KEMPER NATIONAL TAX FREE INCOME SERIES
24F-2NT, 1998-12-24
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                                        UNITED STATES
                                        SECURITIES AND EXCHANGE COMMISSION
                                        Washington, DC  20549


                                        Form 24F-2
                                        Annual Notice of Securities Sold
                                        Pursuant to Rule 24f-2


Read instructions at end of Form before preparing Form.  Please print or type

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<S>   <C>

1     Name and address of issuer:
                                        Kemper National Tax-Free Income Series
                                        222 South Riverside Plaza
                                        Chicago, Illinois  60606

2     The name of each series or class of securities for which this Form is filed.          /    /
      (If the Form is being filed for all series and classes of securities of the
      issuer, check the box but do not list series or classes)

                                        Kemper Municipal Bond Fund



3     Investment Company Act File Number:                                      811-2353



      Securities Act File Number:                                              2-47008



4(a). Last day of fiscal year for which this Form is filed:                    September 30, 1998



Note: If the Form is being filed late, interest must be paid on the registration fee due.   /    /
4(b).  Check box if this Form is being filed late (i.e., more than 90 calendar days
       after the end of theissuer's fiscal year).  (See Instruction A.2)



4(c). Check box if this is the last time the issuer will be filing this Form.               /    /

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5     Calculation of registration fee:

(i)   Aggregate sale price of securities sold during the fiscal year pursuant to section 24(f):          $1,192,350,028.21



(ii)  Aggregate price of securities redeemed or repurchased during the fiscal             $1,233,063,355.55
      year:



(iii) Aggregate price of securities redeemed or repurchased during any prior               $212,444,599.04
      fiscal
      year ending no earlier than October 11, 1995 that were not previously used
      to reduce registration fees payable to the commission:







(iv)  Total available redemption credits [add items 5(ii) and 5(iii)]:                                            $1,445,507,954.59

(v)   Net sales - if item 5(i) is greater than item 5(iv)                                                                     $0.00
              [subtract item 5(iv) from item 5(i)]:


- --------------------------------------------------------------------------------------------------------
(vi)   Redemption credits available for use in future years
       - if item 5(i) is less than item 5(iv) [subtract item 5(iv) from item            $253,157,926.38
      5(i)]:
- --------------------------------------------------------------------------------------------------------


(vii) Multiplier for determining registration fee (See Instruction C.9):                                                   0.000278


(viii)Registration fee due [multiply item 5(v) by item 5(vii)]
      (enter "0" if no fee is due):                                                                                           $0.00


6     Prepaid Shares

      If the response to item 5(i) was determined by deducting an amount of securities
       that were registered under the Securities Act of 1933 pursuant to rule 24e-2 as in effect
       before October 11, 1997, then report the amount of securities (number of shares or
       other units) deducted here:   .                                                                19,526,158

       If there is a number of shares or other units that were registered pursuant to rule 24e-2
       remaining unsold at the  end of the fiscal year for which this form is filed that are available
       for use by the issuer in future fiscal years, then state that number here:                          0

7     Interest due - if this Form is being filed more than 90 days after the end of the issuer's                              $0.00
      fiscal year
      (see Instruction D):

8     Total amount of the registration fee due plus any interest due [line 5(viii) plus line 7]:                              $0.00


9     Date the registration fee and any interest payment was sent to the Commission's lockbox                     
      depository:

      Method of Delivery:                                                                               Wire Transfer
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SIGNATURES.


This report has been signed below by the following persons on behalf of the
issuer and in the capacities and on the dates indicated.



By (Signature and Title)*         /s/Caroline Pearson              Date 12/16/98
                                  -------------------                   --------

                                 Caroline Pearson, Assistant Secretary

*Please print the name and title of the signing officer below the signature.


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