GENERAL GOVERNMENT SECURITIES MONEY MARKET FUND INC
485BPOS, 1996-05-30
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                                                          File Nos. 811-3456
                                                                    2-77207
                     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. 20                                   [ X ]
    

                                   and/or

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

     Amendment No. 20                                                  [ X ]
    


                      (Check appropriate box or boxes.)

            General Government Securities 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 June 3, 1996 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.
     ----
   

     Registrant has registered an indefinite number of shares of its common
stock under the Securities Act of 1933 pursuant to Section 24(f) of the
Investment Company Act of 1940.  Registrant's Rule 24f-2 Notice for the
fiscal year ended January 31, 1996 was filed on March 28, 1996.
    



            General Government Securities 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                4

   4           General Description of Registrant              5

   5           Management of the Fund                         6

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

   6           Capital Stock and Other Securities             17

   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-20

   13          Investment Objectives and Policies             B-2

   14          Management of the Fund                         B-4

   15          Control Persons and Principal                  B-7
               Holders of Securities

   16          Investment Advisory and Other                  B-7
               Services
    

_____________________________________

NOTE:  * Omitted since answer is negative or inapplicable.


            General Government Securities 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-20

   18          Capital Stock and Other Securities            B-20

   19          Purchase, Redemption and Pricing              B-9, B-12, B-18
               of Securities Being Offered

   20          Tax Status                                    B-19

   21          Underwriters                                  B-7

   22          Calculations of Performance Data              B-19

   23          Financial Statements                          B-22
    


Items in
Part C of
Form N-1A
_________

   24          Financial Statements and Exhibits              C-1

   25          Persons Controlled by or Under                 C-4
               Common Control with Registrant

   26          Number of Holders of Securities                C-4

   27          Indemnification                                C-4

   28          Business and Other Connections of              C-5
               Investment Adviser

   29          Principal Underwriters                         C-10

   30          Location of Accounts and Records               C-13

   31          Management Services                            C-13

   32          Undertakings                                   C-13


_____________________________________

NOTE:  * Omitted since answer is negative or inapplicable.



- ----------------------------------------------------------------------------
   

PROSPECTUS                                                        JUNE 3, 1996
    

                          GENERAL GOVERNMENT SECURITIES
                            MONEY MARKET FUND, INC.
- ----------------------------------------------------------------------------
   

        GENERAL GOVERNMENT SECURITIES 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 PROVIDE YOU WITH AS
HIGH A LEVEL OF CURRENT INCOME AS IS 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 IMPOSED BY THE FUND.
        THE DREYFUS CORPORATION PROFESSIONALLY MANAGES THE FUND'S PORTFOLIO.
   

        THE FUND'S SHARES MAY BE PURCHASED ONLY BY CLIENTS OF SERVICE AGENTS
AS DESCRIBED HEREIN. BY THIS PROSPECTUS, THE FUND IS OFFERING CLASS A AND
CLASS B SHARES. CLASS A SHARES AND CLASS B SHARES ARE IDENTICAL, EXCEPT AS TO
THE SERVICES OFFERED TO AND THE EXPENSES BORNE BY EACH CLASS.
    

        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 JUNE 3, 1996, 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. FOR A FREE COPY, 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. MONEY MARKET MUTUAL FUND SHARES INVOLVE CERTAIN INVESTMENT RISKS,
INCLUDING THE POSSIBLE LOSS OF PRINCIPAL.
- ----------------------------------------------------------------------------
                                    TABLE OF CONTENTS
   
<TABLE>

                                                Page                                                     Page
<S>                                               <C>       <C>                                            <C>
Annual Fund Operating Expenses............        3         How to Redeem Shares...................        12
Condensed Financial Information...........        4         Service Plan and Distribution Plan.....        15
Yield Information.........................        5         Shareholder Services Plans.............        15
Description of the Fund...................        5         Dividends, Distributions and Taxes.....        15
Management of the Fund....................        6         General Information....................        17
How to Buy Shares.........................        7         Appendix...............................        18
Shareholder Services......................        9
    
</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)
                                                                                  CLASS A           CLASS B
                                                                                   SHARES            SHARES
                                                                                 ---------         ---------
<S>                                                                                 <C>             <C>
    Management Fees..................................................               .50%              .50%
    12b-1 Fees.......................................................               .20%              .20%
    Other Expenses...................................................               .14%              .30%
    Total Fund Operating Expenses....................................               .84%             1.00%
    
</TABLE>
<TABLE>
   

EXAMPLE:

    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:
<S>                                                      <C>                                 <C>              <C>
                                                         1 YEAR                              $  9            $ 10
                                                         3 YEARS                             $ 27            $ 32
                                                         5 YEARS                             $ 47            $ 55
                                                         10 YEARS                            $104            $122
    
</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. Annual Fund Operating Expenses noted above have
been restated for Class B shares to reflect an undertaking by The Dreyfus
Corporation  to reimburse the Fund for expenses under the Fund's Shareholder
Services Plan with respect to Class B if the annual fund operating expenses
for Class B exceed 1% of the average net assets for Class B for the fiscal
year ending January 31, 1997. The expenses noted above for Class B, without
reimbursement, would have been: Other Expenses _ .40% and Total Fund
Operating Expenses _ 1.10%. The information in the foregoing table does not
reflect any other fee waivers or expense reimbursement arrangements that may
be in effect. Certain Service Agents (as defined below) may charge their
clients direct fees for effecting transactions in Fund shares; such fees are
not reflected in the foregoing table. See "Management of the Fund," "How to
Buy Shares," "Service Plan and Distribution Plan" and "Shareholder Services
Plans."
    

          Page 3
                      CONDENSED FINANCIAL INFORMATION
   

        The information in the following tables has been audited by Ernst &
Young LLP, the Fund's independent auditors, whose report thereon appears in
the Statement of Additional Information. Further financial data and related
notes are included in the Statement of Additional Information, available upon
request.
    

                          FINANCIAL HIGHLIGHTS
   

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


                                                                       CLASS A SHARES
                                         --------------------------------------------------------------------------------------
                                                                   YEAR ENDED JANUARY 31,
                                         --------------------------------------------------------------------------------------
                                          1987     1988     1989     1990     1991      1992     1993     1994     1995     1996
                                         ------   ------   ------   ------   ------    ------   ------   ------   ------   ------
<S>                                      <C>      <C>      <C>       <C>     <C>       <C>     <C>       <C>      <C>      <C>
PER SHARE DATA:
  Net asset value, 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....               .058     .058     .068      .082    .072      .053     .033     .027     .038     .052
                                         ------   ------   ------    ------  ------    ------   ------   ------   ------   -----
  DISTRIBUTIONS:
  Dividends from investment
    income-net....                       (.058)   (.058)   (.068)    (.082)  (.072)    (.053)   (.033)   (.027)   (.038)   (.052)
                                         ------   ------   ------    ------  ------    ------   ------   ------   ------   -----
  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
                                         ======   ======   ======    ======  ======    ======   =======  ======   ======    =====
TOTAL INVESTMENT RETURN....               5.91%    5.96%    6.99%     8.56%   7.42%     5.46%    3.36%    2.69%   3.90%     5.35%
RATIOS/SUPPLEMENTAL DATA:
  Ratio of expenses to average
  net assets...............               .92%      .83%     .87%      .87%    .86%      .82%     .82%     .81%    .83%      .84%
  Ratio of net investment income
  to average net assets....              5.61%     5.80%    6.74%     8.23%   7.14%     5.27%    3.28%    2.66%   3.82%     5.22%
  Net Assets, end of year
    (000's omitted)...          $286,77  $292,204  $263,130  $306,610  $408,817  $609,015  $725,419  $536,884  $513,345  $530,054
    

</TABLE>
<TABLE>
   

                                                                                                         CLASS B SHARES
                                                                                                         ---------------
                                                                                                          PERIOD ENDED
                                                                                                          JANUARY 31,
                                                                                                              1996(1)
                                                                                                         ---------------
<S>                                                                                                         <C>            <C>

PER SHARE DATA:
  Net asset value, beginning of period........................................................               $1.00
                                                                                                             ------
  INVESTMENT OPERATIONS:
  Investment income-net.......................................................................                .042
  DISTRIBUTIONS:
  Dividends from investment income -net.......................................................              (.042)
                                                                                                             ------
  Net asset value, end of period..............................................................              $1.00
                                                                                                            ======
  TOTAL INVESTMENT RETURN.....................................................................               5.14%(2)
  RATIOS/SUPPLEMENTAL DATA:
  Ratio of expenses to average net assets.....................................................               1.00%(2)
  Ratio of net investment income to average net assets........................................               5.01%(2)
  Decrease reflected in above expense ratios due to undertakings by The Dreyfus Corporation...                .10%(2)
  Net Assets, end of period (000's omitted)...................................................                $58
- -----------
(1)  From March 31, 1995 (commencement of initial offering) to January 31, 1996.
(2)  Annualized.
    
</TABLE>

        Page 4
                         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." Both yield
figures also take into account any applicable class expenses. As a result, at
any given time, the performance of Class B should be expected to be lower
than that of Class A. See "Annual Fund Operating Expenses."
        Yield information is useful in reviewing the Fund's performance, but
because yields will fluctuate, under certain conditions such information 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/Donoghue's Money Fund Report, MorningstarRegistration Mark, Inc.
and other industry publications.
                          DESCRIPTION OF THE FUND
   
GENERAL
    
   

        By this Prospectus, two classes of shares of the Fund are being
offered - Class A shares and Class B shares (each such class being referred
to as a "Class"). The Classes are identical, except for the services offered
to and expenses borne by each Class pursuant to separate plans adopted by the
Fund's Board. See "Service Plan and Distribution Plan" and "Shareholder
Services Plans." In addition, Class B shares are charged directly for
sub-accounting services provided by Service Agents at the annual rate of .05%
of the value of the average daily net assets of Class B. The sub-accounting
fee paid by Class B, together with amounts payable pursuant to the
Distribution Plan and Shareholder Services Plan, will cause Class B to have a
higher expense ratio and to pay lower dividends than Class A. You should
consult your Service Agent to determine which Class is offered by the Service
Agent.
    
   
INVESTMENT OBJECTIVE
    
   
        The Fund's investment objective is to provide you with as high a
level of current income as is consistent with the preservation of capital and
the maintenance of liquidity. It 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 invests 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.
    
   
MANAGEMENT POLICIES
    
   
        The Fund invests in securities issued or guaranteed as to principal
and interest by the U.S. Government or its agencies or instrumentalities, and
repurchase agreements in respect of such securities. See "Appendix -- Certain
Portfolio Securities."
    
   
        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
           Page 5
which are summarized as follows. In accordance with Rule 2a-7, the
Fund will 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. For further
information regarding the amortized cost method, 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.
    
   
INVESTMENT CONSIDERATIONS AND RISKS
    

        The Fund attempts to increase yields by trading to take advantage of
short-term market variations. This policy is expected to result in high
portfolio turnover but should not adversely affect the Fund since the Fund
usually does not pay brokerage commissions when it purchases U.S. Government
securities. The value of the portfolio securities held by the Fund will vary
inversely to changes in prevailing interest rates. Thus, if interest rates
have increased from the time a security was purchased, such security, if
sold, might be sold at a price less than its cost. Similarly, if interest
rates have declined from the time a security was purchased, such security, if
sold, might be sold at a price greater than its purchase cost. In either
instance, if the security was purchased at face value and held to maturity,
no gain or loss would be realized.
                          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 April 30, 1996, The Dreyfus Corporation managed
or administered approximately $79 billion in assets for more than 1.7 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 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., AFCO Credit Corporation and a
number of companies known as Mellon Financial Services Corporations. Through
its subsidiaries, including The Dreyfus Corporation, Mellon managed more than
$233 billion in assets as of December 31, 1995, including approximately $81
billion in proprietary mutual fund assets. As of December 31, 1995, Mellon,
through various subsidiaries, provided non-investment services, such as
custodial or administration services, for more than $786 billion in assets,
including approximately $60 billion in mutual fund assets.
    
   
        For the fiscal year ended January 31, 1996, 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 overall
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 as factors in the selection of
         Page 6
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 Service Agents
in respect of these services.
    
   
DISTRIBUTOR -- The Fund's distributor is Premier Mutual Fund Services, Inc.
(the "Distributor"), located at One Exchange Place, 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. First Interstate
Bank of California, 707 Wilshire Boulevard, Los Angeles, California 90017, is
the Fund's sub-custodian.
    
