WITTER DEAN FEDERAL SECURITIES TRUST, 497J, 1997-12-29

WITTER DEAN FEDERAL SECURITIES TRUST
497J, 1997-12-29

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               DEAN WITTER FEDERAL SECURITIES TRUST
                      Two World Trade Center
                    New York, New York  10048
                         (212) 392-1600






                                        December 29, 1997


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

Re:  Dean Witter Federal Securities Trust
     File #811-4917
     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 December
24, 1997.


                                   Very truly yours,
                               /s/ Marilyn K. Cranney
                                   Marilyn K. Cranney
                                   Assistant Secretary



cc: Barry Fink
    Randolph Koch