UNITED CONTINENTAL INCOME FUND INC
497, 1996-05-30
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SUPPLEMENT TO THE PROSPECTUS

United Continental Income Fund, Inc. Class A Shares

Purchases of Shares by Certain Program Holders

Any person who was a holder of an uncompleted United Continental Income
Investment Program ("Program") on May 30, 1996, with a face amount of less than
$12,000, may purchase Class A shares of the Fund at net asset value ("NAV") plus
a maximum sales charge of 2%, up to the amount representing the unpaid balance
of his or her Program, if the purchase order is so designated.  Any holder of an
uncompleted Program on May 30, 1996, with a face amount of $12,000 or more, may
purchase Class A shares of the Fund at NAV, up to the amount representing the
unpaid balance of the Program, if the purchase order is so designated.  In
addition, any person who was a Program holder on May 30, 1996 may purchase Class
A shares of the Fund at NAV up to the amount representing partial Program
withdrawals outstanding on May 30, 1996, provided the purchase order is so
designated.

To be attached to the cover page of the Prospectus of United Continental Income
Fund, Inc. Class A shares dated August 29, 1995.

This Supplement is dated May 30, 1996.

NUS1004C

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SUPPLEMENT TO THE STATEMENT OF ADDITIONAL INFORMATION

United Continental Income Fund, Inc.

Purchases of Shares by Certain Program Holders

Any person who was a holder of an uncompleted United Continental Income
Investment Program ("Program") on May 30, 1996, with a face amount of less than
$12,000, may purchase Class A shares of the Fund at net asset value ("NAV") plus
a maximum sales charge of 2%, up to the amount representing the unpaid balance
of his or her Program, if the purchase order is so designated.  Any holder of an
uncompleted Program on May 30, 1996, with a face amount of $12,000 or more, may
purchase Class A shares of the Fund at NAV, up to the amount representing the
unpaid balance of the Program, if the purchase order is so designated.  In
addition, any person who was a Program holder on May 30, 1996, may purchase
Class A shares of the Fund at NAV up to the amount representing partial Program
withdrawals outstanding on May 30, 1996, provided the purchase order is so
designated.

To be attached to the cover page of the Statement Of Additional Information of
United Continental Income Fund, Inc. dated August 29, 1995.

This Supplement is dated May 30, 1996.



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