   
                         HOW TO BUY SHARES
    
   

        Fund shares may be purchased only by clients of certain financial
institutions (which may include banks), securities dealers ("Selected
Dealers"), and other industry professionals such as investment advisers,
accountants and estate planning firms (collectively, "Service Agents") that
have entered into service agreements with the Distributor. For shareholders
who purchase Fund shares from the Distributor, the Distributor will act as
Service Agent. Stock certificates are issued only upon your written request.
No certificates are issued for fractional shares. 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 Service Agent which 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 affiliates or subsidiaries who elect to
have a portion of their pay directly deposited into their Fund account, the
minimum initial investment is $50. The Fund reserves the right to vary
further the initial and subsequent investment minimum requirements at any
time. The Fund reserves the right to offer Fund shares without regard to
minimum purchase requirements to employees participating in certain qualified
and non-qualified employee benefit plans or other programs where
contributions or account information can be transmitted in a manner and form
acceptable to the Fund.
    

        You may purchase Fund shares by check or wire. Checks should be made
payable to "The Dreyfus Family of Funds" or, if for Dreyfus retirement plan
accounts, to "The Dreyfus Trust Company, Custodian."  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 indicating which Class of shares if being purchased. 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. For Dreyfus retirement
plan accounts, both initial and subsequent investments should be sent to The
Dreyfus Trust Company, Custodian, P.O. Box 6427, Providence, Rhode Island
02940-6427. Neither initial nor subsequent investments should be made by
third party check. Purchase orders may be delivered in person only to the
Dreyfus Financial Center located in the lobby of 200 Park Avenue, New York,
New York. THESE
       Page 7
ORDERS WILL BE FORWARDED TO THE FUND AND WILL BE PROCESSED ONLY UPON RECEIPT
THEREBY. Other purchase procedures may be in effect for clients of certain
Service Agents.
   

        Wire payments may be made either to The Bank of New York or to First
Interstate Bank of California 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 #8900052414/General
Government Securities Money Market Fund, Inc. _ Class A, or DDA
#8900251689/General Government Securities Money Market Fund, Inc._Class B; or
to First Interstate Bank of California, DDA #250939725/General Government
Securities Money Market Fund, Inc. _ Class A, or DDA #250340300/General
Government Securities Money Market Fund, Inc._Class B, 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.
    
   
        Fund shares also may be purchased through Dreyfus-AUTOMATIC Asset
BuilderRegistration Mark, the Government Direct Deposit Privilege or the
Payroll Savings Plan 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.
    

        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."
   

        Management understands that some Service Agents may impose certain
conditions on their clients which are different from those described in this
Prospectus and, to the extent permitted by applicable regulatory authority,
may charge their clients direct fees for Servicing (as defined under "Service
Plan and Distribution Plan_Service Plan"). These fees would be in addition to
any amounts which might be received under the Fund's Service Plan or
Distribution Plan. Service Agents may receive different levels of
compensation for selling different Classes of shares. You should consult your
Service Agent in this regard.
    

        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 in written or
telegraphic form, or by First Interstate Bank of California in telegraphic
form. 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.
   

        The Fund's net asset value per share is determined twice each day: as
of 12:00 Noon, New York time/9:00 a.m., California time, and as of the close
of trading on the floor of the New York Stock
        Page 8
Exchange (currently 4:00 p.m., New York time/1:00 p.m., California time), on
each day the New York Stock Exchange is open for business. Net asset value
per share of each Class is computed by dividing the value of the Fund's net
assets represented by such Class (i.e., the value of its assets less
liabilities) by the total number of shares of such Class 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, or received in Federal
Funds by 12:00 Noon, California time, by First Interstate Bank of California,
on a business day, 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, or received in Federal Funds after
12:00 Noon, California time, by First Interstate Bank of California, you will
begin to accrue dividends on the following business day.
        Qualified institutions may telephone orders for purchase of Fund
shares. A telephone order placed to the Distributor or its designee in New
York 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 such order is placed by 12:00 Noon, New York time,
and Federal Funds are received by the Transfer Agent by 4:00 p.m., New York
time, on that day. A telephone order placed to the Distributor or its
designee in California will become effective at the price determined at 1:00
p.m., California time, and the shares purchased will receive the dividend on
Fund shares declared on that day, if such order is placed by 12:00 Noon,
California time, and Federal Funds are received by First Interstate Bank of
California by 4:00 p.m., California time, on that day.
   

        The Distributor may pay dealers a fee of up to .5% of the amount
invested through such dealers in Fund shares by employees participating in
qualified or non-qualified employee benefit plans or other programs where (i)
the employers or affiliated employers maintaining such plans or programs have
a minimum of 250 employees eligible for participation in such plans or
programs, or (ii) such plan's or program's aggregate investment in the
Dreyfus Family of Funds or certain other products made available by the
Distributor to such plans or programs exceeds $1,000,000 ("Eligible Benefit
Plans"). Shares of funds in the Dreyfus Family of Funds then held by Eligible
Benefit Plans will be aggregated to determine the fee payable. The
Distributor reserves the right to cease paying these fees at any time. The
Distributor will pay such fees from its own funds, other than amounts
received from the Fund, including past profits or any other source available
to it.
    
   
        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").
    

                         SHAREHOLDER SERVICES
        The services and privileges described under this heading may not be
available to clients of certain Service Agents and some Service Agents may
impose certain conditions on their clients which are different from those
described in this Prospectus. You should consult your Service Agent in this
regard. In addition, use of the privileges noted below may require that the
proper forms and information be filed with and processed by the Transfer
Agent.
FUND EXCHANGES -- Clients of certain Service Agents 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, you
should consult your Service Agent or call 1-800-645-6561 to determine if it
is available and whether any conditions are imposed on its use.
       Page 9
   

        To request an exchange, you or your Service Agent acting on your
behalf 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 Fund 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 for an
existing account by written request, signed by all shareholders on the
account, or by a separate signed Shareholder Services Form, also available by
calling 1-800-645-6561. If you have established the Telephone Exchange
Privilege, you may telephone exchange instructions by calling 1-800-645-6561
or, if you are calling from overseas, call 516-794-5452. 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 and the dividend/capital gain
distribution option (except for 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 or your Service Agent must notify the Distributor. 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 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."
    
   

AUTO-EXCHANGE PRIVILEGE -- The 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 other funds in the Dreyfus
Family of Funds of which you are currently 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 canceled
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 an Auto-Exchange Authorization Form, please call toll free
1-800-645-6561. See "Dividends, Distributions and Taxes."
    

       Page 10
   

DREYFUS-AUTOMATIC ASSET BUILDERRegistration Mark -- Dreyfus-AUTOMATIC Asset
Builder 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.
At your option, the bank account designated by you will be debited in the
specified amount, and Fund shares will be purchased, once a month, on either
the first or fifteenth day, or twice a month, on both days. 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
Builder account, you must file an authorization form with the Transfer Agent.
You may obtain the necessary authorization form from your Service Agent or by
calling 1-800-645-6561. You may cancel your participation in this Privilege
or change the amount of your purchase at any time by mailing written
notification to The Dreyfus Family of Funds, P.O. Box 9671, Providence, Rhode
Island 02940-9671, or, if for Dreyfus retirement plan accounts, to The
Dreyfus Trust Company, Custodian, P.O. Box 6427, Providence, Rhode Island
02940-6427, 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.
    

GOVERNMENT DIRECT DEPOSIT PRIVILEGE -- The Government Direct Deposit
Privilege 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 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 from your Service Agent or 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. Further, the Fund may
terminate your participation upon 30 days' notice to you.
   

PAYROLL SAVINGS PLAN -- The 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 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
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.
    
   
DIVIDEND OPTIONS -- 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. Dividend
ACH permits you to transfer electronically dividends or dividends and capital
gain distributions, if any, from the Fund to a designated bank account. Only
an account maintained
      Page 11
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. 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 Dividend Sweep. The Fund may modify or terminate these privileges at any
time or charge a service fee. No such fee currently is contemplated. Shares
held under Keogh Plans or IRAs are not eligible for Dividend Sweep.
   

QUARTERLY DISTRIBUTION PLAN -- The Quarterly Distribution Plan permits you to
receive quarterly payments from the Fund consisting of proceeds from the
redemption of shares purchased for your account through the automatic
reinvestment of dividends declared on your account during the preceding
calendar quarter. You may open a Quarterly Distribution Plan by submitting a
request to the Transfer Agent. The Quarterly Distribution Plan may be ended
at any time by you, the Fund or the Transfer Agent. Shares for which
certificates have been issued must be presented before redemption under the
Quarterly Distribution Plan.
    

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
application for the Automatic Withdrawal Plan can be obtained 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.
   

RETIREMENT PLANS -- The Fund offers a variety of pension and profit-sharing
plans, including Keogh Plans, IRAs, SEP-IRAs and IRA "Rollover Accounts,"
401(k) Salary Reduction Plans and 403(b)(7) Plans. Plan support services also
are available. You can obtain details on the various plans by calling the
following numbers toll free: for Keogh Plans, please call 1-800-358-5566; for
IRAs and IRA "Rollover Accounts," please call 1-800-645-6561; or for
SEP-IRAs, 401(k) Salary Reduction Plans and 403(b)(7) Plans, please call
1-800-322-7880.
    
   


                            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, the Fund will redeem the shares at the
next determined net asset value.
   

        The Fund imposes no charges when shares are redeemed. Service Agents
may charge their clients a nominal 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.
    
   

        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 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 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, FOR A PERIOD
OF EIGHT BUSINESS
       Page 12
DAYS AFTER RECEIPT BY THE TRANSFER AGENT OF THE PURCHASE
CHECK 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 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 at its option 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 Fund shares by using the regular redemption procedure
through the Transfer Agent, or, 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, through the Check
Redemption Privilege, the Wire Redemption Privilege or the Telephone
Redemption Privilege. If you are a client of a Selected Dealer, you may
redeem Fund shares through the Selected Dealer. If you have given your Service
 Agent authority to instruct the Transfer Agent to redeem shares and to
credit the proceeds of such redemptions to a designated account at your
Service Agent, you may redeem shares only in this manner and in accordance
with the regular redemption procedure described below. If you wish to use the
other redemption methods described below, you must arrange with your Service
Agent for delivery of the required application(s) to the Transfer Agent.
Other redemption procedures may be in effect for clients of certain Service
Agents. The Fund makes available to certain large institutions the ability to
issue redemption instructions through compatible computer facilities. The
Fund 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 held
under Keogh Plans, IRAs or other retirement plans, and shares for which
certificates have been issued, are not eligible for the Check Redemption,
Wire Redemption or Telephone Redemption Privilege.
    
   
        You may redeem Fund shares by telephone if you have checked the
appropriate box on the Account Application or have filed a Shareholder
Services Form with the Transfer Agent. If you select a telephone redemption
privilege or telephone exchange privilege (which is granted automatically
unless you refuse it), you authorize the Transfer Agent to act on telephone
instructions from any person representing himself or herself to be you, or a
representative of your Service Agent, 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, or, if for Dreyfus retirement plan
accounts, to The Dreyfus Trust Company, Custodian, P.O. Box 6427, Providence,
Rhode Island 02940-6427. Redemption requests may be delivered in person only
to the
        Page 13
Dreyfus Financial Center located in the lobby of 200 Park Avenue, New
York, New York. THESE REQUESTS WILL BE FORWARDED TO THE FUND AND WILL BE
PROCESSED ONLY UPON RECEIPT THEREBY. 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 Medallion  Signature Program, the Securities Transfer Agents
Medallion Program ("STAMP"), and the Stock Exchanges Medallion Program. If
you have 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 due to 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. If you hold shares in a Dreyfus sponsored IRA account, you may
be permitted to make withdrawals from your IRA account using checks furnished
to you by The DreyfusTrust Company.
    
   
WIRE REDEMPTION PRIVILEGE -- You may request by wire or telephone 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. You also may direct that redemption proceeds be paid by
check (maximum $150,000 per day) made out to the owners of record and mailed
to your address. Redemption proceeds of less than $1,000 will be paid
automatically by check. 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.
    

