GENERAL GOVERNMENT SECURITIES MONEY MARKET FUND INC
497J, 1994-05-18
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         GENERAL GOVERNMENT SECURITIES MONEY MARKET FUND, INC.


                                                      May 18, 1994



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

Attention:  Filings - Rule 497(j)

      Re:  General Government Securities Money Market Fund, Inc.
           1933 Act No.: 2-77207
           1940 Act No.: 811-3456
           CIK No.: 0000702172

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. 16 to the
Registration Statement, electronically filed with the Securities
and Exchange Commission on May 10, 1994.

                                       Very truly yours,



                                       /s/ Christine Pavalos
                                       Assistant Secretary

CP/JB:kwm
Enclosures

cc:   Ernst & Young
      Stroock & Stroock & Lavan


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