a plus or minus sign to
show relative standing within the category.

Municipal Note Ratings

                              SP-1

     The issuers of these municipal notes exhibit very strong or strong
capacity to pay principal and interest.  Those issues determined to possess
overwhelming safety characteristics are given a plus (+) designation.

Commercial Paper Ratings

     The rating A is the highest rating and is assigned by S&P to issues
that are regarded as having the greatest capacity for timely payment.
Issues in this category are delineated with the numbers 1, 2 and 3 to
indicate the relative degree of safety.  Paper rated A-1 indicates that the
degree of safety regarding timely payment is either overwhelming or very
strong.  Those issues determined to possess overwhelming safety
characteristics are denoted with a plus (+) sign designation.

Moody's

Municipal Bond Ratings

                              Aaa

     Bonds which are rated Aaa are judged to be of the best quality.  They
carry the smallest degree of investment risk and are generally referred to
as "gilt edge."  Interest payments are protected by a large or by an
exceptionally stable margin and principal is secure.  While the various
protective elements are likely to change, such changes as can be visualized
are most unlikely to impair the fundamentally strong position of such
issues.

                               Aa

     Bonds which are rated Aa are judged to be of high quality by all
standards.  Together with the Aaa group they comprise what generally are
known as high grade bonds.  They are rated lower than the best bonds because
margins of protection may not be as large as in Aaa securities or
fluctuation of protective elements may be of greater amplitude or there may
be other elements present which make the long-term risks appear somewhat
larger than in Aaa securities.  Generally, Moody's provides either a generic
rating or a rating with a numerical modifier of 1 for bonds in the generic
rating category Aa.  Moody's also provides numerical modifiers of 2 and 3 in
this category for bond issues in the health care, higher education and other
not-for-profit sectors; the modifier 1 indicates that the issue ranks in the
higher end of that generic rating category; the modifier 2 indicates that
the issue is in the mid-range of that generic category; and the modifier 3
indicates that the issue is in the low end of that generic category.

Municipal Note Ratings

     Moody's ratings for state and municipal notes and other short-term
loans are designated Moody's Investment Grade (MIG).  Such ratings recognize
the differences between short-term credit risk and long-term risk.  Factors
affecting the liquidity of the borrower and short-term cyclical elements are
critical in short-term ratings, while other factors of major importance in
bond risk, long-term secular trends for example, may be less important over
the short run.

     A short-term rating may also be assigned on an issue having a demand
feature.  Such ratings will be designated as VMIG or, if the demand feature
is not rated, as NR.  Short-term ratings on issues with demand features are
differentiated by the use of the VMIG symbol to reflect such characteristics
as payment upon periodic demand rather than fixed maturity dates and payment
relying on external liquidity.  Additionally, investors should be alert to
the fact that the source of payment may be limited to the external liquidity
with no or limited legal recourse to the issuer in the event the demand is
not met.

     Moody's short-term ratings are designated Moody's Investment Grade as
MIG 1 or VMIG 1 through MIG 4 or VMIG 4.  As the name implies, when Moody's
assigns a MIG or VMIG rating, all categories define an investment grade
situation.

                          MIG 1/VMIG 1

     This designation denotes best quality.  There is present strong
protection by established cash flows, superior liquidity support or
demonstrated broad-based access to the market for refinancing.

                          MIG 2/VMIG 2

     This designation denotes high quality.  Margins of protection are ample
although not so large as in the preceding group.


Commercial Paper Rating

     The rating Prime-1 (P-1) is the highest commercial paper rating
assigned by Moody's.  Issuers of P-1 paper must have a superior capacity for
repayment of short-term promissory obligations, and ordinarily will be
evidenced by leading market positions in well established industries, high
rates of return on funds employed, conservative capitalization structures
with moderate reliance on debt and ample asset protection, broad margins in
earnings coverage of fixed financial charges and high internal cash
generation, and well established access to a wide range of financial markets
and assured sources of alternate liquidity.

Fitch

Municipal Bond Ratings

     The ratings represent Fitch's assessment of the issuer's ability to
meet the  obligations of a specific debt issue or class of debt.  The
ratings take into consideration special features of the issue, its
relationship to other obligations of the issuer, the current financial
condition and operative performance of the issuer and of any guarantor, as
well as the political and economic environment that might affect the
issuer's future financial strength and credit quality.

                              AAA

     Bonds rated AAA are considered to be investment grade and of the
highest credit quality.  The obligor has an exceptionally strong ability to
pay interest and repay principal, which is unlikely to be affected by
reasonably foreseeable events.

                               AA

     Bonds rated AA are considered to be investment grade and of very high
credit quality.  The obligor's ability to pay interest and repay principal
is very strong, although not quite as strong as bonds rated AAA.  Because
bonds rated in the AAA and AA categories are not significantly vulnerable to
foreseeable future developments, short-term debt of these issuers is
generally rated F-1+.  Plus (+) and minus (-) signs are used with the rating
symbol AA to indicate the relative position of a credit within the rating
category.

Short-Term Ratings

     Fitch's short-term ratings apply to debt obligations that are payable
on demand or have original maturities of up to three years, including
commercial paper, certificates of deposit, medium-term notes, and municipal
and investment notes.

     Although the credit analysis is similar to Fitch's bond rating
analysis, the short-term rating places greater emphasis than bond ratings on
the existence of liquidity necessary to meet the issuer's obligations in a
timely manner.

                              F-1+

     Exceptionally Strong Credit Quality.  Issues assigned this rating are
regarded as having the strongest degree of assurance for timely payment.

                              F-1

     Very Strong Credit Quality.  Issues assigned this rating reflect an
assurance of timely payment only slightly less in degree than issues rated F-
1+.

                              F-2

     Good Credit Quality.  Issues carrying this rating have a satisfactory
degree of assurance for timely payment, but the margin of safety is not as
great as the F-1+ and
F-1 categories.
   
    



                 DREYFUS MUNICIPAL MONEY MARKET FUND, INC.


                         PART C. OTHER INFORMATION
                           _________________________


Item 24.  Financial Statements and Exhibits. - List
_______    _________________________________________

     (a)  Financial Statements:

               Included in Part A of the Registration Statement:
   

               Condensed Financial Information - For each of the ten years
               in the period ended May 31, 1998.
    

               Included in Part B of the Registration Statement:
   

                    Statement of Investments-- May 31, 1998.*
    
   
                    Statement of Assets and Liabilities-- May 31, 1998.*
    
   
                    Statement of Operations--year ended May 31, 1998.*
    
   
                    Statement of Changes in Net Assets--for each of the two
                    years ended May 31, 1998.*
    

                    Notes to Financial Statements.*
   
                    Report of Ernst & Young LLP, Independent Auditors, dated
                    July 6, 1998.*
    
   
_____________________

*    Incorporated by reference to Registrant's Annual Report to Shareholders
     dated May 31, 1998.
    
   

All Schedules and other financial statement information, for which provision
is made in the applicable accounting regulations of the Securities and
Exchange Commission, are either included herein or omitted because they are
not required under the related instructions, they are inapplicable, or the
required information is presented in the financial statements or notes
thereto which are incorporated by reference in Part B of the Registration
Statement.
    

Item 24.  Financial Statements and Exhibits. - List (continued)
_______    _____________________________________________________


(b)       Exhibits:

(1)(a)    Articles of Incorporation are incorporated by reference to Exhibit
          (1)(a) of Post-Effective Amendment No. 27 to the Registration
          Statement on Form N-1A, filed on September 24, 1996.

(b)       Articles of Amendment are incorporated by reference to Exhibit
          (1)(b) of Post-Effective Amendment No. 27 to the Registration
          Statement on Form N-1A, filed on September 24, 1996.
   

(2)       By-Laws.
    

(5)       Management Agreement is incorporated by reference to Exhibit (5)
          of Post-Effective Amendment No. 24 to the Registration Statement
          on Form N-1A, filed on September 26, 1995.

(6)       Distribution Agreement is incorporated by reference to Exhibit (6)
          of Post-Effective Amendment No. 24 to the Registration Statement
          on Form N-1A, filed on September 26, 1995.

(8)(a)    Amended and Restated Custody Agreement is incorporated by
          reference to Exhibit (8)(a) of Post-Effective Amendment No. 27 to
          the Registration Statement on Form N-1A, filed on September 24,
          1996.