REDEMPTION THROUGH A SELECTED DEALER -- If you are a customer of a Selected
Dealer, you may make redemption requests to your Selected Dealer. If the
Selected Dealer transmits the redemption request so that it is received by
the Transfer Agent by 12:00 Noon, New York time, or by the Los Angeles office
of the Distributor or its designee by 12:00 Noon, California time, on a
business day, the proceeds of the redemption ordinarily will be transmitted
in Federal Funds on the same day and the shares will not receive the dividend
declared on that day. If a redemption request is received by the Transfer
Agent after 12:00 Noon, New York time, or by the Los Angeles office of the
Distributor or its designee after 12:00 Noon, California time, the shares
will receive the dividend declared on that day and the proceeds of redemption
ordinarily will be transmitted in Federal Funds on the next business day. It
is the responsibility of the Selected Dealer to transmit a request so that it
is received in a timely manner. The proceeds of the redemption are credited
to your account with the Selected Dealer.
         Page 14
                      SERVICE PLAN AND DISTRIBUTION PLAN
   

SERVICE PLAN (CLASS A ONLY) -- Under the Service Plan, adopted pursuant to
Rule 12b-1 under the 1940 Act, the Fund directly bears, with respect to Class
A, the costs of preparing, printing and distributing prospectuses and
statements of additional information and of implementing and operating the
Service Plan. In addition, the Fund reimburses (a) the Distributor for
payments made for distributing the Class A shares and servicing shareholder
accounts ("Servicing") and (b) The Dreyfus Corporation, Dreyfus Service
Corporation, a wholly-owned subsidiary of The Dreyfus Corporation, and any
affiliate of either of them (collectively, "Dreyfus") for payments made for
Servicing, at an aggregate annual rate of up to .20 of 1% of the value of the
average daily net assets of Class A. Each of the Distributor and Dreyfus may
pay one or more Service Agents a fee in respect of Class A shares owned by
shareholders with whom the Service Agent has a Servicing relationship or for
whom the Service Agent is the dealer or holder of record. The schedule of
such fees and the basis upon which such fees will be paid shall be determined
from time to time by the Fund's Board. If a holder of Class A shares ceases
to be a client of a Service Agent, but continues to hold Class A shares,
Dreyfus will be permitted to act as a Service Agent in respect of such Fund
shareholders and receive payments under the Service Plan for Servicing. The
fees payable for Servicing are payable without regard to actual expenses
incurred.
    
   
DISTRIBUTION PLAN (CLASS B ONLY) -- Under the Distribution Plan, adopted
pursuant to Rule 12b-1 under the 1940 Act, the Fund directly bears, with
respect to Class B, the costs of preparing, printing and distributing
prospectuses and statements of additional information and of implementing and
operating the Distribution Plan. In addition, the Fund reimburses the
Distributor for payments made to third parties for distributing (within the
meaning of Rule 12b-1) Class B shares at an aggregate annual rate of up to
 .20 of 1% of the value of the average daily net assets of Class B.
    

                   SHAREHOLDER SERVICES PLANS
CLASS A -- The Fund has adopted a Shareholder Services Plan with respect to
Class A pursuant to which the Fund reimburses Dreyfus Service Corporation an
amount not to exceed an annual rate of .25 of 1% of the value of the average
daily net assets of Class A for certain allocated expenses of providing
personal services and/or maintaining shareholder accounts. At no time,
however, will the amount paid under this Plan, together with amounts
otherwise paid with respect to Class A under the Fund's Service Plan as a "
service fee" pursuant to Article III, Section 26, of the NASD Rules of Fair
Practice, exceed the maximum amount permitted to be paid under the NASD Rules
as a service fee. 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.
   

CLASS B -- The Fund has adopted a Shareholder Services Plan with respect to
Class B pursuant to which the Fund pays the Distributor for the provision of
certain services to the holders of Class B shares a fee at the annual rate of
 .25 of 1% of the value of the average daily net assets of Class B. 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 such shareholder accounts. Under the Shareholder Services Plan,
the Distributor may make payments to Service Agents in respect of these
services. The Distributor determines the amounts to be paid to Service Agents.
    

                     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 declared as dividends on the
preceding business day. Dividends usually are paid on the last calendar day
        Page 15
of each month and automatically are reinvested in additional Fund shares at
net asset value or, at your option, 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 Internal Revenue Code of 1986, as amended
(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. All expenses are
accrued daily and deducted before declaration of dividends to investors.
Dividends paid by each Class will be calculated at the same time and in the
same manner and will be of the same amount, except that the expenses
attributable solely to a Class will be borne exclusively by such Class. Class
B shares will receive lower per share dividends than Class A shares because
of the higher expenses borne by Class B. See "Annual Fund Operating
Expenses."
    

        Dividends derived from interest, 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 Fund shares.
Distributions from net realized long-term securities gains of the Fund, if
any, will be taxable as long-term capital gains for Federal income tax
purposes if you are a citizen or resident of the United States. The Code
provides that the net capital gains of an individual generally will not be
subject to Federal income tax at a rate in excess of 28%. Dividends and
distributions may be subject to state and local taxes.
        Dividends and distributions attributable to interest from direct
obligations of the United States and paid by the Fund to individuals
currently are not subject to tax in most states. Dividends and distributions
attributable to interest from other securities in which the Fund may invest
may be subject to state tax. The Fund intends to provide shareholders with a
statement which sets forth the percentage of dividends and distributions paid
by the Fund that is attributable to interest income from direct obligations
of the United States.
        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. No dividends will qualify for
the dividend received deduction allowable to certain U.S. corporations.
   

        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 dividends and
distributions from net realized securities gains of the Fund paid to
         Page 16
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 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 January 31, 1996 as a "regulated investment company" under
the Code. The Fund intends to continue to so qualify if such qualification is
in the best interests of its shareholders. Such qualification relieves the
Fund of any liability for Federal income tax to the extent its earnings are
distributed in accordance with 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 and local taxes.
                         GENERAL INFORMATION
        The Fund was incorporated under Maryland law on April 8, 1982, and
commenced operations on February 7, 1983. The Fund is authorized to issue 15
billion shares of Class A Common Stock and one billion shares of Class B
Common Stock, par value $.01 per share. The Fund's shares are classified into
two classes_Class A and Class B. Each share has one vote and shareholders
will vote in the aggregate and not by Class except as otherwise required by
law.
   

        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, pursuant to the Fund's By-Laws, 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 and the holders of at least 25% of such
shares may require the Fund to hold a special meeting of shareholders for any
other purpose. 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 special 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
confirmations and statements of account.
   

        Shareholder inquiries may be made to your Service Agent or by writing
to the Fund at 144 Glenn Curtiss Boulevard, Uniondale, New York 11556-0144,
or by calling toll free 1-800-242-8671. In New York City, call
1-718-895-1396; outside the U.S. and Canada, call 516-794-5452.
    

         Page 17
   

                                   APPENDIX
    
   
INVESTMENT TECHNIQUES
BORROWING -- The Fund may borrow money from banks for temporary or emergency
(not leveraging) purposes in an amount up to 15% of the value of its total
assets (including the amount borrowed) valued at the lesser or cost or
market, less liabilities (not including the amount borrowed) at the time the
borrowing is made. While borrowings exceed 5% of the value of the Fund's
total assets, the Fund will not make any additional investments.
    
   
CERTAIN PORTFOLIO SECURITIES
U.S. GOVERNMENT SECURITIES -- 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 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. While the U.S. Government currently 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.
    
   
REPURCHASE AGREEMENTS -- 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. 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. TheFund may enter into repurchase agreements with certain banks
or non-bank dealers.
    
   
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.
    
   
        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 18
[This Page Intentionally Left Blank]
           Page 19
General
Government Securities
Money Market Fund, Inc.

Prospectus
(LION LOGO)
Dreyfus


Copy Rights1996 Dreyfus Service Corporation
975p060396



            GENERAL GOVERNMENT SECURITIES MONEY MARKET FUND, INC.
                             CLASS A AND CLASS B
                                   PART B
                    (STATEMENT OF ADDITIONAL INFORMATION)
   

                                JUNE 3, 1996
    

   


     This Statement of Additional Information, which is not a prospectus,
supplements and should be read in conjunction with the current Prospectus
of General Government Securities Money Market Fund, Inc. (the "Fund"),
dated June 3, 1996, 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 1-718-895-1396
               Outside the U.S. and Canada--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-4
Management Agreement. . . . . . . . . . . . . . . . . . . . .B-7
Purchase of Shares. . . . . . . . . . . . . . . . . . . . . .B-9
Service Plan and Distribution Plan. . . . . . . . . . . . . .B-10
Shareholder Services Plans. . . . . . . . . . . . . . . . . .B-11
Redemption of Shares. . . . . . . . . . . . . . . . . . . . .B-12
Shareholder Services. . . . . . . . . . . . . . . . . . . . .B-14
Determination of Net Asset Value. . . . . . . . . . . . . . .B-18
Dividends, Distributions and Taxes. . . . . . . . . . . . . .B-19
Yield Information . . . . . . . . . . . . . . . . . . . . . .B-19
Portfolio Transactions. . . . . . . . . . . . . . . . . . . .B-20
Information About the Fund. . . . . . . . . . . . . . . . . .B-20
Transfer and Dividend Disbursing Agent, Custodian,
  Counsel and Independent Auditors. . . . . . . . . . . . . .B-20
Financial Statements. . . . . . . . . . . . . . . . . . . . .B-22
Report of Independent Auditors. . . . . . . . . . . . . . . .B-31
    



                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
   

     Repurchase Agreements.  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 the resale price.
    
   
     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.
    
   
Investment Restrictions
    
   
     The Fund has adopted investment restrictions numbered 1 through 10 as
fundamental policies which 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.
Investment restrictions numbered 11 and 12 are not fundamental policies and
may be changed by vote of a majority of the Fund's Board members at any
time.  The Fund may not:
    


     1.   Purchase common stocks, preferred stocks, warrants or other
equity securities, or purchase corporate bonds or debentures, state bonds,
municipal bonds or industrial revenue bonds.

     2.   Borrow money, except from banks for temporary or emergency (not
leveraging) purposes in an amount up to 15% of the value of the Fund's
total assets (including the amount borrowed) based on the lesser of cost or
market, less liabilities (not including the amount borrowed) at the time
the borrowing is made.  While borrowings exceed 5% of the value of the
Fund's total assets, the Fund will not make any additional investments.

     3.   Sell securities short or purchase securities on margin.

     4.   Write or purchase put or call options.

     5.   Underwrite the securities of other issuers.

     6.   Purchase or sell real estate, real estate investment trust
securities, commodities, or oil and gas interests.

     7.   Make loans to others (except through the purchase of debt
obligations referred to under "Description of the Fund" in the Prospectus).

     8.   Invest in companies for the purpose of exercising control.

     9.   Invest in securities of other investment companies, except as
they may be acquired as part of a merger, consolidation or acquisition of
assets.

     10.  Invest more than 25% of its assets in the securities of issuers
in any industry, provided that there shall be no limitation on investments
in obligations issued or guaranteed as to principal and interest by the
U.S. Government.

     11.  Pledge, mortgage, hypothecate or otherwise encumber its assets,
except to the extent necessary to secure permitted borrowings.

     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.

     If a percentage restriction is adhered to at the time of investment, a
later increase or decrease in percentage resulting from a change in values
or assets will not constitute a violation of such 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.  Each Board member who is deemed to be an
"interested person" of the Fund, as defined in the 1940 Act, is indicated
by an asterisk.
   

Board Members of the Fund
    
   
CLIFFORD L. ALEXANDER, JR., Board Member.  President of Alexander &
     Associates, Inc., a management consulting firm. From 1977 to 1981, Mr.
     Alexander served as Secretary of the Army and Chairman of the Board of
     the Panama Canal Company, and from 1975 to 1977, he was a member of
     the Washington, D.C. law firm of Verner, Liipfert, Bernhard, McPherson
     and Alexander.  He is a director of American Home Products
     Corporation, The Dun & Bradstreet Corporation, MCI Communications
     Corporation and Mutual of America Life Insurance Company.  He is 62
     years old and his address is 400 C Street, N.E., Washington, D.C.
     20002.
    
   
PEGGY C. DAVIS, Board Member.  Shad Professor of Law, New York
     University School of Law.  Professor Davis has been a member of the
     New York University law faculty since 1983.  Prior to that time, she
     served for three years as a judge in the courts of New York State; was
     engaged for eight years in the practice of law, working in both
     corporate and non-profit sectors; and served for two years as a
     criminal justice administrator in the government of the City of New
     York.  She writes and teaches in the fields of evidence,
     constitutional theory, family law, social sciences and the law, legal
     process and professional methodology and training.  She is 53 years
     old and her address is c/o New York University School of Law, 249
     Sullivan Street, New York, New York 10012.
    
   
*JOSEPH S. DiMARTINO, Chairman of the Board.  Since January 1995, Chairman
     of the Board of various funds in the Dreyfus Family of Funds.  For
     more than five years prior thereto, 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 also
     Chairman of the Board of Directors of Noel Group, Inc., a venture
     capital company; a trustee of Bucknell University; and a director of
     the Muscular Dystrophy Association, HealthPlan Services Corporation,
     Belding Heminway, Inc., a manufacturer of industrial threads,
     specialty yarns, home furnishings and fabrics, Curtis Industries,
     Inc., a national distributor of securities products, chemicals, and
     automotive and other hardware, and Staffing Resources, Inc.  He is 52
     years old and his address is 200 Park Avenue, New York, New York
     10166.
    
