ACCESSOR FUNDS INC
497J, 1996-05-03
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                                   May 1, 1996


VIA FEDERAL EXPRESS

Securities and Exchange Commission
Filing Desk Mail Stop 1-4
450 Fifth Street, N.W.
Washington, D.C.  20549

        Re:    Accessor Funds, Inc.
               Definitive Prospectuses and Statement of Additional Information
               SEC File No. 33-41245 and 811-6337

Ladies and Gentlemen:

         On behalf of Accessor Funds, Inc. (the "Fund") and pursuant  Regulation
497(j) promulgated under the Securities Act of 1933, as amended, (1) the form of
prospectuses and Statement of Additional  Information that would have been filed
under  paragraph (b) or (c) of Regulation  497 would not have differed from that
contained in the most recent  registration  statement or amendment,  and (2) the
text  of  the  most  recent  registration   statement  or  amendment  was  filed
electronically on April 29, 1996.

         Please  contact  the  undersigned  with  any  questions  you  may  have
concerning this filing at 1-800-759-3504.

                                                  Very truly yours,



                                                  /s/ Ravindra A. Deo
                                                  Ravindra A. Deo
                                                  Treasurer
/cjs
cc:  Beth Kramer, Esq.
     Mayer, Brown & Platt


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