(b)       Form of Sub-Custodian Agreements are incorporated by reference to
          Exhibit (8)(b) of Post-Effective Amendment No. 22 to the
          Registration Statement on Form N-1A, filed on July 25, 1994.

(9)       Shareholder Services Plan is incorporated by reference to Exhibit
          (9) of Post-Effective Amendment No. 24 to the Registration
          Statement on Form N-1A, filed on September 26, 1995.

(10)      Opinion and consent of Registrant's counsel is incorporated by
          reference to Exhibit (10) of Post-Effective Amendment No. 24 to
          the Registration Statement on Form N-1A, filed on September 26,
          1995.

(11)      Consent of Independent Auditors.

(16)      Schedules of Computation of Performance Data are incorporated by
          reference to Exhibit (16) of Post-Effective Amendment No. 22 to
          the Registration Statement on From N-1A, filed on July 25, 1994.

Item 24.  Financial Statements and Exhibits. - List (continued)
_______   _____________________________________________________

(17)      Financial Data Schedule.

          Other Exhibits
          ______________

                              (a)  Powers of Attorney.

                              (b)  Certificate of Secretary.

Item 25.  Persons Controlled by or under Common Control with Registrant.
_______   ______________________________________________________________

          Not Applicable

Item 26.  Number of Holders of Securities.
_______   ________________________________

            (1)                                   (2)
   

                                              Number of Record
        Title of Class                 Holders as of September 15, 1998
        ______________                 _____________________________

        Common Stock                            14,649
        (Par value $.01)
    

Item 27.    Indemnification
_______     _______________
   

             The Statement as to the general effect of any contract,
             arrangements or statute under which a director, officer,
             underwriter or affiliated person of the Registrant is insured
             or indemnified in any manner against any liability which may
             be incurred in such capacity, other than insurance provided by
             any director officer affiliated person or underwriter for
             their own protection is incorporated by reference to Item 27
             of Part C of Post-Effective Amendment No. 27 to the
             Registration Statement on Form N-1A, filed on September 24,
             1996.
    
   
             Reference is also made to the Distribution Agreement filed as
             Exhibit (6) of Post-Effective Amendment No. 24 to the
             Registration Statement on Form N-1A, filed on September 26,
             1995.
    

Item 28.    Business and Other Connections of Investment Adviser.
_______     ____________________________________________________

              The Dreyfus Corporation ("Dreyfus") and subsidiary companies
            comprise a financial service organization whose business
            consists primarily of providing investment management services
            as the investment adviser, manager and distributor for
            sponsored investment companies registered under the Investment
            Company Act of 1940 and as an investment adviser to
            institutional and individual accounts.  Dreyfus also serves as
            sub-investment adviser to and/or administrator of other
            investment companies.  Dreyfus Service Corporation, a wholly-
            owned subsidiary of Dreyfus, serves primarily as distributor of
            shares of investment companies sponsored by Dreyfus and of
            other investment companies for which Dreyfus acts as investment
            adviser, sub-investment adviser or administrator.  Dreyfus
            Management, Inc., another wholly-owned subsidiary, provides
            investment management services to various pension plans,
            institutions and individuals.



Item 28.  Business and Other Connections of Investment Adviser (continued)
________  ________________________________________________________________

          Officers and Directors of Investment Adviser
          ____________________________________________

Name and Position
with Dreyfus             Other Businesses
_________________        ________________
   

W. KEITH SMITH           Senior Vice Chairman:
Chairman of the               Mellon Bank, N.A.*;
Board                         President and Director:
                              The Bridgewater Land Co., Inc.**;
                              Mellon Preferred Capital Corporation**;
                              TBC Securities Co., Inc.**;
                              Wellington-Medford II Properties, Inc.**;
                         Chairman, President and Chief Executive Officer:
                              Shearson Summit Euromanagement, Inc.*;
                              Shearson Summit EuroPartners, Inc.*;
                              Shearson Summit Management, Inc.*;
                              Shearson Summit Partners, Inc.*;
                              Shearson Venture Capital, Inc.*;
                         Chairman and Chief Executive Officer:
                              The Boston Company, Inc.**;
                              Boston Safe Deposit and Trust Company**;
                              Boston Group Holdings, Inc.**;
                         Director:
                              Dentsply International, Inc.
                              570 West College Avenue
                              York, Pennsylvania 17405;
                              The Boston Company Asset Management, Inc.**;
                              Mellon Europe Limited
                              London, England;
                              Mellon Global Investing Corp.*;
                              Mellon Accounting Services, Inc.*;
                              MGIC-UK Ltd.;
                              Mellon Capital Management Corporation***;
                         Chairman:
                              Mellon Financial Company*;
                              Buck Consultants, Inc.
                              1 Pennsylvania Plaza, 29th Floor
                              New York, New York 10019;
                         Director and Vice Chairman:
                              Mellon Financial Services Corporation*;
                              Mellon Bank Corporation*;
                         Trustee:
                              Laurel Capital Advisors, LLP*;
                              Mellon Equity Associates, LLP*;
                              Mellon Bond Associates, LLP*;
                         Past Director:
                              Access Capital Strategies Corp.
                              124 Mount Auburn Street
                              Suite 200 North
                              Cambridge, MA 02138
                         Past Trustee:
                              Franklin Portfolio Associates Trust
                              2 International Place, 22nd Floor
                              Boston, MA 02110
    
   
MANDELL L. BERMAN        Real estate consultant and private investor
Director                      29100 Northwestern Highway, Suite 370
                              Southfield, Michigan 48034
    
   
BURTON C. BORGELT        Director:
Director                      Dentsply International, Inc.
                              570 West College Avenue
                              York, Pennsylvania 17405;
                              DeVlieg-Bullard, Inc.
                              1 Gorham Island
                              Westport, Connecticut 06880;
                              Mellon Bank Corporation*;
                              Mellon Bank, N.A.*
    
   
FRANK V. CAHOUET         Chairman of the Board, President and
Director                 Chief Executive Officer:
                              Mellon Bank Corporation*;
                         Director:
                              Avery Dennison Corporation
                              150 North Orange Grove Boulevard
                              Pasadena, California 91103;
                              Saint-Gobain Corporation
                              750 East Swedesford Road
                              Valley Forge, Pennsylvania 19482;
                              Alleghany Teledyne, Inc.
                              1901 Avenue of the Stars
                              Los Angeles, California 90067;
                         Past Chairman, President and Chief Executive
                         Officer:
                              Mellon Bank, N.A.*
    
   
STEPHEN E. CANTER        Chairman and President:
Vice Chairman,                Dreyfus Investment Advisors, Inc.****
Chief Investment Officer,     Director:
and a Director                The Dreyfus Trust Company+
    
   
CHRISTOPHER M. CONDRON   President and Chief Operating Officer:
President, Chief              Mellon Bank, N.A.*;
Executive Officer,       President and Director:
Chief Operating               Boston Safe Advisors, Inc.**;
Officer and a            Vice-Chairman and Director:
Director                      Mellon Bank Corporation*;
                              The Boston Company, Inc.**;
                              Director:
                              Certus Asset Advisors Corporation++;
                              Mellon Capital Management Corporation***;
                              Boston Safe Deposit and Trust Company**;
                         Past President and Director:
                              The Boston Company Financial Services, Inc.**;
                         Past President:
                              The Boston Company Financial Strategies, Inc.**;
                              Boston Safe Deposit and Trust Company**;
                         Past Director:
                              Mellon Preferred Capital Corporation**;
                              Access Capital Strategies Corp.
                              124 Mount Auburn Street
                              Suite 200 North
                              Cambridge, MA 02138;
                         Past Chairman, President, and Chief Executive Officer:
                              The Boston Company Asset Management, Inc.**;

CHRISTOPHER M. CONDRON   Past Partner Representative:
President, Chief              Pareto Partners
Executive Officer,            271 Regent Street
Chief Operating               London, England W1R 8PP;
Officer and a Director   Past Trustee:
(Continued)                   Franklin Portfolio Associates Trust
                              2 International Place, 22nd Floor
                              Boston, MA. 02710;
                              Mellon Bond Associates, LLP*;
                              Mellon Equity Associates, LLP*;
    
   
LAWRENCE S. KASH         Executive Vice President:
Vice Chairman-Distribution    Mellon Bank, N.A.*;
and a Director           Chairman, President and Director:
                              The Dreyfus Consumer Credit Corporation****;
                         Trustee, President and Chief Executive Officer:
                              Laurel Capital Advisors, LLP*;
                         Director:
                              Dreyfus Investment Advisors, Inc.****;
                              Seven Six Seven Agency, Inc.****;
                         President and Director:
                              Dreyfus Service Corporation+;
                              Dreyfus Precious Metals, Inc.+;
                              Dreyfus Service Organization, Inc.****;
                              The Boston Company, Inc.**;
                              Boston Group Holdings, Inc.**;
                         Chairman and Chief Executive Officer:
                              Dreyfus Brokerage Services, Inc.
                              401 North Maple Avenue
                              Beverly Hills, CA 90210;
                         Chairman, President and Chief Executive Officer:
                              The Dreyfus Trust Company+;
                              The Boston Company Advisors, Inc.
                              Wilmington, DE.
    