   
ERNEST KAFKA, Board Member.  A physician engaged in private practice
     specializing in the psychoanalysis of adults and adolescents.  Since
     1981, he has served as an Instructor at the New York Psychoanalytic
     Institute and, prior thereto, held other teaching positions.  He is
     Associate Clinical Professor of Psychiatry at Cornell Medical School.
     For more than the past five years, Dr. Kafka has held numerous
     administrative positions and has published many articles on subjects
     in the field of psychoanalysis.  He is 63 years old and his address is
     23 East 92nd Street, New York, New York 10128.
    
   
SAUL B. KLAMAN, Board Member.  Chairman and Chief Executive Officer of SBK
     Associates, which provides research and consulting services to
     financial institutions.  Dr. Klaman was President of the National
     Association of Mutual Savings Banks until November 1983, President of
     the National Council of Savings Institutions until June 1985, Vice
     Chairman of Golembe Associates and BEI Golembe, Inc. until 1989 and
     Chairman Emeritus of BEI Golembe, Inc. until November 1992.  He also
     served as an Economist to the Board of Governors of the Federal
     Reserve System and on several Presidential Commissions, and has held
     numerous consulting and advisory positions in the fields of economics
     and housing finance.  He is 76 years old and his address is 431-B
     Dedham Street, The Gables, Newton Center, Massachusetts 02159.
    
   
NATHAN LEVENTHAL, Board Member.  President of Lincoln Center for the
     Performing Arts, Inc.  Mr. Leventhal was Deputy Mayor for Operations
     of New York City from September 1979 until March 1984 and Commissioner
     of the Department of Housing Preservation and Development of New York
     City from February 1978 to September 1979.  Mr. Leventhal was an
     associate and then a member of the New York law firm of Poletti
     Freidin Prashker Feldman and Gartner from 1974 to 1978.  He was
     Commissioner of Rent and Housing Maintenance for New York City from
     1972 to 1973.  Mr. Leventhal also serves as Chairman of Citizens
     Union, an organization which strives to reform and modernize city and
     state government.  He is 53 years old and his address is 70 Lincoln
     Center Plaza, New York, New York 10023-6583.
    
   
     For so long as the Fund's plans described in the sections captioned
"Service Plan and Distribution Plan" and "Shareholder Services Plan" remain
in effect, the Board members of the Fund who are not "interested persons"
of the Fund, 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 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 January 31, 1996, and by all 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, 1995, were as follows:

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

Clifford L. Alexander, Jr.          $5,500              $ 94,386 (17)

Peggy C. Davis                      $5,500              $ 81,636 (15)

Joseph S. DiMartino                 $6,875              $448,618 (94)

Ernest Kafka                        $5,500              $ 81,136 (15)

Saul B. Klaman                      $5,500              $ 81,886 (15)

Nathan Leventhal                    $5,500              $ 81,636 (15)
________________________
*    Amount does not include reimbursed expenses for attending Board
     meetings, which amounted to $297 for all Board members as a group.
    

Officers of the Fund
   

MARIE E. CONNOLLY, President and Treasurer.  President, Chief Executive
     Officer and a director of the Distributor and an officer of other
     investment companies advised or administered by the Manager.  From
     December 1991 to July 1994, she was President and Chief Compliance
     Officer of Funds Distributor, Inc., the ultimate parent of which is Boston
     Institutional Group, Inc.  Prior to December 1991, she served as Vice
     President and Controller, and later as Senior Vice President, of The
     Boston Company Advisors, Inc.  She is 38 years old.
    
   
JOHN E. PELLETIER, Vice President and Secretary.  Senior Vice President and
     General Counsel of the Distributor and an officer of other investment
     companies advised or administered by the Manager.  From February 1992
     to July 1994, he served as Counsel for The Boston Company Advisors,
     Inc.  From August 1990 to February 1992, he was employed as an
     Associate at Ropes & Gray.  He is 31 years old.
    
   
ERIC B. FISCHMAN, Vice President and Assistant Secretary.  Associate
     General Counsel of the Distributor and an officer of other investment
     companies advised or administered by the Manager.  From September 1992
     to August 1994, he was an attorney with the Board of Governors of the
     Federal Reserve System.  He is 30 years old.
    
   
ELIZABETH A. BACHMAN, Vice President and Assistant Secretary.  Assistant
     Vice President of the Distributor and an officer of other investment
     companies advised or administered by the Manager.  She is 26 years
     old.
    
   
FREDERICK C. DEY, Vice President and Assistant Treasurer.  Senior Vice
     President of the Distributor and an officer of other investment
     companies advised or administered by the Manager.  From 1988 to
     August 1994, he was manager of the High Performance Fabric Division of
     Springs Industries Inc.  He is 34 years old.
    
   
JOSEPH S. TOWER, III, Assistant Treasurer.  Senior Vice President,
     Treasurer and Chief Financial Officer of the Distributor 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 33 years old.
    
   
JOHN J. PYBURN, Assistant Treasurer.  Assistant Treasurer of the
     Distributor and an officer of other investment companies advised or
     administered by the Manager.  From 1984 to July 1994, he was Assistant
     Vice President in the Mutual Fund Accounting Department of the
     Manager.  He is 60 years old.
    
   
MARGARET M. PARDO, Assistant Secretary.  Legal Assistant with the
     Distributor and an officer of other investment companies advised or
     administered by the Manager.  From June 1992 to April 1995, she was a
     Medical Coordination Officer at ORBIS International.  Prior to June
     1992, she worked as Program Coordinator at Physicians World
     Communications Group.  She is 27 years old.
    


     The address of each officer of the Fund is 200 Park Avenue, New York,
New York 10166.
   

     Board members and officers of the Fund, as a group, owned less than 1%
of the Fund's shares outstanding on May 6, 1996.
    



                            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 3, 1994.  The Board,
including a majority of the Board members who are not "interested persons"
of any party to the Agreement, last voted to renew the Agreement at a
meeting held on September 27, 1995.  The Agreement is terminable without
penalty, on not more than 60 days' notice, by the Fund's Board or by vote
of the holders of a majority of the Fund's shares, or, upon not less than
90 days' notice, 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:
Howard Stein, Chairman of the Board and Chief Executive Officer; W. Keith
Smith, Vice Chairman of the Board; Christopher M. Condron, President, 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; Philip L. Toia, Vice Chairman-Operations and
Administration and a director; William T. Sandalls, Jr., Senior Vice
President and Chief Financial Officer; Barbara E. Casey, Vice President-
Dreyfus Retirement Services; Elie M. Genadry, Vice President-Institutional
Sales; William F. Glavin, Jr., Vice President-Corporate Development; Mark
N. Jacobs, Vice President, General Counsel and Secretary; Patrice M.
Kozlowski, Vice President-Corporate Communications; Mary Beth Leibig, Vice
President-Human Resources; Jeffrey N. Nachman, Vice President-Mutual Fund
Accounting; Andrew S. Wasser, Vice President-Information Systems; Maurice
Bendrihem, Controller; Elvira Oslapas, Assistant Secretary; and Mandell L.
Berman, Frank V. Cahouet, Alvin E. Friedman, Lawrence M. Greene and Julian
M. Smerling, 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
Bernard W. Kiernan and Patricia A. Larkin.  The Manager also maintains a
research department with a professional staff of portfolio managers and
securities analysts who provide research services for the Fund as well as
for other funds advised by the Manager.  All purchases and sales are
reported for the Board's review at the meeting subsequent to such
transactions.
    
   
     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, charges of custodians, transfer and dividend disbursing
agents' fees, certain insurance premiums, industry association fees,
outside auditing and legal expenses, costs of maintaining the Fund's
existence, investor services (including, without limitations, telephone and
personnel expenses), cost of shareholder reports and 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.  The Fund bears certain
expenses in accordance with separate written plans and also bears certain
costs associated with implementing and operating such plans.  See "Service
Plan and Distribution Plan."
    
   
     Under the Agreement, the Fund pays 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 payments of dividends to investors.  For the fiscal years ended
January 31, 1994, 1995 and 1996, the management fees paid by the Fund
amounted to $3,167,232, $2,624,643 and $2,622,700, 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 1 1/2% of the
average value of the Fund's net assets for that fiscal year, the Fund may
deduct from the payment to be made to the Manager under the Agreement, or
the Manager will bear, such excess expense.  Such deduction or payment, if
any, will be estimated daily and reconciled and effected or paid, as the
case may be, on a monthly basis.  No such deduction or payment was required
for the fiscal year ended January 31, 1996.
    


     The aggregate of the fees paid 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.  In some
states, certain financial institutions effecting transactions in Fund
shares may be required to register as dealers pursuant to state law.
    
   
     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 ("Selected Dealer") and his order to purchase Fund shares is paid
for other than in Federal Funds, the Selected Dealer, 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 Selected Dealer will become effective on the day that the
order, including Federal Funds, is received by the Transfer Agent.
    


     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.


                     SERVICE PLAN AND DISTRIBUTION PLAN

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

     Rule 12b-1 (the "Rule") adopted by the Securities and Exchange
Commission under the 1940 Act provides, among other things, that an
investment company may bear expenses of distributing its shares only
pursuant to a plan adopted in accordance with the Rule.  The Fund's Board
has adopted such a plan with respect to Class A and Class B (each, a
"Plan").  Under each Plan, the Fund bears directly the costs of preparing,
printing and distributing prospectuses and statements of additional
information and of implementing and operating the Plan.  Under the Plan
adopted with respect to Class A (the "Service Plan"), the Fund reimburses
(a) the Distributor for payments made for distributing the Class A shares
and servicing shareholder accounts ("Servicing") and (b) the Manager,
Dreyfus Service Corporation and any affiliate of either of them
(collectively, "Dreyfus") for payments made for Servicing.  Each of the
Distributor and Dreyfus may pay one or more financial institutions,
Selected Dealers or other industry professionals (collectively, "Service
Agents") a fee in respect of Class A shares owned by shareholders with whom
the Service Agent has a Servicing relationship or for whom the Service
Agent is the dealer or holder of record.  Under the Plan adopted with
respect to Class B (the "Distribution Plan"), the Fund reimburses the
Distributor for payments made to third parties for distributing (within the
meaning of the Rule) Class B shares.  The Fund's Board believes that there
is a reasonable likelihood that each Plan will benefit the Fund and holders
of the relevant Class of shares.
    
   
     A quarterly report of the amounts expended under each Plan, and the
purposes for which such expenditures were incurred, must be made to the
Fund's Board for its review.  In addition, each Plan provides that it may
not be amended to increase materially the costs which the Fund may bear for
distribution pursuant to the Plan without shareholder approval of the
affected Class and that other material amendments of the Plan must be
approved by the 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 or in
any related agreements entered into in connection with such Plan, by vote
cast in person at a meeting called for the purpose of considering such
amendments.  Each 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.  Each Plan was last so approved at a meeting held on September
27, 1995.  Each 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 or in any of the
related agreements or by vote of a majority of the relevant Class of
shares.
    
   
     For the fiscal year ended January 31, 1996, the Distributor paid
$1,856,688 to Service Agents for Servicing, of which $1,048,994 was
reimbursed by the Fund pursuant to the Service Plan and the Manager
reimbursed the remainder.  In addition, for the fiscal year ended January
31, 1996, the Fund paid $25,084 for preparing, printing and distributing
prospectuses and statements of additional information and for implementing
and operating the Service Plan.
    
   
     For the period March 31, 1995 (effective date of the Distribution
Plan) through January 31, 1996, the Fund paid the Distributor $86 with
respect to Class B under the Distribution Plan.
    



                         SHAREHOLDER SERVICES PLANS

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

     The Fund has adopted a Shareholder Services Plan with respect to Class
A pursuant to which the Fund reimburses Dreyfus Service Corporation for
certain allocated expenses of providing personal services and/or
maintaining shareholder accounts.  The Fund also has adopted a Shareholder
Services Plan with respect to Class B pursuant to which the Fund pays the
Distributor for the provision of certain services to the holders of Class B
shares.  Under each Shareholder Services Plan, 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.  Under the Shareholder Services Plan for Class B, the
Distributor may make payments to Service Agents in respect of these
services.
    
   
     A quarterly report of the amounts expended under each Shareholder
Services Plan, and the purposes for which such expenditures were incurred,
must be made to the Fund's Board for its review.  In addition, each
Shareholder Services Plan provides that material amendments of the
Shareholder Services Plan 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 and have no direct or indirect financial interest in the
operation of the Shareholder Services Plan by vote cast in person at a
meeting called for the purpose of considering such amendments.  Each
Shareholder Services 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 Shareholder Services Plan.  Each Shareholder Services Plan was last
so approved on September 27, 1995.  Each Shareholder Services 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 Shareholder Services Plan.
    
   
     For the fiscal year ended January 31, 1996, the Fund was charged $229,788
pursuant to the Shareholder Services Plan with respect to Class A.
    
