GENERAL MUNICIPAL MONEY MARKET FUND INC
497J, 1994-02-25
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                  GENERAL MUNICIPAL MONEY MARKET FUND, INC.


                                                   February 25, 1994


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


Attention:  Filings - Rule 497(j)

           Re:  General Municipal Money Market Fund, Inc.
                Registration Statement File No. 2-77767
                CIK No.:  0000703153

Dear Sir/Madam:

     Pursuant to Rule 497(j) under the Securities Act of 1933, this is to
certify that the form of Prospectus and Statement of Additional Information
that would have been filed under paragraph (b) or (c) of this section does
not differ from that contained in the most recent amendment, Post-Effective
Amendment No. 18 to the Registration Statement, electronically filed with
the Securities and Exchange Commission on February 18, 1994.

                                                   Very truly yours,



                                                   Christine Pavalos
                                                   Assistant Secretary


CP/JB:mr
Enclosures

cc:  Ernst & Young
     Stroock & Stroock & Lavan


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