HENNESSY FUNDS INC
497J, 1996-03-11
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                                 FOLEY & LARDNER
                          A T T O R N E Y S  A T  L A W



                                 FIRSTAR CENTER
                            777 EAST WISCONSIN AVENUE
                         MILWAUKEE, WISCONSIN 53202-5367

                                                         A MEMBER OF GLOBALEX
                                                      WITH MEMBER OFFICES IN 

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   WASHINGTON, D.C.                                                   DRESDEN
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                              WRITER'S DIRECT LINE




   VIA EDGAR SYSTEM

   Securities and Exchange Commission
   450 Fifth Street, N.W.
   Judiciary Plaza
   Washington, DC  20549

             Re:  The Hennessy Funds, Inc. 
                  File Nos. 333-00227 & 811-7493
                  Rule 497(j) Certification

   Ladies & Gentlemen:

             The undersigned officer of The Hennessy Funds, Inc. ("the Fund")
   does hereby certify pursuant to Rule 497(j) promulgated under the
   Securities Act of 1933, as amended: (i) that the form of statement of
   additional information that would have been filed under Paragraph (c) of
   Rule 497 promulgated under the Securities Act of 1933, as amended, would
   not have differed from that contained in Pre-Effective Amendment No. 1 to
   Form N-1A registration statement filed by the Fund on March 4, 1996, which
   is the most recent amendment to such registration statement; and (ii) that
   the text of Pre-Effective Amendment No. 1 was filed with the Securities
   and Exchange Commission by direct transmittal through the EDGAR system on
   March 4, 1996.

                                 Very truly yours,

                                 THE HENNESSY FUNDS, INC.



                                 By  /s/  Neil J. Hennessy  


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