   
     For the period March 31, 1995 (effective date of the Shareholder
Services Plan for Class B) through January 31, 1996, the Fund was charged $108
pursuant to the Shareholder Services Plan with respect to Class B,
of which $43 was reimbursed by the Manager pursuant to an undertaking.
    
   

                            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.  An investor may indicate on the Account
Application, Shareholder Services Form or by later written request that the
Fund provide Redemption Checks ("Checks") drawn on the investor's Fund
account.  Checks will be sent only to the registered owner(s) of the
account and only to the address of record.  The Account Application,
Shareholder Services Form or later written request must be manually signed
by the registered owner(s).  Checks 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 shares in the
investor's 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 or telephone redemption
instructions from any person representing himself or herself to be the
investor or a representative of the investor's Service Agent, and
reasonably believed by the Transfer Agent to be genuine.  The Transfer
Agent's records of such instructions are binding.  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 12:00 Noon, New York time, 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 usually are 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."

     Stock Certificates; Signatures.  Any certificates 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 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.  Such commitment is
irrevocable without the prior approval of the Securities and Exchange
Commission.  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 the 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 would 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 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 numbers.

     To request an exchange, an investor, or the investor's Service Agent
acting on the investor's behalf, 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 from any
person representing himself or herself to be the investor or a
representative of the investor's Service Agent, and reasonably believed by
the Transfer Agent to be genuine.  Telephone exchanges may be subject to
the 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.
For Dreyfus-sponsored Keogh Plans, IRAs and IRAs set up under a Simplified
Employee Pension Plan ("SEP-IRAs") with only one participant, the minimum
initial investment is $750.  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 invested among
the funds in the Dreyfus Family of Funds.  To exchange shares held in
personal retirement plans, the shares exchanged must have a current value
of at least $100.
    


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

     Shareholder Services Forms and prospectuses of 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 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 the Automatic Withdrawal Plan.
    


     Dividend Sweep.  Dividend Sweep allows investors to invest on the
payment date their dividends or dividends and capital gain distributions,
if any, from 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.
   

     Corporate Pension/Profit-Sharing and Personal Retirement Plans.  The
Fund makes available to corporations a variety of prototype pension and
profit-sharing plans, including a 401(k) Salary Reduction Plan.  In
addition, the Fund makes available Keogh Plans, IRAs, including SEP-IRAs
and IRA "Rollover Accounts," and 403(b)(7) Plans.  Plan support services
also are available.  Investors can obtain details on the various plans by
calling the following numbers toll free:  for Keogh Plans, please call 1-
800-358-5566; for IRAs and IRA "Rollover Accounts," please call 1-800-645-
6561; or for SEP-IRAs, 401(k) Salary Reduction Plans and for 403(b)(7)
Plans, please call 1-800-322-7880.
    


     Investors who wish to purchase Fund shares in conjunction with a Keogh
Plan, a 403(b)(7) Plan or an IRA, including a SEP-IRA, may request from the
Distributor forms for adoption of such plans.

     The entity acting as a custodian for Keogh Plans, 403(b)(7) Plans or
IRAs may charge a fee, payment of which could require the liquidation of
shares.  All fees charged are described in the appropriate form.

     Shares may be purchased in connection with these plans only by direct
remittance to the entity which acts as custodian.  Such purchases will be
effective when payments received by the Transfer Agent are converted into
Federal Funds.  Purchases for these plans may not be made in advance of
receipt of Federal Funds.
   

     The minimum initial investment for corporate plans, salary reduction
plans, 403(b)(7) Plans and SEP-IRAs, with more than one participant, is
$2,500, with no minimum on subsequent purchases.  The minimum initial
investment for Dreyfus-sponsored Keogh Plans, IRAs, SEP-IRAs and 403(b)(7)
Plans, with only one participant, is normally $750, with no minimum on
subsequent purchases.  Individuals who open an IRA also may open a
non-working spousal IRA with a minimum investment of $250.
    
   
     The investor should read the prototype retirement plans and the
applicable form of custodial agreement for further details as to
eligibility, service fees and tax implications, and should consult a tax
adviser.
    


                      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
the purpose 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 may deem 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.  In such review,
investments for which market quotations are readily available will be
valued at the most recent bid price or yield equivalent for such securities
of comparable maturity, quality and type as obtained from one or more of
the major market makers for the securities to be valued.  Other investments
and assets will be valued at fair value as determined in good faith by the
Board.
    
   
     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 Fund's 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,
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 gains
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.


                              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 January 31, 1996, the Fund's yield was
4.90% for Class A and 4.72% for Class B and the Fund's effective yield was
5.02% for Class A and 4.83% for Class B.  The yield for Class B reflects
the reimbursement of certain expenses attributable to Class B, without
which the Fund's Class B yield and the effective yield for the seven-day
period ended January 31, 1996 would have been 4.62% and 4.73%,
respectively.  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.
    


     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.

                           PORTFOLIO TRANSACTIONS

     Portfolio securities ordinarily are purchased directly from the issuer
or from an underwriter or a market maker for the securities.  Usually no
brokerage commissions are paid by the Fund for such purchases.  Purchases
from underwriters of portfolio securities include a concession paid by the
issuer to the underwriter and the purchase price paid to market makers for
the securities may include the spread 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 and may
be selected based upon their sales of Fund shares.

     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.


                         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 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 period December 1, 1995 (effective
date of the transfer agency agreement) through January 31, 1996, the Fund
paid the Transfer Agent $11,715.
    
   

       The Bank of New York, 90 Washington Street, New York, New York 10286,
is the Fund's custodian.
    
   
       First Interstate Bank of California, 707 Wilshire Boulevard, Los Angeles,
California 90017, serves as a sub-custodian of the Fund's investments.
    
   
       The Transfer Agent, The Bank of New York and First Interstate Bank of
California have 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, 7 Hanover Square, New York, New York
10004-2696, 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.

<TABLE>
<CAPTION>
GENERAL GOVERNMENT SECURITIES MONEY MARKET FUND, INC.
STATEMENT OF INVESTMENTS                                                              JANUARY 31, 1996
                                                                          ANNUALIZED
                                                                           YIELD ON
                                                                             DATE OF                  PRINCIPAL
U.S. TREASURY BILLS-6.4%                                                    PURCHASE                   AMOUNT          VALUE
                                                                             ______                    _______        _______
    <S>                                                                      <C>                 <C>             <C>
    8/22/96
      (cost $33,918,461).......................................              5.80%               $  35,000,000   $ 33,918,461
                                                                                                                      =======
U.S. GOVERNMENT AGENCIES-90.1%
Federal Farm Credit Banks, Floating Rate Notes
    9/3/96.....................................................              5.88 (a)             $  50,000,000  $ 50,000,000
    9/16/96....................................................              5.68 (a)                25,000,000    24,998,274
    11/7/96....................................................              5.58 (a)                15,000,000    14,988,931
    7/25/97....................................................              5.58 (a)                15,000,000    14,991,518
    9/15/97....................................................              5.63 (a)                15,000,000    14,988,618
Federal Home Loan Banks, Discount Notes
    2/1/96.....................................................              5.75                    30,000,000    30,000,000
    3/22/96....................................................              6.50                    15,000,000    14,872,708
    11/7/96....................................................              5.46                    15,000,000    14,997,753
    11/20/96...................................................              5.47                    10,000,000    9,990,484
Federal Home Loan Banks, Floating Rate Notes
    5/6/96.....................................................              5.82 (a)                20,000,000    19,997,817
    1/26/98....................................................              5.74 (a)                4,000,000      4,007,073
Federal National Mortgage Association, Discount Notes
    4/18/96....................................................              5.24                    15,140,000    14,972,257
    4/19/96....................................................              5.77                    25,000,000    24,701,542
    7/12/96....................................................              5.11                    25,000,000    24,438,625
    9/18/96....................................................              5.31                    20,000,000    19,347,056
Federal National Mortgage Association, Floating Rate Notes
    6/3/96.....................................................              5.67 (a)                15,000,000    14,997,817
    10/4/96....................................................              5.95 (a)                25,000,000    25,000,000
    12/16/96...................................................              5.56 (a)                10,000,000    9,991,533
    1/13/97....................................................              5.68 (a)                15,000,000    15,000,000
    6/20/97....................................................              5.71 (a)                20,000,000    19,997,420
    7/25/97....................................................              5.62 (a)                20,000,000    20,000,000
    8/18/97....................................................              5.63 (a)                30,000,000    29,993,056
    1/21/98....................................................              5.61 (a)                10,000,000    9,989,827
Student Loan Marketing Association, Floating Rate Notes
    3/20/96....................................................              5.42 (b)                17,500,000    17,500,000
    12/20/96...................................................              5.28 (b)                18,000,000    17,999,996
                                                                                                                      _______
TOTAL U.S. GOVERNMENT AGENCIES (cost $477,762,305).............                                                  $477,762,305
                                                                                                                      =======

GENERAL GOVERNMENT SECURITIES MONEY MARKET FUND, INC.
STATEMENT OF INVESTMENTS (CONTINUED)                                                     JANUARY 31, 1996
                                                                             ANNUALIZED
                                                                             YIELD ON
                                                                             DATE OF                  PRINCIPAL
REPURCHASE AGREEMENTS-3.1%                                                   PURCHASE                   AMOUNT        VALUE
                                                                             ______                     _______       _______

First Interstate Bank of California
    dated 1/31/96, due 2/1/96 in the amount of
    $1,789,273 (fully collateralized by
    $1,771,000 U.S. Treasury Notes 7.375%,
    due 5/15/96, value $1,810,416).............................              5.50%               $    1,789,000  $  1,789,000
Lehman Government Securities, Inc.
    dated 1/31/96, due 2/1/96 in the amount of
    $10,001,639 (fully collateralized by
    $10,145,000 U.S. Treasury Notes 6.125%,
    due 7/31/96, value $10,197,432)............................              5.90                    10,000,000    10,000,000
SBC Capital Markets
    dated 1/31/96, due 2/1/96 in the amount of
    $4,500,688 (fully collateralized by
    $4,740,000 U.S. Treasury Bills,
    due 9/19/96, value $4,569,760).............................              5.50                    4,500,000      4,500,000
                                                                                                                      ______-
TOTAL REPURCHASE AGREEMENTS (cost $16,289,000).................                                                  $ 16,289,000
                                                                                                                      =======
TOTAL INVESTMENTS (cost $527,969,766)..............            99.6%                                             $527,969,766
                                                               ====                                                   =======
CASH AND RECEIVABLES (NET).........................      .      .4%                                              $  2,142,416
                                                               ====                                                   =======
NET ASSETS.........................................          100.0%                                              $530,112,182
                                                               ====                                                   =======

NOTES TO STATEMENT OF INVESTMENTS:
(a)    The interest rate, which will change periodically, is based on the
bank's prime rate.
(b)    Variable interest rate-subject to change approximately every 7 to 30
days.