   
J. DAVID OFFICER         Director:
Vice Chairman                 Dreyfus Financial Services Corporation*****;
and a Director                Dreyfus Investment Services Corporation*****;
                              Mellon Trust of Florida
                              2875 Northeast 191st Street
                              North Miami Beach, Florida 33180;
                              Mellon Preferred Capital Corporation**;
                              Boston Group Holdings, Inc.**;
                              Mellon Trust of New York
                              1301 Avenue of the Americas - 41st Floor
                              New York, New York 10019;
                              Mellon Trust of California
                              400 South Hope Street
                              Los Angeles, California 90071-2806;
                         Executive Vice President:
                              Dreyfus Service Corporation****;
                              Mellon Bank, N.A.*;
                         Vice Chairman and Director:
                              The Boston Company, Inc.**;
                         President and Director:
                              RECO, Inc.**;
                              The Boston Company Financial Services, Inc.**;
                              Boston Safe Deposit and Trust Company**;
    
   
RICHARD F. SYRON         Chairman of the Board and Chief Executive Officer:
Director                      American Stock Exchange
(Continued)                   86 Trinity Place
                              New York, New York 10006;
                         Director:
                              John Hancock Mutual Life Insurance Company
                              John Hancock Place, Box 111
                              Boston, Massachusetts 02117;
                              Thermo Electron Corporation
                              81 Wyman Street, Box 9046
                              Waltham, Massachusetts 02254-9046;
                              American Business Conference
                              1730 K Street, NW, Suite 120
                              Washington, D.C. 20006;
                         Trustee:
                              Boston College - Board of Trustees
                              140 Commonwealth Ave.
                              Chestnut Hill, Massachusetts 02167-3934
    
   
RONALD P. O'HANLEY III   Director:
Vice Chairman                 The Boston Company Asset Management, LLC**;
                              TBCAM Holding, Inc.**;
                              Franklin Portfolio Holdings, Inc.
                              Two International Place - 22nd Floor
                              Boston, Massachusetts 02110;
                              Mellon Capital Management Corporation***;
                              Certus Asset Advisors Corporation++;
                              Mellon-France Corporation***;
                         Chairman and Director:
                              Boston Safe Advisors, Inc.**;
                         Partner Representative:
                              Pareto Partners
                              271 Regent Street
                              London, England W1R 8PP;
                         Chairman and Trustee:
                              Mellon Bond Associates, LLP*;
                              Mellon Equity Associates, LLP*;
                         Trustee:
                              Laurel Capital Advisors, LLP*;
                         Chairman, President and Chief Executive Officer:
                              Mellon Global Investing Corp.*;
                         Partner:
                              McKinsey & Company, Inc.
                              Boston, Massachusetts
    
   
WILLIAM T. SANDALLS, JR. Chairman and Director:
Executive Vice President      Dreyfus Transfer, Inc.
                              One American Express Plaza
                              Providence, Rhode Island 02903;
                         President and Director:
                              Dreyfus-Lincoln, Inc.
                              4500 New Linden Hill Rd.
                              Wilmington, DE 19808;
                         Executive Vice President and Chief Financial Officer:
                              Dreyfus Service Corporation****;
                         Executive Vice President, Treasurer and Director:
                              Dreyfus Service Organization, Inc.****;
                         Director and Treasurer:
                              Dreyfus Investment Advisors, Inc.****;
                              Seven Six Seven Agency, Inc.****;
                              Dreyfus Precious Metals, Inc.+;
WILLIAM T. SANDALLS, JR. Director, Vice President and Treasurer:
Executive Vice President      The Dreyfus Consumer Credit Corporation****;
(Continued)                   The TruePenny Corporation****
                         Director, Treasurer and Chief Financial Officer:
                              The Dreyfus Trust Company+;
                         Past Director and President:
                              Lion Management, Inc.****;
                              Dreyfus Partnership Management, Inc.****;
                         Past Director and Executive Vice President:
                              Dreyfus Service Organization, Inc.****;
                         Past Director and Treasurer:
                              Dreyfus Personal Management, Inc.****
    
   
MARK N. JACOBS           Director:
Vice President,               Dreyfus Service Organization, Inc.****;
General Counsel               The Dreyfus Trust Company+;
and Secretary            Director and Secretary:
                              Dreyfus Investment Advisors, Inc.****;
                              The TruePenny Corporation****;
                         Past Director, Vice President and Secretary:
                              Lion Management, Inc.****
    
   
PATRICE M. KOZLOWSKI     None
Vice President-
Corporate Communications
    
   
MARY BETH LEIBIG         None
Vice President-
Human Resources
    
   
ANDREW S. WASSER         Vice President:
Vice President-Information    Mellon Bank Corporation*
Services
    
   
RICHARD TERRES           None
Vice President
    
   
WENDY STRUTT             None
Vice President
    
   
JAMES BITETTO            None
Assistant Secretary
    
   
STEVEN F. NEWMAN         Vice President, Secretary and Director:
Assistant Secretary           Dreyfus Transfer, Inc.
                              One American Express Plaza
                              Providence, Rhode Island 02903;
                         Assistant Secretary:
                              Dreyfus Service Organization, Inc.****
    

______________________________________
*    The address of the business so indicated is One Mellon Bank Center,
     Pittsburgh, Pennsylvania 15258.
**   The address of the business so indicated is One Mellon Bank Place,
     Boston, Massachusetts, 02108.
***  The address of the business so indicated is 595 Market Street, Suite
     #3000, San Francisco CA 94105.
**** The address of the business so indicated is 200 Park Avenue, New York,
     New York 10166.
*****The address of the business so indicated is Union Trust Building,
     501 Grant Street, Pittsburgh, PA 15259.
+    The address of the business so indicated is 144 Glenn Curtiss
     Boulevard, Uniondale, New York, 11556-0144.
++   The address of the business so indicated is One Bush Street, Suite 450,
     San Francisco, CA. 94104.



Item 29.  Principal Underwriters
________  ______________________

     (a)  Other investment companies for which Registrant's principal
underwriter (exclusive distributor) acts as principal underwriter or
exclusive distributor:

     1)     Comstock Partners Funds, Inc.
     2)     Dreyfus A Bonds Plus, Inc.
     3)     Dreyfus Appreciation Fund, Inc.
     4)     Dreyfus Asset Allocation Fund, Inc.
     5)     Dreyfus Balanced Fund, Inc.
     6)     Dreyfus BASIC GNMA Fund
     7)     Dreyfus BASIC Money Market Fund, Inc.
     8)     Dreyfus BASIC Municipal Fund, Inc.
     9)     Dreyfus BASIC U.S. Government Money Market Fund
     10)    Dreyfus California Intermediate Municipal Bond Fund
     11)    Dreyfus California Tax Exempt Bond Fund, Inc.
     12)    Dreyfus California Tax Exempt Money Market Fund
     13)    Dreyfus Cash Management
     14)    Dreyfus Cash Management Plus, Inc.
     15)    Dreyfus Connecticut Intermediate Municipal Bond Fund
     16)    Dreyfus Connecticut Municipal Money Market Fund, Inc.
     17)    Dreyfus Florida Intermediate Municipal Bond Fund
     18)    Dreyfus Florida Municipal Money Market Fund
     19)    The Dreyfus Fund Incorporated
     20)    Dreyfus Global Bond Fund, Inc.
     21)    Dreyfus Global Growth Fund
     22)    Dreyfus GNMA Fund, Inc.
     23)    Dreyfus Government Cash Management Funds
     24)    Dreyfus Growth and Income Fund, Inc.
     25)    Dreyfus Growth and Value Funds, Inc.
     26)    Dreyfus Growth Opportunity Fund, Inc.
     27)    Dreyfus Income Funds
     28)    Dreyfus Index Funds, Inc.
     29)    Dreyfus Institutional Money Market Fund
     30)    Dreyfus Institutional Preferred Money Market Fund
     31)    Dreyfus Institutional Short Term Treasury Fund
     32)    Dreyfus Insured Municipal Bond Fund, Inc.
     33)    Dreyfus Intermediate Municipal Bond Fund, Inc.
     34)    Dreyfus International Funds, Inc.
     35)    Dreyfus Investment Grade Bond Funds, Inc.
     36)    Dreyfus Investment Portfolios
     37)    The Dreyfus/Laurel Funds, Inc.
     38)    The Dreyfus/Laurel Funds Trust
     39)    The Dreyfus/Laurel Tax-Free Municipal Funds
     40)    Dreyfus LifeTime Portfolios, Inc.
     41)    Dreyfus Liquid Assets, Inc.
     42)    Dreyfus Massachusetts Intermediate Municipal Bond Fund
     43)    Dreyfus Massachusetts Municipal Money Market Fund
     44)    Dreyfus Massachusetts Tax Exempt Bond Fund
     45)    Dreyfus MidCap Index Fund
     46)    Dreyfus Money Market Instruments, Inc.
     47)    Dreyfus Municipal Bond Fund, Inc.
   
    
     48)    Dreyfus Municipal Cash Management Plus
     49)    Dreyfus New Jersey Intermediate Municipal Bond Fund
     50)    Dreyfus New Jersey Municipal Bond Fund, Inc.
     51)    Dreyfus New Jersey Municipal Money Market Fund, Inc.
     52)    Dreyfus New Leaders Fund, Inc.
     53)    Dreyfus New York Insured Tax Exempt Bond Fund
     54)    Dreyfus New York Municipal Cash Management
     55)    Dreyfus New York Tax Exempt Bond Fund, Inc.
     56)    Dreyfus New York Tax Exempt Intermediate Bond Fund
     57)    Dreyfus New York Tax Exempt Money Market Fund
     58)    Dreyfus 100% U.S. Treasury Intermediate Term Fund
     59)    Dreyfus 100% U.S. Treasury Long Term Fund
     60)    Dreyfus 100% U.S. Treasury Money Market Fund
     61)    Dreyfus 100% U.S. Treasury Short Term Fund
     62)    Dreyfus Pennsylvania Intermediate Municipal Bond Fund
     63)    Dreyfus Pennsylvania Municipal Money Market Fund
     64)    Dreyfus Premier California Municipal Bond Fund
     65)    Dreyfus Premier Equity Funds, Inc.
     66)    Dreyfus Premier International Funds, Inc.
     67)    Dreyfus Premier GNMA Fund
     68)    Dreyfus Premier Worldwide Growth Fund, Inc.
     69)    Dreyfus Premier Insured Municipal Bond Fund
     70)    Dreyfus Premier Municipal Bond Fund
     71)    Dreyfus Premier New York Municipal Bond Fund
     72)    Dreyfus Premier State Municipal Bond Fund
     73)    Dreyfus Premier Value Fund
     74)    Dreyfus Short-Intermediate Government Fund
     75)    Dreyfus Short-Intermediate Municipal Bond Fund
     76)    The Dreyfus Socially Responsible Growth Fund, Inc.
     77)    Dreyfus Stock Index Fund, Inc.
     78)    Dreyfus Tax Exempt Cash Management
     79)    The Dreyfus Third Century Fund, Inc.
     80)    Dreyfus Treasury Cash Management
     81)    Dreyfus Treasury Prime Cash Management
     82)    Dreyfus Variable Investment Fund
     83)    Dreyfus Worldwide Dollar Money Market Fund, Inc.
     84)    General California Municipal Bond Fund, Inc.
     85)    General California Municipal Money Market Fund
     86)    General Government Securities Money Market Fund, Inc.
     87)    General Money Market Fund, Inc.
     88)    General Municipal Bond Fund, Inc.
     89)    General Municipal Money Market Funds, Inc.
     90)    General New York Municipal Bond Fund, Inc.
     91)    General New York Municipal Money Market Fund


(b)

                                                             Positions and
Name and principal    Positions and offices with             offices with
business address           the Distributor                   Registrant
__________________    ___________________________            _____________

Marie E. Connolly+    Director, President, Chief             President and
                      Executive Officer and Compliance       Treasurer
                      Officer

Joseph F. Tower, III+ Director, Senior Vice President,       Vice President
                      Treasurer and Chief Financial Officer  and Assistant
                                                             Treasurer

Mary A. Nelson+       Vice President                         Vice President
                                                             and Assistant
                                                             Treasurer

Paul Prescott+        Vice President                         None

Jean M. O'Leary+      Assistant Secretary and                None
                      Assistant Clerk

John W. Gomez+        Director                               None

William J. Nutt+      Director                               None




________________________________
 +  Principal business address is 60 State Street, Boston, Massachusetts
    02109.
++  Principal business address is 200 Park Avenue, New York, New York
    10166.
Item 30.   Location of Accounts and Records
           ________________________________

                 1.  First Data Investor Services Group, Inc.,
                     a subsidiary of First Data Corporation
                     P.O. Box 9671
                     Providence, Rhode Island 02940-9671

                 2.  The Bank of New York
                     90 Washington Street
                     New York, New York 10286

                 3.  Dreyfus Transfer, Inc.
                     P.O. Box 9671
                     Providence, Rhode Island 02940-9671

                 4.  The Dreyfus Corporation
                     200 Park Avenue
                     New York, New York 10166

Item 31.   Management Services
_______    ___________________

           Not Applicable

Item 32.   Undertakings
________   ____________


  (1)      To call a meeting of shareholders for the purpose of voting upon
           the question of removal of a Board member or Board members when
           requested in writing to do so by the holders of at least 10% of
           the Registrant's outstanding shares and in connection with such
           meeting to comply with the provisions of Section 16(c) of the
           Investment Company Act of 1940 relating to shareholder
           communications.



                                 SIGNATURES
                               -------------

     Pursuant to the requirements of the Securities Act of 1933 and the
Investment Company Act of 1940, the Registrant certifies that it meets all
of
the requirements for effectiveness of this Amendment to the Registration
Statement pursuant to Rule 485(b) under the Securities Act of 1933 and has
duly caused this Amendment to the Registration Statement to be signed on its
behalf by the undersigned, thereunto duly authorized, in the City of New
York, and State of New York on the 22nd day of September, 1998.

                    DREYFUS MUNICIPAL MONEY MARKET FUND, INC.


            BY:    /s/Marie E. Connolly*
                   -----------------------------------------------
                   MARIE E. CONNOLLY, PRESIDENT

         Pursuant to the requirements of the Securities Act of 1933, this
Amendment to the Registration Statement has been signed below by the
following persons in the capacities and on the dates indicated.

        Signatures                   Title                  Date
__________________________    ___________________________   _________

/s/Marie E. Connolly*         President and Treasurer       9/22/98
- ---------------------------   (Principal Executive
Marie E. Connolly             Accounting and Financial
                              Officer)

/s/Joseph S. DiMartino*       Chairman of the Board         9/22/98
- ---------------------------
Joseph S. DiMartino

/s/David W. Burke*            Board Member                  9/22/98
- ---------------------------
David W. Burke

/s/Hodding Carter, III*       Board Member                  9/22/98
- ---------------------------
Hodding Carter, III

/s/Ehud Houminer*             Board Member                  9/22/98
- ---------------------------
Ehud Houminer

/s/Richard C. Leone*          Board Member                  9/22/98
- ---------------------------
Richard C. Leone

/s/Hans C. Mautner*           Board Member                  9/22/98
- ---------------------------
Hans C. Mautner

/s/Robin A. Pringle*          Board Member                  9/22/98
- ---------------------------
Robin A. Pringle

/s/John E. Zuccotti*          Board Member                  9/22/98
- ---------------------------
John E. Zuccotti


*BY: /s/Stephanie D. Pierce
     -----------------------
     Stephanie D. Pierce,
     Attorney-in-Fact




                              INDEX OF EXHIBITS

                    ITEM 24 (b):

                    (2)  By-Laws

                    (11) Consent of Independent Auditors

                    (17) Financial Data Schedule


                               OTHER EXHIBITS


                    (a)  Powers of Attorney

                    (b)  Certificate of Secretary


                                   BY-LAWS

                                     OF

                  Dreyfus Municipal Money Market Fund, Inc.

