KEMPER NATIONAL TAX FREE INCOME SERIES
497, 1999-01-06
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                          KEMPER TAX-FREE INCOME FUNDS
                     Kemper Intermediate Municipal Bond Fund
                        SUPPLEMENT DATED JANUARY 1, 1999
                       TO PROSPECTUS DATED JANUARY 1, 1999

                               ------------------

A proxy statement dated October 23, 1998 (the "Proxy  Statement")  solicited the
approval  of  the  shareholders  of  Kemper  Intermediate  Municipal  Bond  Fund
("KIMBF") on certain  proposals,  including the  elimination of the  shareholder
approval  requirement  to amend  investment  objectives  and certain  investment
policies (the "Proposals"). However, at the Special Meeting of Shareholders held
on December 17, 1998 (the "Special  Meeting"),  there were insufficient votes to
approve the  Proposals.  The Special  Meeting was adjourned to January 15, 1999.
The currently  effective  Prospectus  describes the  investment  objectives  and
investment policies as proposed to be changed.  Until such time as the requisite
number  of  shares  of KIMBF  has been  voted  in  favor of the  Proposals,  the
Prospectus is revised to read as follows:

The last  sentence  of the first  paragraph  of the  "Investment  Objective  and
Principal  Strategies"  section  for KIMBF is  replaced  in its  entirety by the
following sentences:

Certain  fundamental  investment  restrictions  have been adopted for each Fund,
which  are  presented  in the  Statement  of  Additional  Information  and that,
together  with the  investment  objective  and policies of each Fund,  cannot be
changed  without  approval  by holders of a majority of its  outstanding  voting
shares.  As defined in the  Investment  Company Act of 1940 ("1940  Act"),  this
means the lesser of (a) 67% of the shares of the Fund present at a meeting where
more than 50% of the  outstanding  shares are present in person or by proxy;  or
(b) more than 50% of the outstanding shares of the Fund.





January 1, 1999



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