KEMPER NATIONAL TAX FREE INCOME SERIES
NSAR-B, 1995-11-29
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<PAGE>      PAGE  1
000 B000000 09/30/95
000 C000000 0000055190
000 D000000 N
000 E000000 NF
000 F000000 Y
000 G000000 N
000 H000000 N
000 I000000 3.0
000 J000000 A
001 A000000 KEMPER NATIONAL TAX-FREE INCOME SERIES
001 B000000 811-2353
001 C000000 3127811121
002 A000000 120 SOUTH LASALLE STREET
002 B000000 CHICAGO
002 C000000 IL
002 D010000 60603
003  000000 N
004  000000 N
005  000000 N
006  000000 N
007 A000000 Y
007 B000000  2
007 C010100  1
007 C020100 KEMPER MUNICIPAL BOND FUND
007 C030100 N
007 C010200  2
007 C020200 KEMPER INTERMEDIATE MUNICIPAL BOND FUND
007 C030200 N
007 C010300  3
007 C010400  4
007 C010500  5
007 C010600  6
007 C010700  7
007 C010800  8
007 C010900  9
007 C011000 10
008 A00AA01 KEMPER FINANCIAL SERVICES, INC.
008 B00AA01 A
008 C00AA01 801-6634
008 D01AA01 CHICAGO
008 D02AA01 IL
008 D03AA01 60603
010 A00AA01 KEMPER DISTRIBUTORS, INC.
010 B00AA01 8-47765
010 C01AA01 CHICAGO
010 C02AA01 IL
010 C03AA01 60603
011 A00AA01 KEMPER DISTRIBUTORS, INC.
011 B00AA01 8-47765
011 C01AA01 CHICAGO
011 C02AA01 IL
<PAGE>      PAGE  2
011 C03AA01 60603
012 A00AA01 KEMPER SERVICE COMPANY
012 B00AA01 84-1713
012 C01AA01 KANSAS CITY
012 C02AA01 MO
012 C03AA01 64105
013 A00AA01 ERNST & YOUNG LLP
013 B01AA01 CHICAGO
013 B02AA01 IL
013 B03AA01 60606
014 A00AA01 KEMPER DISTRIBUTORS, INC.
014 B00AA01 8-47765
015 A00AA01 INVESTORS FIDUCIARY TRUST COMPANY
015 B00AA01 C
015 C01AA01 KANSAS CITY
015 C02AA01 MO
015 C03AA01 64105
015 E01AA01 X
015 A00AA02 STATE STREET BANK AND TRUST COMPANY
015 B00AA02 S
015 C01AA02 BOSTON
015 C02AA02 MA
015 C03AA02 02110
015 E01AA02 X
018  00AA00 Y
019 A00AA00 Y
019 B00AA00   49
019 C00AA00 KEMPERFNDS
020 A000001 DEAN WITTER REYNOLDS, INC.
020 B000001 94-1671384
020 C000001    765
020 A000002 MERRILL LYNCH, PIERCE, FENNER AND SMITH INC.
020 B000002 13-5674085
020 C000002     72
020 A000003 LIT OF FIRST CHICAGO
020 B000003 UNKNOWN
020 C000003     68
020 A000004 LEHMAN BROTHERS INC.
020 B000004 13-2518466
020 C000004     26
020 A000005 GOLDMAN, SACHS & CO.
020 B000005 13-5108880
020 C000005     19
020 C000006      0
020 C000007      0
020 C000008      0
020 C000009      0
020 C000010      0
021  000000      950
022 A000001 WILLIAM E. SIMON & SONS MUNICIPAL SECURITIES
022 B000001 22-3017217
<PAGE>      PAGE  3
022 C000001    990679
022 D000001    711594
022 A000002 LEHMAN BROTHERS, INC.
022 B000002 13-2518466
022 C000002    651002
022 D000002    671834
022 A000003 MERRILL LYNCH, PIERCE, FENNER AND SMITH INC.
022 B000003 13-5674085
022 C000003    565682
022 D000003    653971
022 A000004 GOLDMAN, SACHS & CO.
022 B000004 13-5108880
022 C000004    536573
022 D000004    366128
022 A000005 THE FIRST BOSTON CORPORATION
022 B000005 13-5659485
022 C000005    487382
022 D000005    388634
022 A000006 MORGAN STANLEY & CO. INCORPORATED
022 B000006 13-2655998
022 C000006    150497
022 D000006    227990
022 A000007 SMITH BARNEY SHEARSON INC.
022 B000007 13-1912900
022 C000007    153050
022 D000007    172144
022 A000008 J.P. MORGAN SECURITIES INC.
022 B000008 13-3224016
022 C000008    147800
022 D000008    169507
022 A000009 PAINEWEBBER INCORPORATED
022 B000009 13-2638166
022 C000009     92052
022 D000009    169387
022 A000010 BANKERS TRUST COMPANY
022 B000010 13-4941247
022 C000010    125450
022 D000010     98808
023 C000000    4401276
023 D000000    4504839
024  00AA00 N
025 D00AA01       0
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025 D00AA04       0
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025 D00AA06       0
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026 A000000 Y
026 B000000 Y
<PAGE>      PAGE  4
026 C000000 Y
026 D000000 Y
026 E000000 N
026 F000000 N
026 G010000 N
026 G020000 N
026 H000000 N
027  000000 Y
034  00AA00 Y
035  00AA00     65
036 A00AA00 N
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037  00AA00 N
038  00AA00      0
039  00AA00 N
040  00AA00 Y
041  00AA00 Y
049  00AA00 N
050  00AA00 N
051  00AA00 N
052  00AA00 N
053 A00AA00 N
054 A00AA00 Y
054 B00AA00 Y
054 C00AA00 N
054 D00AA00 N
054 E00AA00 N
054 F00AA00 N
054 G00AA00 N
054 H00AA00 Y
054 I00AA00 N
054 J00AA00 Y
054 K00AA00 N
