TCW/DW CORE EQUITY TRUST, 497J, 1996-05-28

TCW/DW CORE EQUITY TRUST
497J, 1996-05-28

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                    TCW/DW CORE EQUITY TRUST 
                     TWO WORLD TRADE CENTER
                    NEW YORK, NEW YORK 10048
                         (212) 392-1600





                                   May 28, 1996


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

Re:  TCW/DW Core Equity Trust
     File 33-45450
     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 May 23, 1996.


                                   Very truly yours,              
                                   /s/ Barry Fink   
                                   Barry Fink       
                                   Assistant Secretary
                                   


cc: Randolph Koch
    Sheldon Curtis

mm:\tcwcore\497(j)