GENERAL MONEY MARKET FUND INC
497J, 1995-04-05
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                                                  April 5, 1995



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

Attention:  Filings - Rule 497(j)

        Re:     General Money Market Fund, Inc.
                1933 Act Registration File No. 2-72836
                CIK No.:  0000353560

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. 19 to the
Registration Statement, electronically filed with the Securities
and Exchange Commission on March 29, 1995.

                                                  Sincerely,



                                                  Patricia Louie
                                                  Assistant General Counsel

cc:     Ernst & Young LLP
        Stroock & Stroock & Lavan



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