                          (A Maryland Corporation)

                                 ___________


                                  ARTICLE I


                                STOCKHOLDERS


          1.   CERTIFICATES REPRESENTING STOCK.  Certificates representing
shares of stock shall set forth thereon the statements prescribed by
Section 2-211 of the Maryland General Corporation Law ("General Corporation
Law") and by any other applicable provision of law and shall be signed by
the Chairman of the Board or the President or a Vice President and
countersigned by the Secretary or an Assistant Secretary or the Treasurer or
an Assistant Treasurer and may be sealed with the corporate seal.  The
signatures of any such officers may be either manual or facsimile signatures
and the corporate seal may be either facsimile or any other form of seal.
In case any such officer who has signed manually or by facsimile any such
certificate ceases to be such officer before the certificate is issued, it
nevertheless may be issued by the corporation with the same effect as if the
officer had not ceased to be such officer as of the date of its issue.

          No certificate representing shares of stock shall be issued for
any share of stock until such share is fully paid, except as otherwise
authorized in Section 2-206 of the General Corporation Law.

          The corporation may issue a new certificate of stock in place of
any certificate theretofore issued by it, alleged to have been lost, stolen
or destroyed, and the Board of Directors may require, in its discretion, the
owner of any such certificate or the owner's legal representative to give
bond, with sufficient surety, to the corporation to indemnify it against any
loss or claim that may arise by reason of the issuance of a new certificate.

          2.   SHARE TRANSFERS.  Upon compliance with provisions restricting
the transferability of shares of stock, if any, transfers of shares of stock
of the corporation shall be made only on the stock transfer books of the
corporation by the record holder thereof or by his attorney thereunto
authorized by power of attorney duly executed and filed with the Secretary
of the corporation or with a transfer agent or a registrar, if any, and on
surrender of the certificate or certificates for such shares of stock
properly endorsed and the payment of all taxes due thereon.

          3.   RECORD DATE FOR STOCKHOLDERS.  The Board of Directors may
fix, in advance, a date as the record date for the purpose of determining
stockholders entitled to notice of, or to vote at, any meeting of
stockholders, or stockholders entitled to receive payment of any dividend or
the allotment of any rights or in order to make a determination of
stockholders for any other proper purpose.  Such date, in any case, shall be
not more than 90 days, and in case of a meeting of stockholders not less
than 10 days, prior to the date on which the meeting or particular action
requiring such determination of stockholders is to be held or taken.  In
lieu of fixing a record date, the Board of Directors may provide that the
stock transfer books shall be closed for a stated period but not to exceed
20 days.  If the stock transfer books are closed for the purpose of
determining stockholders entitled to notice of, or to vote at, a meeting of
stockholders, such books shall be closed for at least 10 days immediately
preceding such meeting.  If no record date is fixed and the stock transfer
books are not closed for the determination of stockholders:  (1) The record
date for the determination of stockholders entitled to notice of, or to vote
at, a meeting of stockholders shall be at the close of business on the day
on which the notice of meeting is mailed or the day 30 days before the
meeting, whichever is the closer date to the meeting; and (2) The record
date for the determination of stockholders entitled to receive payment of a
dividend or an allotment of any rights shall be at the close of business on
the day on which the resolution of the Board of Directors declaring the
dividend or allotment of rights is adopted, provided that the payment or
allotment date shall not be more than 60 days after the date on which the
resolution is adopted.

          4.   MEANING OF CERTAIN TERMS.  As used herein in respect of the
right to notice of a meeting of stockholders or a waiver thereof or to
participate or vote thereat or to consent or dissent in writing in lieu of a
meeting, as the case may be, the term "share of stock" or "shares of stock"
or "stockholder" or "stockholders" refers to an outstanding share or shares
of stock and to a holder or holders of record of outstanding shares of stock
when the corporation is authorized to issue only one class of shares of
stock and said reference also is intended to include any outstanding share
or shares of stock and any holder or holders of record of outstanding shares
of stock of any class or series upon which or upon whom the Charter confers
such rights where there are two or more classes or series of shares or upon
which or upon whom the General Corporation Law confers such rights
notwithstanding that the Charter may provide for more than one class or
series of shares of stock, one or more of which are limited or denied such
rights thereunder.

          5.   STOCKHOLDER MEETINGS.

               ANNUAL MEETINGS.  If a meeting of the stockholders of the
corporation is required by the Investment Company Act of 1940, as amended,
to elect the directors, then there shall be submitted to the stockholders at
such meeting the question of the election of directors, and a meeting called
for that purpose shall be designated the annual meeting of stockholders for
that year.  In other years in which no action by stockholders is required
for the aforesaid election of directors, no annual meeting need be held.

               SPECIAL MEETINGS.  Special stockholder meetings for any
purpose may be called by the Board of Directors or the President and shall
be called by the Secretary for the purpose of removing a Director whenever
the holders of shares entitled to at least ten percent of all the votes
entitled to be cast at such meeting shall make a duly authorized request
that such meeting be called.
               The Secretary shall call a special meeting of stockholders
for all other purposes whenever the holders of shares entitled to at least a
majority of all the votes entitled to be cast at such meeting shall make a
duly authorized request that such meeting be called.  Such request shall
state the purpose of such meeting and the matters proposed to be acted on
thereat, and no other business shall be transacted at any such special
meeting.
The Secretary shall inform such stockholders of the reasonably estimated
costs of preparing and mailing the notice of the meeting, and upon payment
to the corporation of such costs, the Secretary shall give notice in the
manner provided for below.

               PLACE AND TIME.  Stockholder meetings shall be held at such
place, either within the State of Maryland or at such other place within the
United States, and at such date or dates as the directors from time to time
may fix.

               NOTICE OR ACTUAL OR CONSTRUCTIVE WAIVER OF NOTICE. Written or
printed notice of all meetings shall be given by the Secretary and shall
state the time and place of the meeting.  The notice of a special meeting
shall state in all instances the purpose or purposes for which the meeting
is called.  Written or printed notice of any meeting shall be given to each
stockholder either by mail or by presenting it to the stockholder personally
or by leaving it at his or her residence or usual place of business not less
than 10 days and not more than 90 days before the date of the meeting,
unless any provisions of the General Corporation Law shall prescribe a
different elapsed period of time, to each stockholder at his or her address
appearing on the books of the corporation or the address supplied by the
stockholder for the purpose of notice.  If mailed, notice shall be deemed to
be given when deposited in the United States mail addressed to the
stockholder at his or her post office address as it appears on the records
of the corporation with postage thereon prepaid.  Whenever any notice of the
time, place or purpose of any meeting of stockholders is required to be
given under the provisions of these by-laws or of the General Corporation
Law, a waiver thereof in writing, signed by the stockholder and filed with
the records of the meeting, whether before or after the holding thereof, or
actual attendance or representation at the meeting shall be deemed
equivalent to the giving of such notice to such stockholder.  The foregoing
requirements of notice also shall apply, whenever the corporation shall have
any class of stock which is not entitled to vote, to holders of stock who
are not entitled to vote at the meeting, but who are entitled to notice
thereof and to dissent from any action taken thereat.

               STATEMENT OF AFFAIRS.  The President of the corporation or,
if the Board of Directors shall determine otherwise, some other executive
officer thereof, shall prepare or cause to be prepared annually a full and
correct statement of the affairs of the corporation, including a balance
sheet and a financial statement of operations for the preceding fiscal year,
which shall be filed at the principal office of the corporation in the State
of Maryland.

               QUORUM.  At any meeting of stockholders, the presence in
person or by proxy of stockholders entitled to cast one-third of the votes
thereat shall constitute a quorum.  In the absence of a quorum, the
stockholders present in person or by proxy, by majority vote and without
notice other than by announcement, may adjourn the meeting from time to
time, but not for a period exceeding 120 days after the original record date
until a quorum shall attend.

