DEAN WITTER HIGH INCOME SECURITIES TRUST, 497J, 1997-06-18

DEAN WITTER HIGH INCOME SECURITIES TRUST
497J, 1997-06-18

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               DEAN WITTER HIGH INCOME SECURITIES 
                     TWO WORLD TRADE CENTER
                    NEW YORK, NEW YORK 10048
                         (212) 392-1600






                                        June 18, 1997


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

Re:  Dean Witter High Income Securities
     File 33-53299
     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 June 16, 1997.


                                        Very truly yours,
                                        /s/ Lou Anne McInnis      
                                        Lou Anne McInnis       
                                        Assistant Secretary
                                   


cc: Randolph Koch
    Barry Fink, Esq.

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