CERTIFICATION
Pursuant to Rule 497(j), United High Income Fund, Inc. (1933 Act File No.
2-63643; 1940 Act File No. 811-2907) ("Registrant") hereby certifies that (a)
the forms of Prospectus and Statement of Additional Information used with
respect to the Registrant do not differ from those contained in Post-Effective
Amendment No. 25 ("Amendment No. 22") to its Registration Statement and (b)
Amendment No. 25 was filed electronically.
UNITED HIGH INCOME FUND, INC.
Dated: July 3, 1996 By:/s/Sharon K. Pappas
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Sharon K. Pappas
Vice President