               ADJOURNED MEETINGS.  A meeting of stockholders convened on
the date for which it was called (including one adjourned to achieve a
quorum as provided in the paragraph above) may be adjourned from time to
time without further notice to a date not more than 120 days after the
original record date, and any business may be transacted at any adjourned
meeting which could have been transacted at the meeting as originally
called.

               CONDUCT OF MEETING.  Meetings of the stockholders shall be
presided over by one of the following officers in the order of seniority and
if present and acting:  the President, a Vice President or, if none of the
foregoing is in office and present and acting, by a chairman to be chosen by
the stockholders.  The Secretary of the corporation or, in his or her
absence, an Assistant Secretary, shall act as secretary of every meeting,
but if neither the Secretary nor an Assistant Secretary is present the
chairman of the meeting shall appoint a secretary of the meeting.

               PROXY REPRESENTATION.  Every stockholder may authorize
another person or persons to act for him by proxy in all matters in which a
stockholder is entitled to participate, whether for the purposes of
determining the stockholder's presence at a meeting, or whether by waiving
notice of any meeting, voting or participating at a meeting, expressing
consent or dissent without a meeting or otherwise.  Every proxy shall be
executed in writing by the stockholder or by his or her duly authorized
attorney-in-fact or be in such other form as may be permitted by the
Maryland General Corporation Law, including documents conveyed by electronic
transmission and filed with the Secretary of the corporation.  A copy,
facsimile transmission or other reproduction of the writing or transmission
may be substituted for the original writing or transmission for any purpose
for which the original transmission could be used.  No unrevoked proxy shall
be valid after 11 months from the date of its execution, unless a longer
time is expressly provided therein.  The placing of a stockholder's name on
a proxy pursuant to telephonic or electronically transmitted instructions
obtained pursuant to procedures reasonably designed to verify that such
instructions have been authorized by such stockholder shall constitute
execution of such proxy by or on behalf of such stockholder.

               INSPECTORS OF ELECTION.  The directors, in advance of any
meeting, may, but need not, appoint one or more inspectors to act at the
meeting or any adjournment thereof.  If an inspector or inspectors are not
appointed, the person presiding at the meeting may, but need not, appoint
one or more inspectors.  In case any person who may be appointed as an
inspector fails to appear or act, the vacancy may be filled by appointment
made by the directors in advance of the meeting or at the meeting by the
person presiding thereat.  Each inspector, if any, before entering upon the
discharge of his duties, shall take and sign an oath to execute faithfully
the duties of inspector at such meeting with strict impartiality and
according to the best of his ability.  The inspectors, if any, shall
determine the number of shares outstanding and the voting power of each, the
shares represented at the meeting, the existence of a quorum and the
validity and effect of proxies, and shall receive votes, ballots or
consents, hear and determine all challenges and questions arising in
connection with the right to vote, count and tabulate all votes, ballots or
consents, determine the result and do such acts as are proper to conduct the
election or vote with fairness to all stockholders.  On request of the
person presiding at the meeting or any stockholder, the inspector or
inspectors, if any, shall make a report in writing of any challenge,
question or matter determined by him or them and execute a certificate of
any fact found by him or them.

               VOTING.  Each share of stock shall entitle the holder thereof
to one vote, except in the election of directors, at which each said vote
may be cast for as many persons as there are directors to be elected.
Except for election of directors, a majority of the votes cast at a meeting
of stockholders, duly called and at which a quorum is present, shall be
sufficient to take or authorize action upon any matter which may come before
a meeting, unless more than a majority of votes cast is required by the
corporation's Articles of Incorporation.  A plurality of all the votes cast
at a meeting at which a quorum is present shall be sufficient to elect a
director.

          6.   INFORMAL ACTION.  Any action required or permitted to be
taken at a meeting of stockholders may be taken without a meeting if a
consent in writing, setting forth such action, is signed by all the
stockholders entitled to vote on the subject matter thereof and any other
stockholders entitled to notice of a meeting of stockholders (but not to
vote thereat) have waived in writing any rights which they may have to
dissent from such action and such consent and waiver are filed with the
records of the corporation.

          For Funds offered exclusively to insurance products and retirement
plans:

          7.   LIMITATION ON THE SALE OF SHARES OF STOCK IN THE CORPORATION.
Shares of stock in the corporation shall not be sold to individuals and
entities other than Participating Insurance Companies, as defined by the
Board of Directors, pursuant to variable annuity and variable life insurance
contracts, and Eligible Plans, as defined by the Board of Directors.  Sales
of shares of stock in the corporation to individuals or entities other than
Participating Insurance Companies or Eligible Plans are unauthorized and
shall be deemed invalid and void ab ibnitio.


                                 ARTICLE II

                             BOARD OF DIRECTORS


          1.   FUNCTIONS AND DEFINITION.  The business and affairs of the
corporation shall be managed under the direction of a Board of Directors.
The use of the phrase "entire board" herein refers to the total number of
directors which the corporation would have if there were no vacancies.

          2.   QUALIFICATIONS AND NUMBER.  Each director shall be a natural
person of full age.  A director need not be a stockholder, a citizen of the
United States or a resident of the State of Maryland.  The initial Board of
Directors shall consist of one person.  Thereafter, the number of directors
constituting the entire board shall never be less than three or the number
of stockholders, whichever is less.  At any regular meeting or at any
special meeting called for that purpose, a majority of the entire Board of
Directors may increase or decrease the number of directors, provided that
the number thereof shall never be less than three or the number of
stockholders, whichever is less, nor more than twelve and further provided
that the tenure of office of a director shall not be affected by any
decrease in the number of directors.

          3.   ELECTION AND TERM.  The first Board of Directors shall
consist of the director named in the Articles of Incorporation and shall
hold office until the first meeting of stockholders or until his or her
successor has been elected and qualified.  Thereafter, directors who are
elected at a meeting of stockholders, and directors who are elected in the
interim to fill vacancies and newly created directorships, shall hold office
until their successors have been elected and qualified, as amended.  Newly
created directorships and any vacancies in the Board of Directors, other
than vacancies resulting from the removal of directors by the stockholders,
may be filled by the Board of Directors, subject to the provisions of the
Investment Company Act of 1940, as amended.  Newly created directorships
filled by the Board of Directors shall be by action of a majority of the
entire Board of Directors then in office.  All vacancies to be filled by the
Board of Directors may be filled by a majority of the remaining members of
the Board of Directors, although such majority is less than a quorum
thereof.

          4.   MEETINGS.

               TIME.  Meetings shall be held at such time as the Board of
Directors shall fix, except that the first meeting of a newly elected Board
of Directors shall be held as soon after its election as the directors
conveniently may assemble.

               PLACE.  Meetings shall be held at such place within or
without the State of Maryland as shall be fixed by the Board.

               CALL.  No call shall be required for regular meetings for
which the time and place have been fixed.  Special meetings may be called by
or at the direction of the President or of a majority of the directors in
office.

               NOTICE OR ACTUAL OR CONSTRUCTIVE WAIVER.  Whenever any notice
of the time, place or purpose of any meeting of directors or any committee
thereof is required to be given under the provisions of the General
Corporation Law or of these by-laws, a waiver thereof in writing, signed by
the director or committee member entitled to such notice and filed with the
records of the meeting, whether before or after the holding thereof, or
actual attendance at the meeting shall be deemed equivalent to the giving of
such notice to such director or such committee member.

               QUORUM AND ACTION.  A majority of the entire Board of
Directors shall constitute a quorum except when a vacancy or vacancies
prevents such majority, whereupon a majority of the directors in office
shall constitute a quorum, provided such majority shall constitute at least
one-third of the entire Board and, in no event, less than two directors.  A
majority of the directors present, whether or not a quorum is present, may
adjourn a meeting to another time and place.  Except as otherwise
specifically provided by the Articles of Incorporation, the General
Corporation Law or these by-laws, the action of a majority of the directors
present at a meeting at which a quorum is present shall be the action of the
Board of Directors.

               CHAIRMAN OF THE MEETING.  The Chairman of the Board, if any
and if present and acting, or the President or any other director chosen by
the Board, shall preside at all meetings.