054 L00AA00 N
054 M00AA00 Y
054 N00AA00 N
054 O00AA00 N
055 A00AA00 Y
055 B00AA00 N
056  00AA00 Y
057  00AA00 N
058 A00AA00 N
059  00AA00 Y
060 A00AA00 Y
060 B00AA00 Y
061  00AA00     1000
066 A00AA00 N
067  00AA00 N
068 A00AA00 N
068 B00AA00 N
069  00AA00 N
<PAGE>      PAGE  5
077 A000000 Y
077 B000000 Y
077 C000000 Y
077 D000000 N
077 E000000 N
077 F000000 N
077 G000000 N
077 H000000 N
077 I000000 N
077 J000000 N
077 K000000 N
077 L000000 N
077 M000000 N
077 N000000 N
077 O000000 N
077 P000000 N
077 Q010000 N
077 Q020000 N
077 Q030000 N
078  000000 N
080 A00AA00 ICI MUTUAL INSURANCE COMPANY
080 C00AA00    60000
081 A00AA00 Y
081 B00AA00  83
082 A00AA00 N
082 B00AA00        0
083 A00AA00 N
083 B00AA00        0
084 A00AA00 N
084 B00AA00        0
085 A00AA00 Y
085 B00AA00 N
086 A010000      0
086 A020000      0
086 B010000      0
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086 C010000      0
086 C020000      0
086 D010000      0
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086 C02AA00      0
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<PAGE>      PAGE  6
086 D02AA00      0
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086 E02AA00      0
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086 F02AA00      0
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029  000100 Y
030 A000100   2259
030 B000100  4.50
030 C000100  0.00
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031 B000100      0
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033  000100    392
042 A000100   0
042 B000100   0
042 C000100   0
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042 E000100   0
042 F000100   0
042 G000100   0
042 H000100 100
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<PAGE>      PAGE  7
044  000100   1168
045  000100 Y
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048 G020100 0.340
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048 H020100 0.000
048 I010100        0
048 I020100 0.000
048 J010100        0
048 J020100 0.000
048 K010100 12500000
048 K020100 0.320
062 A000100 Y
062 B000100   0.0
062 C000100   0.0
062 D000100   0.0
062 E000100   3.5
062 F000100   0.0
062 G000100   0.0
062 H000100   0.0
062 I000100   0.0
062 J000100   0.0
062 K000100   0.0
062 L000100   0.0
062 M000100   0.0
062 N000100   0.0
062 O000100  94.0
062 P000100   0.0
062 Q000100   0.0
062 R000100   0.0
063 A000100   0
063 B000100 19.2
064 A000100 Y
064 B000100 N
070 A010100 Y
070 A020100 N
<PAGE>      PAGE  8
070 B010100 N
070 B020100 N
070 C010100 Y
070 C020100 N
070 D010100 N
070 D020100 N
070 E010100 Y
070 E020100 Y
070 F010100 N
070 F020100 N
070 G010100 Y
070 G020100 Y
070 H010100 N
070 H020100 N
070 I010100 N
070 I020100 N
070 J010100 Y
070 J020100 N
070 K010100 N
070 K020100 N
070 L010100 N
070 L020100 N
070 M010100 N
070 M020100 N
070 N010100 Y
070 N020100 N
070 O010100 Y
070 O020100 N
070 P010100 N
070 P020100 N
070 Q010100 N
070 Q020100 N
070 R010100 N
070 R020100 N
071 A000100   2942163
071 B000100   3368953
071 C000100   3409192
071 D000100   86
072 A000100 12
072 B000100   222621
072 C000100        0
072 D000100        0
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072 F000100    14685
072 G000100     4852
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<PAGE>      PAGE  9
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073 A020100   0.0000
073 B000100   0.0350
073 C000100   0.0000
074 A000100     2584
074 B000100        0
074 C000100   121750
074 D000100  3300550
074 E000100        0
074 F000100        0
074 G000100        0
074 H000100        0
074 I000100        0
074 J000100   112637
074 K000100        0
074 L000100    62153
074 M000100        0
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074 O000100    74583
074 P000100     1709
074 Q000100        0
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074 R040100    12734
074 S000100        0
074 T000100  3510648
074 U010100   342298
074 U020100     3586
074 V010100     0.00
074 V020100     0.00
<PAGE>      PAGE  10
074 W000100   0.0000
074 X000100    89465
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075 B000100  3541880
076  000100     0.00
028 A010200       731
028 A020200        32
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028 B010200      1138
