GENERAL CALIFORNIA MUNICIPAL MONEY MARKET FUND, 497J, 1995-08-09

GENERAL CALIFORNIA MUNICIPAL MONEY MARKET FUND
497J, 1995-08-09

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               GENERAL CALIFORNIA MUNICIPAL MONEY MARKET FUND



                                             August 9, 1995




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

Attention:     Filing - Rule 497(j)

RE:  General California Municipal Money Market Fund
     Registration Statement File No.: 33-9452
     CIK No.:  0000803951                         

Gentlemen:

     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. 13 to the Registration Statement,
electronically filed with the Securities and Exchange Commission on July
28, 1995.

                                             Very truly yours,



                                             Eric B. Fischman
                                             Vice President and
                                             Assistant Secretary


EBF:kwm

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     Stroock & Stroock & Lavan