          5.   REMOVAL OF DIRECTORS.  Any or all of the directors may be
removed for cause or without cause by the stockholders, who may elect a
successor or successors to fill any resulting vacancy or vacancies for the
unexpired term of the removed director or directors.
   

          6.   COMMITTEES.  The Board of Directors may appoint from among
its members an Executive Committee and other committees composed of one or
more directors and may delegate to such committee or committees, in the
intervals between meetings of the Board of Directors, any or all of the
powers of the Board of Directors in the management of the business and
affairs of the corporation, except the power to amend the by-laws, to
approve any merger or share exchange which does not require stockholder
approval, to authorize dividends, to issue stock (except to the extent
permitted by law) or to recommend to stockholders any action requiring the
stockholders' approval.  In the absence of any member of any such committee,
the members thereof present at any meeting, whether or not they constitute a
quorum, may appoint a member of the Board of Directors to act in the place
of such absent member.
    

          7.   INFORMAL ACTION.  Any action required or permitted to be
taken at any meeting of the Board of Directors or of any committee thereof
may be taken without a meeting, if a written consent to such action is
signed by all members of the Board of Directors or any such committee, as
the case may be, and such written consent is filed with the minutes of the
proceedings of the Board or any such committee.

          Members of the Board of Directors or any committee designated
thereby may participate in a meeting of such Board or committee by means of
a conference telephone or similar communications equipment by means of which
all persons participating in the meeting can hear each other at the same
time.  Participation by such means shall constitute presence in person at a
meeting.


                                 ARTICLE III

                                  OFFICERS


          The corporation may have a Chairman of the Board and shall have a
President, a Secretary and a Treasurer, who shall be elected by the Board of
Directors, and may have such other officers, assistant officers and agents
as the Board of Directors shall authorize from time to time.  Any two or
more offices, except those of President and Vice President, may be held by
the same person, but no person shall execute, acknowledge or verify any
instrument in more than one capacity, if such instrument is required by law
to be executed, acknowledged or verified by two or more officers.

          Any officer or agent may be removed by the Board of Directors
whenever, in its judgment, the best interests of the corporation will be
served thereby.

                                 ARTICLE IV

              PRINCIPAL OFFICE - RESIDENT AGENT - STOCK LEDGER


          The address of the principal office of the corporation in the
State of Maryland prescribed by the General Corporation Law is 32 South
Street, c/o The Corporation Trust Incorporated, Baltimore, Maryland 21202.
The name and address of the resident agent in the State of Maryland
prescribed by the General Corporation Law are:  The Corporation Trust
Incorporated, 32 South Street, Baltimore, Maryland 21202.

          The corporation shall maintain, at its principal office in the
State of Maryland prescribed by the General Corporation Law or at the
business office or an agency of the corporation, an original or duplicate
stock ledger containing the names and addresses of all stockholders and the
number of shares of each class held by each stockholder.  Such stock ledger
may be in written form or any other form capable of being converted into
written form within a reasonable time for visual inspection.

          The corporation shall keep at said principal office in the State
of Maryland the original or a certified copy of the by-laws, including all
amendments thereto, and shall duly file thereat the annual statement of
affairs of the corporation prescribed by Section 2-313 of the General
Corporation Law.


                                  ARTICLE V

                               CORPORATE SEAL


          The corporate seal shall have inscribed thereon the name of the
corporation and shall be in such form and contain such other words and/or
figures as the Board of Directors shall determine or the law require.


                                 ARTICLE VI

                                 FISCAL YEAR


          The fiscal year of the corporation or any series thereof shall be
fixed, and shall be subject to change, by the Board of Directors.


                                 ARTICLE VII

                            CONTROL OVER BY-LAWS

          The power to make, alter, amend and repeal the by-laws is vested
exclusively in the Board of Directors of the corporation.


                                ARTICLE VIII

                               INDEMNIFICATION


          1.   INDEMNIFICATION OF DIRECTORS AND OFFICERS.  The corporation
shall indemnify its directors to the fullest extent that indemnification of
directors is permitted by the law.  The corporation shall indemnify its
officers to the same extent as its directors and to such further extent as
is consistent with law.  The corporation shall indemnify its directors and
officers who while serving as directors or officers also serve at the
request of the corporation as a director, officer, partner, trustee,
employee, agent or fiduciary of another corporation, partnership, joint
venture, trust, other enterprise or employee benefit plan to the same extent
as its directors and, in the case of officers, to such further extent as is
consistent with law.  The indemnifi-cation and other rights provided by this
Article shall continue as to a person who has ceased to be a director or
officer and shall inure to the benefit of the heirs, executors and
administrators of such a person.  This Article shall not protect any such
person against any liability to the corporation or any stockholder thereof
to which such person would otherwise be subject by reason of willful
misfeasance, bad faith, gross negligence or reckless disregard of the duties
involved in the conduct of his office ("disabling conduct").

          2.   ADVANCES.  Any current or former director or officer of the
corporation seeking indemnification within the scope of this Article shall
be entitled to advances from the corporation for payment of the reasonable
expenses incurred by him in connection with the matter as to which he is
seeking indemnification in the manner and to the fullest extent permissible
under the General Corporation Law.  The person seeking indemnification shall
provide to the corporation a written affirmation of his good faith belief
that the standard of conduct necessary for indemnification by the
corporation has been met and a written undertaking to repay any such advance
if it should ultimately be determined that the standard of conduct has not
been met.  In addition, at least one of the following additional conditions
shall be met:  (a) the person seeking indemnification shall provide a
security in form and amount acceptable to the corporation for his or her
undertaking; (b) the corporation is insured against losses arising by reason
of the advance; or (c) a majority of a quorum of directors of the
corporation who are neither "interested persons" as defined in
Section 2(a)(19) of the Investment Company Act of 1940, as amended, nor
parties to the proceeding ("disinterested non-party directors"), or
independent legal counsel, in a written opinion, shall have determined,
based on a review of facts readily available to the corporation at the time
the advance is proposed to be made, that there is reason to believe that the
person seeking indemnification will ultimately be found to be entitled to
indemnification.

          3.   PROCEDURE.  At the request of any person claiming
indemnification under this Article, the Board of Directors shall determine,
or cause to be determined, in a manner consistent with the General
Corporation Law, whether the standards required by this Article have been
met.  Indemnification shall be made only following:  (a) a final decision on
the merits by a court or other body before whom the proceeding was brought
that the person to be indemnified was not liable by reason of disabling
conduct or (b) in the absence of such a decision, a reasonable
determination, based upon a review of the facts, that the person to be
indemnified was not liable by reason of disabling conduct by (i) the vote of
a majority of a quorum of disinterested non-party directors or (ii) an
independent legal counsel in a written opinion.

          4.   INDEMNIFICATION OF EMPLOYEES AND AGENTS.  Employees and
agents who are not officers or directors of the corporation may be
indemnified, and reasonable expenses may be advanced to such employees or
agents, as may be provided by action of the Board of Directors or by
contract, subject to any limitations imposed by the Investment Company Act
of 1940, as amended.

          5.   OTHER RIGHTS.  The Board of Directors may make further
provision consistent with law for indemnification and advance of expenses to
directors, officers, employees and agents by resolution, agreement or
otherwise.  The indemnification provided by this Article shall not be deemed
exclusive of any other right, with respect to indemnification or otherwise,
to which those seeking indemnification may be entitled under any insurance
or other agreement or resolution of stockholders or disinterested non-party
directors or otherwise.

          6.   AMENDMENTS.  References in this Article are to the General
Corporation Law and to the Investment Company Act of 1940 as from time to
time amended.  No amendment of the by-laws shall affect any right of any
person under this Article based on any event, omission or proceeding prior
to the amendment.


Dated: February 2, 1998




                    CONSENT OF INDEPENDENT AUDITORS


We consent to the reference to our firm under the captions "Condensed
Financial Information" and "Transfer and Dividend Disbursing Agent,
Custodian, Counsel and Independent Auditors" and to the use of our report
dated July 6, 1998, which is incorporated by reference, in this Registration
Statement (Form N-1A No. 2-65232) of Dreyfus Municipal Money Market Fund, Inc.


