KEMPER DEFINED FUNDS SERIES 31
497, 1995-12-13
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Supplement to the Prospectus

Dated November 15, 1995

Kemper Defined Funds Series 31
Effective September 26, 1995, Kemper Unit Investment Trusts, a service of Kemper
Securities, Inc., the Trusts' Sponsor and Evaluator, changed its name to EVEREN
Unit Investment Trusts, a service of EVEREN Securities, Inc.  Through an
employee stock option plan, members of certain Kemper Corporation operating
units acquired ownership of certain Kemper Corporation operating units, which
included Kemper Securities, Inc.  Due to this acquisition, EVEREN Securities,
Inc. is not affiliated with Kemper Corporation or Kemper Financial Services,
Inc.  EVEREN Securities, Inc. is a wholly-owned subsidiary of EVEREN Capital
Corporation.
As of January 15, 1996, Investors Fiduciary Trust Company will be replaced by
The Bank Of New York as Trustee of the Trusts.  The Bank of New York is a trust
company organized under the laws of New York.  The Bank of New York has its
offices at 101 Barclay Street, New York, New York  10286, telephone (800)
701-8178.  The Bank of New York is subject to supervision and examination by the
Superintendent of Banks of the State of New York and the Board of Governors of
the Federal Reserve System, and its deposits are insured by the Federal Deposit
Insurance Corporation to the extent permitted by law.  Commencing January 15,
1996, Unitholder inquiries should be directed to the Bank of New York at the
address and telephone number above.




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