UNITED HIGH INCOME FUND INC
485BPOS, EX-99.B(I), 2000-06-29
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                                                              EX-99.B(i)hilegopn

June 29, 2000

United High Income Fund, Inc.
6300 Lamar Avenue
P. O. Box 29217
Shawnee Mission, Kansas 66201-9217

RE:  United High Income Fund, Inc.
     Post-Effective Amendment No. 31

Dear Sir or Madam:

In connection with the public offering of shares of Capital Stock of United High
Income Fund, Inc. (the "Fund"), I have examined such corporate records and
documents and have made such further investigation and examination as I deemed
necessary for the purpose of this opinion.

It is my opinion that the indefinite number of shares of such Capital Stock
covered by the Fund's Registration Statement on Form N-1A, when issued and paid
for in accordance with the terms of the offering, as set forth in the Prospectus
and Statement of Additional Information forming a part of the Registration
Statement, will be, when such Registration shall have become effective, legally
issued, fully paid and non-assessable by the Fund.

I hereby consent to the filing of this opinion as an Exhibit to the said
Registration Statement and to the reference to me in such Statement of
Additional Information.

Yours truly,



/s/Kristen A. Richards
---------------------
Kristen A. Richards
Vice President, Associate General
  Counsel and Secretary

KAR/sw


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