INVESCO INDUSTRIAL INCOME FUND INC
497, 1998-11-05
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INVESCO FUNDS                           INVESCO FUNDS GROUP, INC.
                                        7800 East Union Avenue
                                        Denver, Colorado  80237
                                        Post Office Box 173706
                                        Denver, Colorado   80217-3706
                                        Telephone: 303-930-6300




November 5, 1998



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

RE:   INVESCO Industrial Income Fund, Inc.
      1933 Act No. 02-15382
      1940 Act No. 811-0893
      CIK No. 0000035732

Ladies and Gentlemen:

Pursuant  to  Rule  497(j)  of the  Securities  Act of  1933  (the  "1933  Act")
(submission type 497), INVESCO Industrial Income Fund, Inc. (the "Fund"), hereby
submits for filing on EDGAR this  certification  that the definitive form of its
Prospectus and Statement of Additional  Information for filing under Rule 497(j)
does not differ from that contained in the Post-Effective Amendment No. 59 under
the Securities Act of 1933 and Amendment No. 23 under the Investment Company Act
of 1940 to the Fund's  Registration  Statement  which was  electronically  filed
pursuant to Rule  485(b) on October  27,  1998.  This  Post-Effective  Amendment
became effective November 1, 1998.

If you have any  questions  or  comments,  please  contact  the  undersigned  at
303/930-6200.

Sincerely,


/s/ James F. Lummanick
- ---------------------------------
James F. Lummanick
Vice President and Assistant
  General Counsel








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