See notes to financial statements.
</TABLE>
<TABLE>
<CAPTION>
GENERAL GOVERNMENT SECURITIES MONEY MARKET FUND, INC.
STATEMENT OF ASSETS AND LIABILITIES                                                     JANUARY 31, 1996
<S>                                                                                                <C>         <C>
ASSETS:
    Investments in securities, at value-Note 1(a,b).........................                                   $527,969,766
    Interest receivable.....................................................                                      2,706,553
    Prepaid expenses and other assets.......................................                                         60,671
                                                                                                                    _______
                                                                                                                530,736,990
LIABILITIES:
    Due to The Dreyfus Corporation and subsidiaries.........................                       $255,342
    Due to Distributor......................................................                         88,111
    Due to Custodian........................................................                         70,209
    Accrued expenses and other liabilities..................................                         211,146         624,808
                                                                                                      ______           _____
NET ASSETS..................................................................                                    $530,112,182
                                                                                                                     =======
REPRESENTED BY:
    Paid-in capital.........................................................                                    $530,126,596
    Accumulated net realized (loss) on investments..........................                                         (14,414)
                                                                                                                     _______
NET ASSETS at value.........................................................                                    $530,112,182
                                                                                                                     =======
Shares of Common Stock Outstanding:
    Class A Shares
      (15 billion shares of $.01 par value shares authorized)...............                                     530,068,468
                                                                                                                     =======
    Class B Shares
      (1 billion shares of $.01 par value shares authorized)................                                         58,128
                                                                                                                     =======
NET ASSET VALUE per share:
    Class A Shares
      ($530,054,054 / 530,068,468 shares)...................................                                         $1.00
                                                                                                                     =======
    Class B Shares
      ($58,128 / 58,128 shares).............................................                                         $1.00
                                                                                                                     =======







See notes to financial statements.
</TABLE>
<TABLE>
<CAPTION>
GENERAL GOVERNMENT SECURITIES MONEY MARKET FUND, INC.
STATEMENT OF OPERATIONS                                                                  YEAR ENDED JANUARY 31, 1996
<S>                                                                                              <C>             <C>
INVESTMENT INCOME:
    INTEREST INCOME.........................................................                                     $31,797,634
    EXPENSES:
      Management fee-Note 2(a)..............................................                     $2,622,700
      Distribution fees (Class A & B Shares)-Note 2(b)......................                       1,049,080
      Shareholder servicing costs-Note 2(c).................................                         371,882
      Custodian fees........................................................                         134,955
      Registration fees.....................................................                          95,108
      Professional fees.....................................................                          56,602
      Prospectus and shareholders' reports..................................                          36,368
      Directors' fees and expenses-Note 2(d)................................                          33,543
      Miscellaneous.........................................................                           5,157
                                                                                                       _____
          TOTAL EXPENSES....................................................                       4,405,395
      Less-reduction in shareholder servicing costs
          due to undertaking-Note 2(c)......................................                              43
                                                                                                       _____
          NET EXPENSES......................................................                                         4,405,352
                                                                                                                        ______
INVESTMENT INCOME-NET.......................................................                                        27,392,282
NET REALIZED (LOSS) ON INVESTMENTS-Note 1(b)................................                                            (9,720)
                                                                                                                        ______
NET INCREASE IN NET ASSETS RESULTING FROM OPERATIONS........................                                       $27,382,562
                                                                                                                       =======




See notes to financial statements.
</TABLE>
<TABLE>
<CAPTION>
GENERAL GOVERNMENT SECURITIES MONEY MARKET FUND, INC.
STATEMENT OF CHANGES IN NET ASSETS
                                                                                                     YEAR ENDED JANUARY 31,
                                                                                    ______________________________________
                                                                                           1995                        1996
                                                                                         ________                      ________
<S>                                                                             <C>                           <C>
OPERATIONS:
    Investment income-net................................................       $      20,068,028             $      27,392,282
    Net realized (loss) on investments...................................                  (4,571)                       (9,720)
                                                                                         ________                      ________
          NET INCREASE IN NET ASSETS RESULTING FROM OPERATIONS...........              20,063,457                    27,382,562
                                                                                         ________                      ________
DIVIDENDS TO SHAREHOLDERS FROM;
    Investment income-net:
      Class A shares.....................................................              (20,068,028)                  (27,390,125)
      Class B shares.....................................................                   __                            (2,157)
                                                                                         ________                      ________
          TOTAL DIVIDENDS................................................              (20,068,028)                  (27,392,282)
                                                                                         ________                      ________
CAPITAL STOCK TRANSACTIONS ($1.00 per share):
    Net proceeds from shares sold:
      Class A shares.....................................................             4,356,251,849               4,619,394,913
      Class B shares.....................................................                   __                           97,286
    Dividends reinvested:
      Class A shares.....................................................                19,433,620                  26,433,785
      Class B shares.....................................................                    __                           2,087
    Cost of shares redeemed:
      Class A shares.....................................................            (4,399,218,939)             (4,629,110,398)
      Class B shares.....................................................                    __                         (41,245)
                                                                                         ________                      ________
          INCREASE (DECREASE) IN NET ASSETS FROM
            CAPITAL STOCK TRANSACTIONS...................................              (23,533,470)                  16,776,428
                                                                                         ________                      ________
            TOTAL INCREASE (DECREASE) IN NET ASSETS......................              (23,538,041)                  16,766,708
NET ASSETS:
    Beginning of year....................................................              536,883,515                  513,345,474
                                                                                         ________                      ________
    End of year..........................................................          $    513,345,474                $530,112,182
                                                                                         ========                      ========




See notes to financial statements.
</TABLE>

GENERAL GOVERNMENT SECURITIES MONEY MARKET FUND, INC.
FINANCIAL HIGHLIGHTS

Reference is made to page 4 of the Fund's Prospectus dated
June 3, 1996.


See notes to financial statements.

GENERAL GOVERNMENT SECURITIES MONEY MARKET FUND, INC.
NOTES TO FINANCIAL STATEMENTS
NOTE 1-SIGNIFICANT ACCOUNTING POLICIES:
    General Government Securities Money Market Fund, Inc. (the "Fund") is
registered under the Investment Company Act of 1940 ("Act") as a diversified
open-end management investment company. The Fund's investment objective is to
provide investors with as high a level of current income as is consistent
with the preservation of capital and the maintenance of liquidity. The
Dreyfus Corporation ("Manager") serves as the Fund's investment adviser. The
Manager is a direct subsidiary of Mellon Bank, N.A.
    Premier Mutual Fund Services, Inc. (the "Distributor") acts as the
distributor of the Fund's shares, which are sold to the public without a
sales load. On May 26, 1994, the Fund's Board of Directors approved an
amendment to the Fund's Charter to provide for the issuance of additional
shares of the Fund. The amendment was approved by Fund shareholders on August
3, 1994. Pursuant to the amendment, the Fund's existing authorized shares
were classified as Class A shares and one billion newly authorized shares of
the Common Stock of the Fund, par value $.01 per share, were classified as
Class B shares. The Fund began offering both Class A and Class B shares on
March 31, 1995. Class A shares and Class B shares are identical except for
the services offered to and the expenses borne by each class and certain
voting rights. Class A shares are subject to a Service Plan adopted pursuant
to Rule 12b-1 under the Act, Class B shares are subject to a Distribution
Plan adopted pursuant to Rule 12b-1 under the Act and, in addition, Class B
shares are charged directly for sub-accounting services provided by service
agents at an annual rate of .05% of the value of the average daily net assets
of Class B shares.
    It is the Fund's policy to maintain a continuous net asset value per
share of $1.00; the Fund has adopted certain investment, portfolio valuation
and dividend and distribution policies to enable it to do so. There is no
assurance, however, that the Fund will be able to maintain a stable net asset
value of $1.00.
    (A) PORTFOLIO VALUATION: Investments are valued at amortized cost, which
has been determined by the Fund's Board of Directors to represent the fair
value of the Fund's investments.
    (B) SECURITIES TRANSACTIONS AND INVESTMENT INCOME: Securities
transactions are recorded on a trade date basis. Realized gain and loss from
securities transactions are recorded on the identified cost basis. Interest
income is recognized on the accrual basis. Cost of investments represents
amortized cost.
    The Fund may enter into repurchase agreements with financial
institutions, deemed to be creditworthy by the Manager, subject to the
seller's agreement to repurchase and the Fund's agreement to resell such
securities at a mutually agreed upon price. Securities purchased subject to
repurchase agreements are deposited with the Fund's custodians and, pursuant
to the terms of the repurchase agreement, must have an aggregate market value
greater than or equal to the repurchase price plus accrued interest at all
times. If the value of the underlying securities falls below the value of the
repurchase price plus accrued interest, the Fund will require the seller to
deposit additional collateral by the next business day. If the request for
additional collateral is not met, or the seller defaults on its repurchase
obligation, the Fund maintains the right to sell the underlying securities at
market value and may claim any resulting loss against the seller.

GENERAL GOVERNMENT SECURITIES MONEY MARKET FUND, INC.
NOTES TO FINANCIAL STATEMENTS (CONTINUED)

    (C) DIVIDENDS TO SHAREHOLDERS: It is the policy of the Fund to declare
dividends from investment income-net on each business day. Such dividends are
paid monthly. Dividends from net realized capital gain, if any, are normally
declared and paid annually, but the Fund may make distributions on a more
frequent basis to comply with the distribution requirements of the Internal
Revenue Code. To the extent that net realized capital gain can be offset by
capital loss carryovers, it is the policy of the Fund not to distribute such
gain.
    (D) FEDERAL INCOME TAXES: It is the policy of the Fund to continue to
qualify as a regulated investment company, if such qualification is in the
best interests of its shareholders, by complying with the applicable
provisions of the Internal Revenue Code, and to make distributions of taxable
income sufficient to relieve it from substantially all Federal income and
excise taxes.
    The Fund has an unused capital loss carryover of approximately $20,000
available for Federal income tax purposes to be applied against future net
securities profits, if any, realized subsequent to January 31, 1996. If not
applied, the carryover expires in fiscal 2004.
    At January 31, 1996, the cost of investments for Federal income tax
purposes was substantially the same as the cost for financial reporting
purposes (see the Statement of Investments).
NOTE 2-MANAGEMENT FEE AND OTHER TRANSACTIONS WITH AFFILIATES:
    (A) Pursuant to a management agreement ("Agreement") with the Manager,
the management fee is computed at the annual rate of .50 of 1% of the average
daily value of the Fund's net assets and is payable monthly. The Agreement
provides for an expense reimbursement from the Manager should the Fund's
aggregate expenses, exclusive of taxes, brokerage, interest and extraordinary
expenses, exceed 1 1\2% of the average value of the Fund's net assets for any
full fiscal year. There was no expense reimbursement for the year ended
January 31, 1996, pursuant to the Agreement.
    Effective December 1, 1995, the Fund compensates Dreyfus Transfer, Inc.,
a wholly-owned subsidiary of the Manager, under a transfer agency agreement
for providing personnel and facilities to perform transfer agency services
for the Fund. Such compensation amounted to $11,715 for the period from
December 1, 1995 through January 31, 1996.
    (B) Under the Service Plan (the "Plan") with respect to Class A shares
only, adopted pursuant to Rule 12b-1 under the Act, the Fund directly bears
the costs of preparing, printing and distributing prospectuses and statements
of additional information and implementing and of operating the Plan. In
addition, the Fund reimburses (a) the Distributor for payments made for
distributing Class A shares and servicing shareholder accounts ("Servicing")
and (b) the Manager, Dreyfus Service Corporation, a wholly-owned subsidiary
of the Manager, and their affiliates (collectively "Dreyfus") for payments
made for Servicing, at an aggregate annual rate of up to .20 of 1% of the
value of the Fund's average daily net assets of Class A. Both the Distributor
and Dreyfus may pay Service Agents (a securities dealer, financial
institution or other industry professional) a fee in respect of Class A
shares owned by shareholders with whom the Service Agent has a Servicing
relationship or for whom the Service Agent is the dealer or
GENERAL GOVERNMENT SECURITIES MONEY MARKET FUND, INC.
NOTES TO FINANCIAL STATEMENTS (CONTINUED)
holder of record. Both the Distributor and Dreyfus determine the amounts to
be paid to Service Agents to which it will make payments and the basis on
which such payments are made. During the year ended January 31, 1996,
$1,048,994 was charged to the Fund pursuant to the Plan.
    Under the Distribution Plan with respect to Class B shares ("Class B
Distribution Plan"), adopted pursuant to Rule 12b-1 under the Act, effective
March 31, 1995, the Fund directly bears the costs of preparing, printing and
distributing prospectuses and statements of additional information and of
implementing and operating the Class B Distribution Plan. In addition, the
Fund reimburses the Distributor for payments made to third parties for
distributing Class B shares at an aggregate annual rate of up to .20 of 1% of
the value of the average daily net assets of Class B. For the period March
31, 1995 through January 31, 1996, $86 was charged to the Fund pursuant to
the Class B Distribution Plan.
    (C) Under the Fund's Shareholder Services Plan with respect to Class A
("Class A Shareholder Services Plan"), the Fund reimburses Dreyfus Service
Corporation an amount not to exceed an annual rate of .25 of 1% of the value
of the Fund's average daily net assets of Class A 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. During the year ended January 31, 1996,
the Fund was charged an aggregate of $229,788 pursuant to the Class A
Shareholder Services Plan.
    Under the Fund's Shareholder Services Plan with respect to Class B
("Class B Shareholder Services Plan"), effective March 31, 1995, the Fund
pays the Distributor for the provision of certain services to the holders of
Class B shares a fee at an annual rate of .25 of 1% of the value of the
average daily net assets of Class B. 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.
The Distributor may make payments to Service Agents in respect of these
services.  The Distributor determines the amounts to be paid to Service Agents.
    The Manager has undertaken, through January 31, 1997, that if the
aggregate expenses of Class B of the Fund (excluding certain expenses as
described above) exceed 1% of the value of the average daily net assets of
Class B, the Manager will reimburse the expenses of the Fund under the Class
B Shareholder Services Plan to the extent of any excess expense and up to the
full fee payable under the Class B Shareholder Services Plan. For the period
March 31, 1995 through January 31, 1996, $108 was charged to the Fund
pursuant to the Class B Shareholder Services Plan, of which $43 was
reimbursed by the Manager.
    (D) Each director who is not an "affiliated person" as defined in the Act
receives from the Fund an annual fee of $2,500 and an attendance fee of $500
per meeting. The Chairman of the Board receives an additional 25% of such
compensation.