                                               ERNST & YOUNG LLP


New York, New York
September 22, 1998



<TABLE> <S> <C>

<ARTICLE> 6
<CIK> 0000312564
<NAME> DREYFUS MUNICIPAL MONEY MARKET FUND, INC.
<MULTIPLIER> 1000
       
<S>                             <C>
<PERIOD-TYPE>                   12-MOS
<FISCAL-YEAR-END>                          MAY-31-1998
<PERIOD-END>                               MAY-31-1998
<INVESTMENTS-AT-COST>                           902664
<INVESTMENTS-AT-VALUE>                          902663
<RECEIVABLES>                                     9176
<ASSETS-OTHER>                                      69
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                                  911908
<PAYABLE-FOR-SECURITIES>                             0
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                         8191
<TOTAL-LIABILITIES>                               8191
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                        903741
<SHARES-COMMON-STOCK>                           905517
<SHARES-COMMON-PRIOR>                          1026413
<ACCUMULATED-NII-CURRENT>                          134
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                          (157)
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                           (1)
<NET-ASSETS>                                    903717
<DIVIDEND-INCOME>                                    0
<INTEREST-INCOME>                                37352
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                    6567
<NET-INVESTMENT-INCOME>                          30785
<REALIZED-GAINS-CURRENT>                          (35)
<APPREC-INCREASE-CURRENT>                            0
<NET-CHANGE-FROM-OPS>                            30751
<EQUALIZATION>                                       0
<DISTRIBUTIONS-OF-INCOME>                      (30785)
<DISTRIBUTIONS-OF-GAINS>                             0
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                        2925581
<NUMBER-OF-SHARES-REDEEMED>                  (3064321)
<SHARES-REINVESTED>                              17843
<NET-CHANGE-IN-ASSETS>                        (120931)
<ACCUMULATED-NII-PRIOR>                            134
<ACCUMULATED-GAINS-PRIOR>                        (122)
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                             5001
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                   6567
<AVERAGE-NET-ASSETS>                           1000211
<PER-SHARE-NAV-BEGIN>                             1.00
<PER-SHARE-NII>                                   .031
<PER-SHARE-GAIN-APPREC>                              0
<PER-SHARE-DIVIDEND>                            (.031)
<PER-SHARE-DISTRIBUTIONS>                            0
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                               1.00
<EXPENSE-RATIO>                                   .007
<AVG-DEBT-OUTSTANDING>                               0
<AVG-DEBT-PER-SHARE>                                 0
        


</TABLE>


                              POWER OF ATTORNEY


     The undersigned hereby constitute and appoint Margaret W. Chambers,
Marie E. Connolly, Christopher J. Kelly, Kathleen K. Morrisey, Michael S.
Petrucelli, Stephanie Pierce and Elba Vasquez, and each of them, with full
power to act without the other, his or her true and lawful attorney-in-fact
and agent, with full power of substitution and resubstitution, for him or
her, and in his or her name, place and stead, in any and all capacities
(until revoked in writing) to sign any and all amendments to the
Registration Statement of Dreyfus Municipal Money Market, Inc. (including
the post-effective amendments and amendments thereto), and to file the same,
with all exhibit thereto, and other documents in connection therewith, with
the Securities and Exchange Commission, granting unto said attorneys-in-fact
and agents, and each of them, full power and authority to do and perform
each and every act and thing ratifying and confirming all that said
attorneys-in-fact and agents or any of them, or their or his or her
substitute or substitutes, may lawfully do or cause to be done by virtue
hereof.

/s/ Joseph S. DiMartino                                     June 15, 1998
__________________________
Joseph S. DiMartino

/s/ David W. Burke                                          June 15, 1998
__________________________
David W. Burke

/s/ Hodding Carter, III                                     June 15, 1998
__________________________
Hodding Carter, III

/s/ Ehud Houminer                                           June 15, 1998
__________________________
Ehud Houminer

/s/ Richard C. Leone                                        June 15, 1998
__________________________
Richard C. Leone

/s/ Hans C. Mautner                                         June 15, 1998
__________________________
Hans C. Mautner

/s/ Robin A. Pringle                                        June 15, 1998
__________________________
Robin A. Pringle

/s/ John E. Zuccotti                                        June 15, 1998
__________________________
John E. Zuccotti




                              POWER OF ATTORNEY

     The undersigned hereby constitute and appoint Margaret W. Chambers,
Christopher J. Kelley, Kathleen K. Morrisey, Michael S. Petrucelli,
Stephanie Pierce and Elba Vasquez, and each of them, with full power to act
without the other, her true and lawful attorney-in-fact and agent, with full
power of substitution and resubstitution, for her, and in her name, place
and stead, in any and all capacities (until revoked in writing) to sign any
and all amendments to the Registration Statement of each Fund enumerated on
Exhibit A attached hereto (including post-effective amendments and
amendments thereto), and to file the same, with all exhibits thereto, and
other documents in connection therewith, with the Securities and Exchange
Commission, granting unto said attorneys-in-fact and agents, and each of
them, full power and authority to do and perform each and every act and
thing ratifying and confirming all that said attorneys-in-fact and agents or
any of them, or their or his or her substitute or substitutes, may lawfully
do or cause to be done by virtue hereof.



                                        July 23, 1998
Marie E. Connolly



                                  EXHIBIT A


                       DREYFUS NEW LEADERS FUND, INC.
                      DREYFUS MUNICIPAL BOND FUND, INC.
                     DREYFUS STRATEGIC MUNICIPALS, INC.
                 DREYFUS STRATEGIC MUNICIPAL BOND FUND, INC.
                  DREYFUS INSURED MUNICIPAL BOND FUND, INC.
                  DREYFUS MUNICIPAL MONEY MARKET FUND, INC.
                 DREYFUS CALIFORNIA MONEY MARKET FUND, INC.


                      ASSISTANT SECRETARY'S CERTIFICATE


     The undersigned, Stephanie Pierce, Vice President, Assistant Treasurer,
and Assistant Secretary of Dreyfus Municipal Money Market Fund, Inc. (the
"Fund"), hereby certifies that set forth below is a copy of the resolution
adopted by the Fund's Board members by unanimous written consent, dated June
15, 1998, authorizing the signing by Marie Connolly, Margaret W. Chambers,
Michael S. Petrucelli, Stephanie Pierce, Christopher J. Kelley, Kathleen K.
Morrisey, Elba Vasquez on behalf of the proper officers of the Fund pursuant
to a power of attorney:

     RESOLVED, that the following person be, and they hereby are, elected to
     the offices set forth opposite their respective names, to serve at the
     pleasure of the Fund's Board:

     President and Treasurer                      Marie E. Connolly
     Vice President and Secretary                 Margaret W. Chambers
     Vice President and Assistant Treasurer       Mary A. Nelson
     Vice President and Assistant Treasurer       George A. Rio
     Vice President and Assistant Treasurer       Joseph F. Tower III
     Vice President, Assistant Treasurer, and     Michael S. Petrucelli
     Assistant Secretary
     Vice President, Assistant Treasurer, and     Stephanie Pierce
     Assistant Secretary
     Vice President and Assistant Secretary       Douglas C. Conroy
     Vice President and Assistant Secretary       Christopher J. Kelley
     Vice President and Assistant Secretary       Kathleen K. Morrisey
     Vice President and Assistant Secretary       Elba Vasquez

     RESOLVED, that the Registration Statement and any and all amendments
     and supplements thereto may be signed by any one of Margaret W.
     Chambers, Marie E. Connolly, Christopher J. Kelley, Kathleen K.
     Morrisey, Michael S. Petrucelli, Stephanie Pierce and Elba Vasquez, as
     attorney-in-fact for the proper officers of the Fund, with full power
     of substitution and resubstitution; and that the appointment of each of
     such persons as such attorney-in-fact hereby is authorized and
     approved; and that such attorneys-in-fact each of them, shall have full
     power and authority to do and perform each and every act and thing
     requisite and necessary to be done in connection with such Registration
     Statement and any and all amendments and supplements thereto, as whom
     he or she is acting as attorney-in-fact, might or could do in person.

     IN WITNESS THEREOF, I have hereunder signed by name and affixed the
seal of the Fund on September 22, 1998.


                                   Stephanie Pierce
                                   Vice President, Assistant Treasurer, and
                                   Assistant Secretary

SEAL

Dreyfus Municipal Money Market Fund, Inc.



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