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