GENERAL GOVERNMENT SECURITIES MONEY MARKET FUND, INC.
REPORT OF ERNST & YOUNG LLP, INDEPENDENT AUDITORS
SHAREHOLDERS AND BOARD OF DIRECTORS
GENERAL GOVERNMENT SECURITIES MONEY MARKET FUND, INC.
    We have audited the accompanying statement of assets and liabilities of
General Government Securities Money Market Fund, Inc., including the
statement of investments, as of January 31, 1996, and the related statement
of operations for the year then ended, the statement of changes in net assets
for each of the two years in the period then ended, and financial highlights
for each of the years indicated therein. These financial statements and
financial highlights are the responsibility of the Fund's management. Our
responsibility is to express an opinion on these financial statements and
financial highlights based on our audits.
    We conducted our audits in accordance with generally accepted auditing
standards. Those standards require that we plan and perform the audit to
obtain reasonable assurance about whether the financial statements and
financial highlights are free of material misstatement. An audit includes
examining, on a test basis, evidence supporting the amounts and disclosures
in the financial statements. Our procedures included confirmation of
securities owned as of January 31, 1996 by correspondence with the custodians
and others. An audit also includes assessing the accounting principles used
and significant estimates made by management, as well as evaluating the
overall financial statement presentation. We believe that our audits provide
a reasonable basis for our opinion.
    In our opinion, the financial statements and financial highlights
referred to above present fairly, in all material respects, the financial
position of General Government Securities Money Market Fund, Inc., at January
31, 1996, the results of its operations for the year then ended, the changes
in its net assets for each of the two years in the period then ended, and the
financial highlights for each of the indicated years, in conformity with
generally accepted accounting principles.

                              [Ernst and Young LLP signature logo]

New York, New York
March 6, 1996




             General Government Securities 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 the ten years ended
                     January 31, 1996 for Class A and for the period from
                     March 31, 1995 through January 31, 1996 for Class B.
    

                Included in Part B of the Registration Statement:
   

                     Statement of Investments--January 31, 1996.
    
   
                     Statement of Assets and Liabilities--January 31, 1996.
    
   
                     Statement of Operations--year ended January 31, 1996.
    
   
                     Statement of Changes in Net Assets--for each of the
                     years ended January 31, 1995 and 1996.
    


                     Notes to Financial Statements.
   

                     Report of Ernst & Young LLP, Independent Auditors, dated
                     March 6, 1996.
    






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 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 included
in Part B of the Registration Statement.


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

  (b)      Exhibits:
   

  (1)(a)   Registrant's Articles of Incorporation are incorporated by
           reference to Exhibit (1)(a) of Post-Effective Amendment No. 18 to
           the Registration Statement on Form N-1A, filed on March 29, 1995.
    
   

  (1)(b)   Registrant's Articles of Amendment are incorporated by reference
           to Exhibit (1)(b) of Post-Effective Amendment No. 18 to the
           Registration Statement on Form N-1A, filed on March 29, 1995.
    
   

  (1)(c)   Registrant's Articles Supplementary are incorporated by reference
           to Exhibit (1)(c) of Post-Effective Amendment No. 18 to the
           Registration Statement on Form N-1A, filed on March 29, 1995.
    
   
  (2)      Registrant's By-Laws, as amended are incorporated by reference to
           Exhibit (2) of Post-Effective Amendment No. 18 to the Registration
           Statement on Form N-1A, filed on March 29, 1995.
    
   
  (5)      Management Agreement is incorporated by reference to Exhibit (5)
           of Post-Effective Amendment No. 18 to the Registration Statement
           on Form N-1A, filed on March 29, 1995.
    
   
  (6)(a)   Distribution Agreement is incorporated by reference to Exhibit
           (6)(a) of Post-Effective Amendment No. 18 to the Registration
           Statement on Form N-1A, filed on March 29, 1995.
    
   
  (6)(b)   Forms of Service Agreement are incorporated by reference to
           Exhibit (6)(b) of Post-Effective Amendment No. 18 to the
           Registration Statement on Form N-1A, filed on March 29, 1995.
    
   
  (8)(a)   Amended and Restated Custody Agreement is incorporated by
           reference to Exhibit (8)(a) of Post-Effective Amendment No. 18 to
           the Registration Statement on Form N-1A, filed on March 29, 1995.
    


  (9)(a)   Shareholder Services Plan (Class A) is incorporated by reference
           to Exhibit 8(b) of Post-Effective Amendment No. 17 to the
           Registration Statement on Form N-1A, filed on January 30, 1995.

  (9)(b)   Shareholder Services Plan (Class B) is incorporated by reference
           to Exhibit 9(b) of Post-Effective Amendment No. 17 to the
           Registration Statement on Form N-1A, filed on January 30, 1995.
   

  (10)     Opinion and Consent of Registrant's counsel is incorporated by
           reference to Exhibit (10) of Post-Effective Amendment No. 18 to
           the Registration Statement on Form N-1A, filed on March 29, 1995.
    

  (11)     Consent of Independent Auditors.

  (15)(a)  Service Plan (Class A) is incorporated by reference to Exhibit
           (15)(a) of Post-Effective Amendment No. 17 to the Registration
           Statement on Form N-1A, filed on January 30, 1995.

  (15)(b)  Distribution Plan (Class B) is incorporated by reference to
           Exhibit (15)(b) of Post-Effective Amendment No. 17 to the
           Registration Statement on Form N-1A, filed on January 30, 1995.

  (16)     Schedules of Computation of Performance Data is incorporated by
           reference to Exhibit (16) of Post-Effective Amendment No. 16 to
           the Registration Statement on Form N-1A, effective May 18, 1994.
   

  (17)     Financial Data Schedule.
    


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

           Other Exhibits
           ______________
   

                (a)  Powers of Attorney of the Directors and officers are
                     incorporated by reference to Other Exhibits (6)(a) of
                     Post Effective Amendment No. 18 to the Registration
                     Statement on Form N-1A, filed on March 29, 1995.
    
   

                (b)  Certificate of Secretary is incorporated by reference to
                     Other Exhibits (6)(a) of Post Effective Amendment No. 18
                     to the Registration Statement on Form N-1A, filed on
                     March 29, 1995.
    

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 May 6, 1996
         ______________                  __________________________
    

         Common Stock
         (Par value $.01)
   

         Class A                             3,840
         Class B                                13
    

Item 27.    Indemnification
_______     _______________
   

            Reference is made to Article SEVENTH of the Registrant's
Articles of Incorporation which is incorporated by reference to Exhibit
(1)(a) to Post-Effective Amendment No. 18 to the Fund Registration Statement
on Form 1-1A, filed March 29, 1995, and to Section 2-418 of the Maryland
General Corporation Law.  The application of these provisions is limited by
Article VIII of the Registrant's By-Laws, as amended, which are incorporated
by reference to Exhibit (2) to Post-Effective Amendment No. 18 to the Fund's
Registration Statement on Form N-1A filed March 29, 1996 and by the
following undertaking set forth in the rules promulgated by the Securities
and Exchange Commission:
    
   
            Insofar as indemnification for liabilities arising
            under the Securities Act of 1933 may be permitted to, directors,
            officers and controlling persons of the registrant pursuant to the
            foregoing provisions, or otherwise, the registrant has been advised
            that in the opinion of the Securities and Exchange Commission such
            indemnification is against public policy as expressed in such Act
            and is, therefore, unenforceable.  In the event that a claim for
            indemnification against such liabilities (other than the payment by
            the registrant of expenses incurred or paid by a director, officer
            or controlling person of the registrant in the successful defense
            of any action, suit or proceeding) is asserted by such director,
            officer or controlling person in connection with the securities
            being registered, the registrant will, unless in the opinion of its
            counsel the matter has been settled by controlling precedent,
            submit to a court of appropriate jurisdiction the questions
            whether such indemnification by it is against public policy as
            expressed in such Act and will be governed by the final
            adjudication of such issue.
    
   


            Reference is also made to the Distribution Agreement which is
            incorporated by reference to Exhibit (6)(a) of Post Effective
            Amendment No. 18 to the Registration Statement on Form N-1A,
            filed on March 29, 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 and manager 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 a registered broker-dealer 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
_________________             ________________

MANDELL L. BERMAN             Real estate consultant and private investor
Director                           29100 Northwestern Highway, Suite 370
                                   Southfield, Michigan 48034;
                              Past Chairman of the Board of Trustees:
                                   Skillman Foundation;
                              Member of The Board of Vintners Intl.

FRANK V. CAHOUET              Chairman of the Board, President and
Director                      Chief Executive Officer:
                                   Mellon Bank Corporation****;
                                   Mellon Bank, N.A.****
                              Director:
                                   Avery Dennison Corporation
                                   150 North Orange Grove Boulevard
                                   Pasadena, California 91103;
                                   Saint-Gobain Corporation
                                   750 East Swedesford Road
                                   Valley Forge, Pennsylvania 19482;
                                   Teledyne, Inc.
                                   1901 Avenue of the Stars
                                   Los Angeles, California 90067

ALVIN E. FRIEDMAN             Senior Adviser to Dillon, Read & Co. Inc.
Director                           535 Madison Avenue
                                   New York, New York 10022;
                              Director and Member of the Executive
                                   Committee of Avnet, Inc.**

LAWRENCE M. GREENE            Director:
Director                           Dreyfus America Fund

JULIAN M. SMERLING            None
Director

HOWARD STEIN                  Chairman of the Board:
Chairman of the Board and          Dreyfus Acquisition Corporation*;
Chief Executive Officer            The Dreyfus Consumer Credit Corporation*;
                                   Dreyfus Management, Inc.*;
                                   Dreyfus Service Corporation*;
                              Chairman of the Board and Chief Executive
                              Officer:
                                   Major Trading Corporation*;
                              Director:
                                   Avnet, Inc.**;
                                   Dreyfus America Fund++++;
                                   The Dreyfus Fund International
                                   Limited+++++;
                                   World Balanced Fund+++;
                                   Dreyfus Partnership Management,
                                        Inc.*;
                                   Dreyfus Personal Management, Inc.*;
                                   Dreyfus Precious Metals, Inc.*;
                                   Dreyfus Service Organization, Inc.***;
                                   Seven Six Seven Agency, Inc.*;
                              Trustee:
                                   Corporate Property Investors
                                   New York, New York

W. KEITH SMITH                Chairman and Chief Executive Officer:
Vice Chairman of the Board         The Boston Company*****;
                              Vice Chairman of the Board:
                                   Mellon Bank Corporation****;
                                   Mellon Bank, N.A.****;
                              Director:
                                   Dentsply International, Inc.
                                   570 West College Avenue
                                   York, Pennsylvania 17405

CHRISTOPHER M. CONDRON        Vice Chairman:
President, Chief                   Mellon Bank Corporation****;
Operating Officer                  The Boston Company*****;
and a Director                Deputy Director:
                                   Mellon Trust****;
                              Chief Executive Officer:
                                   The Boston Company Asset Management,
                                   Inc.*****;
                              President:
                                   Boston Safe Deposit and Trust Company*****

STEPHEN E. CANTER             Director:
Vice Chairman and                  The Dreyfus Trust Company++;
Chief Investment Officer,     Formerly, Chairman and Chief Executive Officer:
and a Director                     Kleinwort Benson Investment Management
                                        Americas Inc.*

LAWRENCE S. KASH              Chairman, President and Chief
Vice Chairman-Distribution    Executive Officer:
and a Director                     The Boston Company Advisors, Inc.
                                   53 State Street
                                   Exchange Place
                                   Boston, Massachusetts 02109
                              Executive Vice President and Director:
                                   Dreyfus Service Organization, Inc.***;
                              Director:
                                   The Dreyfus Consumer Credit Corporation*;
                                   The Dreyfus Trust Company++;
                                   Dreyfus Service Corporation*;
                              President:
                                   The Boston Company*****;
                                   Laurel Capital Advisors****;
                                   Boston Group Holdings, Inc.;
                              Executive Vice President:
                                   Mellon Bank, N.A.****;
                                   Boston Safe Deposit and Trust
                                   Company*****;

PHILIP L. TOIA                Chairman of the Board and Trust Investment
Vice Chairman-Operations      Officer:
and Administration                 The Dreyfus Trust Company++;
and a Director                Chairman of the Board and Chief Operating
                              Officer:
                                   Major Trading Corporation*;
                              Chairman and Director:
                                   Dreyfus Transfer, Inc.
                                   One American Express Plaza
                                   Providence, Rhode Island 02903
                              Director:
                                   Dreyfus Precious Metals, Inc.*;
                                   Dreyfus Service Corporation*;
                                   Seven Six Seven Agency, Inc.*;
                              President and Director:
                                   Dreyfus Acquisition Corporation*;
                                   The Dreyfus Consumer Credit Corporation*;
                                   Dreyfus-Lincoln, Inc.*;
                                   Dreyfus Management, Inc.*;
                                   Dreyfus Personal Management, Inc.*;
                                   Dreyfus Partnership Management, Inc.+;
                                   Dreyfus Service Organization, Inc.***;
                                   The Truepenny Corporation*;
                              Formerly, Senior Vice President:
                                   The Chase Manhattan Bank, N.A. and
                                   The Chase Manhattan Capital Markets
                                   Corporation
                                   One Chase Manhattan Plaza
                                   New York, New York 10081

WILLIAM T. SANDALLS, JR.      Director:
Senior Vice President and          Dreyfus Partnership Management, Inc.*;
Chief Financial Officer            Seven Six Seven Agency, Inc.*;
                              President and Director:
                                   Lion Management, Inc.*;
                              Executive Vice President and Director:
                                   Dreyfus Service Organization, Inc.*;
                              Vice President, Chief Financial Officer and
                              Director:
                                   Dreyfus Acquisition Corporation*;
                              Vice President and Director:
                                   The Dreyfus Consumer Credit Corporation*;
                                   The Truepenny Corporation*;
                              Treasurer, Financial Officer and Director:
                                   The Dreyfus Trust Company++;
                              Treasurer and Director:
                                   Dreyfus Management, Inc.*;
                                   Dreyfus Personal Management, Inc.*;
                                   Dreyfus Service Corporation*;
                                   Major Trading Corporation*;
                              Formerly, President and Director:
                                   Sandalls & Co., Inc.

