GENERAL MONEY MARKET FUND INC, 497J, 1994-03-25

GENERAL MONEY MARKET FUND INC
497J, 1994-03-25

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                       GENERAL MONEY MARKET FUND, INC.


                                                   March 25, 1994



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 No.: 2-72836
                 1940 Act No.: 811-3207
                 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. 25 to the Registration Statement, electronically filed with
the Securities and Exchange Commission on March 21, 1994.

                                                   Very truly yours,



                                                   Christine Pavalos
                                                   Assistant Secretary

CP/JB:vc
Enclosures

cc:  Ernst & Young
     Stroock & Stroock & Lavan