DREYFUS MUNICIPAL MONEY MARKET FUND INC
497J, 1995-10-03
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                                        October 3, 1995




Securities and Exchange Commission
Judiciary Plaza
450 Fifth Street, NW
Washington, D.C.  20549

Re:  Dreyfus Municipal Money Market Fund, Inc. (the "Fund")
     Registration Statement File No. 2-65232
     CIK No.:  0000312564

Dear Sir/Madam:

     Pursuant to Rule 497(j) under the Securities Act of 1933, this is to
certify that the Fund's form of Prospectus and Statement of Additional
Information that would have been filed under paragraph (b) or (c) of Rule
497 does not differ from that contained in the most recent amendment to
the Fund's Registration Statement, electronically filed with the
Securities and Exchange Commission on September 26, 1995.

                                        Very truly yours,




                                        Lawrence B. Stoller
                                        Assistant General Counsel
                                        The Dreyfus Corporation

JB/jmd

cc:  Ernst & Young LLP
     Stroock & Stroock & Lavan




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