BARBARA E. CASEY              President:
Vice President-                    Dreyfus Retirement Services Division;
Dreyfus Retirement            Executive Vice President:
Services                           Boston Safe Deposit & Trust Co.*****
                                   Dreyfus Service Corporation*

ELIE M. GENADRY               President:
Vice President-                    Institutional Services Division of Dreyfus
Institutional Sales                Service Corporation*;
                                   Broker-Dealer Division of Dreyfus Service
                                   Corporation*;
                                   Group Retirement Plans Division of Dreyfus
                                   Service Corporation;
                              Executive Vice President:
                                   Dreyfus Service Corporation*;
                                   Dreyfus Service Organization, Inc.***;
                              Vice President:
                                   The Dreyfus Trust Company++
WILLIAM F. GLAVIN, JR.        Executive Vice President:
Vice President-Corporate           Dreyfus Service Corporation*;
Development                   Senior Vice President:
                                   The Boston Company Advisors, Inc.
                                   53 State Street
                                   Exchange Place
                                   Boston, Massachusetts 02109

MARK N. JACOBS                Vice President, Secretary and Director:
Vice President-                    Lion Management, Inc.*;
General Counsel               Secretary:
and Secretary                      The Dreyfus Consumer Credit Corporation*;
                                   Dreyfus Management, Inc.*;
                              Assistant Secretary:
                                   Dreyfus Service Organization, Inc.***;
                                   Major Trading Corporation*;
                                   The Truepenny Corporation*

PATRICE M. KOZLOWSKI          None
Vice President-
Corporate Communications

MARY BETH LEIBIG              None
Vice President-
Human Resources


JEFFREY N. NACHMAN            President and Director:
Vice President-Mutual Fund         Dreyfus Transfer, Inc.
Accounting                         One American Express Plaza
                                   Providence, Rhode Island 02903

ANDREW S. WASSER              Vice President:
Vice President-Information         Mellon Bank Corporation****
Services

MAURICE BENDRIHEM             Treasurer:
Controller                         Dreyfus Partnership Management, Inc.*;
                                   Dreyfus Precious Metals, Inc.*;
                                   Dreyfus Service Organization, Inc.***;
                                   Seven Six Seven Agency, Inc.*;
                                   The Truepenny Corporation*;
                              Controller:
                                   Dreyfus Acquisition Corporation*;
                                   Dreyfus Service Corporation*;
                                   The Dreyfus Trust Company++;
                                   The Dreyfus Consumer Credit Corporation*;
                              Formerly, Vice President-Financial Planning,
                              Administration and Tax:
                                   Showtime/The Movie Channel, Inc.
                                   1633 Broadway
                                   New York, New York 10019

ELVIRA OSLAPAS                Assistant Secretary:
Assistant Secretary                Dreyfus Service Corporation*;
                                   Dreyfus Management, Inc.*;
                                   Dreyfus Acquisition Corporation, Inc.*;
                                   The Truepenny Corporation+


______________________________________

*       The address of the business so indicated is 200 Park Avenue, New
        York, New York 10166.
**      The address of the business so indicated is 80 Cutter Mill Road,
        Great Neck, New York 11021.
***     The address of the business so indicated is 131 Second Street, Lewes,
        Delaware 19958.
****    The address of the business so indicated is One Mellon Bank Center,
        Pittsburgh, Pennsylvania 15258.
*****   The address of the business so indicated is One Boston Place, Boston,
        Massachusetts 02108.
+       The address of the business so indicated is Atrium Building, 80 Route
        4 East, Paramus, New Jersey 07652.
++      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 Rockefeller Plaza,
        New York, New York 10020.
++++    The address of the business so indicated is 2 Boulevard Royal,
        Luxembourg.
+++++   The address of the business so indicated is Nassau, Bahama Islands.

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 Strategy Fund, 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 Capital Value Fund, Inc.
          14)  Dreyfus Cash Management
          15)  Dreyfus Cash Management Plus, Inc.
          16)  Dreyfus Connecticut Intermediate Municipal Bond Fund
          17)  Dreyfus Connecticut Municipal Money Market Fund, Inc.
          18)  Dreyfus Florida Intermediate Municipal Bond Fund
          19)  Dreyfus Florida Municipal Money Market Fund
          20)  The Dreyfus Fund Incorporated
          21)  Dreyfus Global Bond Fund, Inc.
          22)  Dreyfus Global Growth Fund
          23)  Dreyfus GNMA Fund, Inc.
          24)  Dreyfus Government Cash Management
          25)  Dreyfus Growth and Income Fund, Inc.
          26)  Dreyfus Growth and Value Funds, Inc.
          27)  Dreyfus Growth Opportunity Fund, Inc.
          28)  Dreyfus Income Funds
          29)  Dreyfus Institutional Money Market Fund
          30)  Dreyfus Institutional Short Term Treasury Fund
          31)  Dreyfus Insured Municipal Bond Fund, Inc.
          32)  Dreyfus Intermediate Municipal Bond Fund, Inc.
          33)  Dreyfus International Equity Fund, Inc.
          34)  The Dreyfus/Laurel Funds, Inc.
          35)  The Dreyfus/Laurel Funds Trust
          36)  The Dreyfus/Laurel Tax-Free Municipal Funds
          37)  The Dreyfus/Laurel Investment Series
          38)  Dreyfus Stock Index Fund, Inc.
          39)  Dreyfus LifeTime Portfolios, Inc.
          40)  Dreyfus Liquid Assets, Inc.
          41)  Dreyfus Massachusetts Intermediate Municipal Bond Fund
          42)  Dreyfus Massachusetts Municipal Money Market Fund
          43)  Dreyfus Massachusetts Tax Exempt Bond Fund
          44)  Dreyfus Michigan Municipal Money Market Fund, Inc.
          45)  Dreyfus Money Market Instruments, Inc.
          46)  Dreyfus Municipal Bond Fund, Inc.
          47)  Dreyfus Municipal Cash Management Plus
          48)  Dreyfus Municipal Money Market Fund, Inc.
          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 Ohio Municipal Money Market Fund, Inc.
          59)  Dreyfus 100% U.S. Treasury Intermediate Term Fund
          60)  Dreyfus 100% U.S. Treasury Long Term Fund
          61)  Dreyfus 100% U.S. Treasury Money Market Fund
          62)  Dreyfus 100% U.S. Treasury Short Term Fund
          63)  Dreyfus Pennsylvania Intermediate Municipal Bond Fund
          64)  Dreyfus Pennsylvania Municipal Money Market Fund
          65)  Dreyfus Short-Intermediate Government Fund
          66)  Dreyfus Short-Intermediate Municipal Bond Fund
          67)  Dreyfus Investment Grade Bond Funds, Inc.
          68)  The Dreyfus Socially Responsible Growth Fund, Inc.
          69)  Premier Strategic Investing
          70)  Dreyfus Tax Exempt Cash Management
          71)  The Dreyfus Third Century Fund, Inc.
          72)  Dreyfus Treasury Cash Management
          73)  Dreyfus Treasury Prime Cash Management
          74)  Dreyfus Variable Investment Fund
          75)  Dreyfus Worldwide Dollar Money Market Fund, Inc.
          76)  General California Municipal Bond Fund, Inc.
          77)  General California Municipal Money Market Fund
          78)  General Government Securities Money Market Fund, Inc.
          79)  General Money Market Fund, Inc.
          80)  General Municipal Bond Fund, Inc.
          81)  General Municipal Money Market Fund, Inc.
          82)  General New York Municipal Bond Fund, Inc.
          83)  General New York Municipal Money Market Fund
          84)  Dreyfus S&P 500 Index Fund
          85)  Dreyfus MidCap Index Fund
          86)  Premier Insured Municipal Bond Fund
          87)  Premier California Municipal Bond Fund
          88)  Premier Equity Funds, Inc.
          89)  Premier Global Investing, Inc.
          90)  Premier GNMA Fund
          91)  Premier Growth Fund, Inc.
          92)  Premier Municipal Bond Fund
          93)  Premier New York Municipal Bond Fund
          94)  Premier State Municipal Bond Fund
          95)  Premier Strategic Growth 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+     Senior Vice President, Treasurer   Assistant
                          and Chief Financial Officer        Treasurer

John E. Pelletier+        Senior Vice President, General     Vice President
                          Counsel, Secretary and Clerk       and Secretary

Frederick C. Dey++        Senior Vice President              Vice President
                                                             and Assistant
                                                             Treasurer

Eric B. Fischman++        Vice President and Associate       Vice President
                          General Counsel                    and Assistant
                                                             Secretary

Paul Prescott+            Vice President                     None

Elizabeth Bachman++       Assistant Vice President           Vice President
                                                             and Assistant
                                                             Secretary

Mary Nelson+              Assistant Treasurer                None

John J. Pyburn++          Assistant Treasurer                Assistant
                                                             Treasurer

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

John W. Gomez+            Director                           None

William J. Nutt+          Director                           None




________________________________
 +   Principal business address is One Exchange Place, 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 director or directors when
            requested in writing to do so by the holders of at least 10% of
            the Registrant's outstanding shares of common stock 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.

  (2)       To furnish each person to whom a prospectus is delivered with a
            copy of the Fund's latest Annual Report to Shareholders, upon
            request and without charge.

                                  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 30th day of May, 1996.
    

               GENERAL GOVERNMENT SECURITIES 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 (Principal Executive   05/30/96
- ---------------------------      Officer)
Marie E. Connolly
    
   
/s/Joseph F. Tower, III*         Assistant Treasurer (Principal   05/30/96
- ---------------------------      Financial and Accounting Officer)
Joseph F. Tower, III
    
   
/s/Joseph S. DiMartino*          Chairman of the Board of         05/30/96
- ---------------------------      Directors
Joseph S. DiMartino
    
   
/s/Clifford L. Alexander*        Director                         05/30/96
- ---------------------------
Clifford L. Alexander
    
   
/s/Peggy C. Davis*               Director                         05/30/96
- ---------------------------
Peggy C. Davis
    
   
/s/Ernest Kafka*                 Director                         05/30/96
- ---------------------------
Ernest Kafka
    
   
/s/Saul B. Klaman*               Director                         05/30/96
- ---------------------------
Saul B. Klaman
    
   
/s/Nathan Leventhal*             Director                         05/30/96
- ---------------------------
Nathan Leventhal
    

*BY:      /s/Eric B. Fischman
          ---------------------------
          Eric B. Fischman,
          Attorney-in-Fact


               GENERAL GOVERNMENT SECURITIES MONEY MARKET FUND, INC.


                                 INDEX OF EXHIBITS




      (11)         Consent of Independent Auditors. . . . . . .

      (17)         Financial Data Schedule. . . . . . . . . . .




                                                     Exhibit (11)






                    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 March 6, 1996, in this Registration Statement (Form N-1A 2-77207)
of General Government Securities Money Market Fund, Inc.




                                          ERNST & YOUNG LLP

New York, New York
May 24, 1996


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<ARTICLE> 6
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<NAME> GENERAL GOVERNMENT SECURITIES MONEY MARKET FUND, INC.
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   <NUMBER> 001
   <NAME> CLASS A
<MULTIPLIER> 1000
       
<S>                             <C>
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