DREYFUS MUNICIPAL MONEY MARKET FUND INC
497, 1995-05-26
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                                                            May 24, 1995
                   DREYFUS MUNICIPAL MONEY MARKET FUND, INC.
                SUPPLEMENT TO PROSPECTUS DATED JULY 25, 1994
        THE FOLLOWING ANTICIPATED CHANGES HAVE OCCURRED:
I.    CONSUMMATION OF THE MERGER
        THE FOLLOWING INFORMATION SUPPLEMENTS AND SUPERSEDES ANY CONTRARY
INFORMATION CONTAINED IN THE FUND'S PROSPECTUS.
        On August 24, 1994, the previously announced merger between The
Dreyfus Corporation ("Dreyfus") and a subsidiary of Mellon Bank Corporation
("Mellon") was completed, and as a result, Dreyfus now is a wholly-owned
subsidiary of Mellon Bank, N.A. instead of a publicly-owned corporation.
        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, Mellon managed more than $130 billion in assets as of July
31, 1994, including approximately $6 billion in mutual fund assets. As of
June 30, 1994, various subsidiaries of Mellon provided non-investment
services, such as custodial or administration services, for approximately
$747 billion in assets, including approximately $97 billion in mutual fund
assets.
              _____________________________________________

II.  NEW DISTRIBUTOR
        THE FOLLOWING INFORMATION SUPERSEDES AND REPLACES ANY CONTRARY
INFORMATION CONTAINED IN THE FUND'S PROSPECTUS AND SPECIFICALLY IN THE
SECTION ENTITLED "HOW TO BUY FUND SHARES."
        The Fund's distributor is Premier Mutual Fund Services, Inc. (the
"Distributor"), located at One Exchange Place, Boston, Massachusetts 02109.
The Distributor is a wholly-owned subsidiary of Institutional Administration
Services, Inc., a provider of mutual fund administration services, the parent
company of which is Boston Institutional Group, Inc.
        Accordingly, references in the Prospectus to Dreyfus Service
Corporation as the Fund's distributor should be substituted with Premier
Mutual Fund Services, Inc.
              _____________________________________________

III.RESULTS OF FUND SHAREHOLDER VOTE
        THE FOLLOWING INFORMATION SUPPLEMENTS AND SUPERSEDES ANY CONTRARY
INFORMATION CONTAINED IN THE FUND'S PROSPECTUS.
        On August 4, 1994, the Fund's shareholders voted to (a) approve a new
investment advisory agreement with Dreyfus which became effective upon
consummation of the merger between Dreyfus and a subsidiary of Mellon and (b)
change certain of the Fund's fundamental policies and investment restrictions
to permit the Fund to invest up to 10% of the value of its net assets in
illiquid securities and make such policy non-fundamental.
                          (CONTINUED ON REVERSE SIDE)
IV.  REVISED MANAGEMENT POLICIES
        THE FOLLOWING INFORMATION SUPPLEMENTS AND SUPERSEDES ANY CONTRARY
INFORMATION CONTAINED IN THE FUND'S PROSPECTUS.
        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.
              _____________________________________________

        THE FOLLOWING INFORMATION SUPPLEMENTS AND SHOULD BE READ IN
CONJUNCTION WITH THE SECTION OF THE FUND'S PROSPECTUS ENTITLED "SHAREHOLDER
SERVICES":
DREYFUS STEP PROGRAM - Dreyfus Step Program enables you to purchase Fund
shares without regard to the Fund's minimum initial investment requirements
through Dreyfus-AUTOMATIC Asset Builder, Dreyfus Government Direct Deposit
Privilege or Dreyfus Payroll Savings Plan. To establish a Dreyfus Step
Program account, you must supply the necessary information on the Fund's
Account Application and file the required authorization form(s) with the
Transfer Agent. For more information concerning this Program, or to request
the necessary authorization form(s), please call toll free 1-800-782-6620.
You may terminate your participation in this Program at any time by
discontinuing your participation in Dreyfus-AUTOMATIC Asset Builder, Dreyfus
Government Direct Deposit Privilege or Dreyfus Payroll Savings Plan, as the
case may be, as provided under the terms of such Privilege(s). The Fund
reserves the right to redeem your account if you have terminated your
participation in the Program and your account's net asset value is $500 or
less. See "How to Redeem Fund Shares." The Fund may modify or terminate this
Program at any time.
                                 910/stkr052495



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