WITTER DEAN FEDERAL SECURITIES TRUST, 497J, 1997-07-28

WITTER DEAN FEDERAL SECURITIES TRUST
497J, 1997-07-28

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






                                        July 28, 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 July 17, 1997.


                                   Very truly yours,
                               /s/ Frank Bruttomesso          
                                   Frank Bruttomesso 
                                   Assistant Secretary
                                   


cc: Randolph Koch
    Barry Fink