DREYFUS CONNECTICUT MUNICIPAL MONEY MARKET FUND INC
497J, 1995-02-06
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            DREYFUS CONNECTICUT MUNICIPAL MONEY MARKET FUND, INC.




                                                  February 6, 1995



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

Attention:     Filing - Rule 497(j)

Re:  Dreyfus Connecticut Municipal Money Market Fund, Inc.:
     Registration Statement File No.:  33-34845
     CIK No.:  863471

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. 5 to the Registration Statement, electronically filed with
the Securities and Exchange Commission on November 30, 1994.

     If you should have any questions or comments on the enclosed,
please contact the undersigned at (212) 922-6840.

                                                  Very truly yours,





                                                  /s/ Eric Fischman
                                                  Assistant Secretary



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