KEMPER NATIONAL TAX FREE INCOME SERIES
497, 1999-04-09
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           KEMPER NATIONAL TAX-FREE INCOME SERIES ("NATIONAL TRUST"):
                  Kemper Municipal Bond Fund ("Municipal Fund")
          Kemper Intermediate Municipal Bond Fund ("Intermediate Fund")

              KEMPER STATE TAX-FREE INCOME SERIES ("STATE TRUST"):
           Kemper California Tax-Free Income Fund ("California Fund")
              Kemper Florida Tax-Free Income Fund ("Florida Fund")
             Kemper New York Tax-Free Income Fund ("New York Fund")
                 Kemper Ohio Tax-Free Income Fund ("Ohio Fund")
                SUPPLEMENT TO STATEMENT OF ADDITIONAL INFORMATION
                              DATED JANUARY 1, 1999

The  following  disclosure  replaces the relevant  paragraph in the  "Custodian,
Transfer  Agent,  and  Shareholder  Services  Agent" section of the Statement of
Additional Information.

CUSTODIAN AND  SHAREHOLDER  SERVICE  AGENT.  State Street Bank and Trust Company
("State  Street"),  225  Franklin  Street,   Boston,   Massachusetts  02110,  as
custodian,  has custody of all securities  and cash of the Trusts.  State Street
attends  to the  collection  of  principal  and  income,  and  payment  for  and
collection  of proceeds of securities  bought and sold by the Trusts.  Investors
Fiduciary Trust Company ("IFTC") 801 Pennsylvania Avenue,  Kansas City, Missouri
64105, is also the Trusts' transfer agent and dividend-paying agent. Pursuant to
a services agreement with IFTC, Kemper Service Company ("KSvC"), an affiliate of
Scudder  Kemper,  serves as  "Shareholder  Service  Agent" of each Trust and, as
such, performs all of IFTC's duties as transfer agent and dividend paying agent.
IFTC receives as transfer agent,  and pays to KSvC as follows:  prior to January
1, 1999,  annual  account  fees at a maximum rate of $8 per account plus account
set up,  transaction  and maintenance  charges,  annual fees associated with the
contingent  deferred  sales  charge  (Class B only)  and  out-of-pocket  expense
reimbursement  and  effective  January 1, 1999,  annual  account  fees of $14.00
($23.00 for  retirement  accounts)  plus  account  set up  charges,  annual fees
associated with the contingent  deferred sales charges (Class B shares only), an
asset  based  fee of 0.02%  and  out-of-pocket  expense  reimbursement.  For the
National  Trust for the fiscal year ended  September  30,  1998,  IFTC  remitted
shareholder  service  fees in the amount of  $1,488,000  to KSvC as  Shareholder
Service  Agent.  For the State Trust for the fiscal year ended  August 31, 1998,
IFTC  remitted  shareholder  service  fees in the amount of  $546,000 to KSvC as
Shareholder Service Agent.



April 9, 1999


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