DEAN WITTER NEW YORK MUNICIPAL MONEY MARKET TRUST, 497J, 1998-03-04

DEAN WITTER NEW YORK MUNICIPAL MONEY MARKET TRUST
497J, 1998-03-04

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        DEAN WITTER NEW YORK MUNICIPAL MONEY MARKET TRUST
                     TWO WORLD TRADE CENTER
                    NEW YORK, NEW YORK 10048
                         (212) 392-1600






                                   March 4, 1998


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

Re:  Dean Witter New York Municipal Money Market Trust
   File 33-32763
   Rule 497(j) Filing

Dear Sir/Madam:

      On behalf of the Registrant, the undersigned certifies that
the  form  of  Prospectus and Statement of Additional Information
that  would have been filed under Section 497(c) would  not  have
differed  from  those contained in the text of  the  Registrant's
most  recent registration statement that was filed electronically
via EDGAR with the Securities and Exchange Commission on February
26, 1998.

                                   Very truly yours,
                               /s/ Carsten Otto
                                   Carsten Otto
                                   Assistant Secretary



cc:  Randolph Koch
     Barry Fink