028 B020200        43
028 B030200         0
028 B040200       385
028 C010200      4447
028 C020200        43
028 C030200         0
028 C040200       189
028 D010200       750
028 D020200        48
028 D030200         0
028 D040200      2775
028 E010200       494
028 E020200        43
028 E030200         0
028 E040200       110
028 F010200       422
028 F020200        42
028 F030200         0
028 F040200       164
028 G010200      7982
028 G020200       251
028 G030200         0
028 G040200      3766
028 H000200      1571
029  000200 Y
030 A000200     52
030 B000200  2.75
030 C000200  0.00
031 A000200      8
031 B000200      0
032  000200     26
033  000200     17
042 A000200   0
042 B000200   0
042 C000200   0
042 D000200   0
042 E000200   0
042 F000200   0
042 G000200   0
042 H000200 100
<PAGE>      PAGE  11
043  000200     19
044  000200    175
045  000200 Y
046  000200 Y
047  000200 Y
048  000200  0.000
048 A010200   250000
048 A020200 0.550
048 B010200   750000
048 B020200 0.520
048 C010200  1500000
048 C020200 0.500
048 D010200  2500000
048 D020200 0.480
048 E010200  2500000
048 E020200 0.450
048 F010200  2500000
048 F020200 0.430
048 G010200  2500000
048 G020200 0.410
048 H010200        0
048 H020200 0.000
048 I010200        0
048 I020200 0.000
048 J010200        0
048 J020200 0.000
048 K010200 12500000
048 K020200 0.400
062 A000200 Y
062 B000200   0.0
062 C000200   0.0
062 D000200   0.0
062 E000200   0.0
062 F000200   0.0
062 G000200   0.0
062 H000200   0.0
062 I000200   0.0
062 J000200   0.0
062 K000200   0.0
062 L000200   0.0
062 M000200   0.0
062 N000200   0.0
062 O000200  95.9
062 P000200   0.0
062 Q000200   0.0
062 R000200   0.0
063 A000200   0
063 B000200  8.9
064 A000200 Y
064 B000200 N
070 A010200 Y
<PAGE>      PAGE  12
070 A020200 N
070 B010200 N
070 B020200 N
070 C010200 Y
070 C020200 N
070 D010200 N
070 D020200 N
070 E010200 Y
070 E020200 N
070 F010200 N
070 F020200 N
070 G010200 Y
070 G020200 N
070 H010200 N
070 H020200 N
070 I010200 N
070 I020200 N
070 J010200 Y
070 J020200 N
070 K010200 N
070 K020200 N
070 L010200 N
070 L020200 N
070 M010200 N
070 M020200 N
070 N010200 Y
070 N020200 N
070 O010200 Y
070 O020200 N
070 P010200 N
070 P020200 N
070 Q010200 N
070 Q020200 N
070 R010200 N
070 R020200 N
071 A000200     21224
071 B000200      6537
071 C000200     11901
071 D000200   60
072 A000200 11
072 B000200      589
072 C000200        0
072 D000200        0
072 E000200        0
072 F000200       58
072 G000200       20
072 H000200        0
072 I000200        0
072 J000200       16
072 K000200        0
072 L000200        0
<PAGE>      PAGE  13
072 M000200        0
072 N000200        1
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072 S000200        4
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072 Z000200      509
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072DD010200      406
072DD020200      103
072EE000200        0
073 A010200   0.0000
073 A020200   0.0000
073 B000200   0.0000
073 C000200   0.0000
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074 B000200        0
074 C000200        0
074 D000200    15508
074 E000200        0
074 F000200        0
074 G000200        0
074 H000200        0
074 I000200        0
074 J000200        0
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074 O000200        0
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074 Q000200        0
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<PAGE>      PAGE  14
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SIGNATURE   JEROME L. DUFFY                              
TITLE       TREASURER           
 


<TABLE> <S> <C>

<ARTICLE> 6
<LEGEND>
PER SHARE AND RATIO INFORMATION IS SHOWN AT THE CLASS LEVEL.  ALL OTHER
INFORMATION IS COMBINED FOR ALL CLASSES.  THIS SCHEDULE CONTAINS SUMMARY
FINANCIAL INFORMATION EXTRACTED FROM THE 1995 ANNUAL REPORT TO SHAREHOLDERS AND
IS QUALIFIED IN ITS ENTIRETY BY REFERENCE TO SUCH FINANCIAL STATEMENTS.
</LEGEND>
<CIK> 0000055190
<NAME> KEMPER NATIONAL TAX-FREE INCOME SERIES
<SERIES>
   <NUMBER> 10
   <NAME> KEMPER MUNICIPAL BOND FUND - COMBINED FOR ALL CLASSES
<MULTIPLIER> 1000
       
<S>                             <C>
<PERIOD-TYPE>                   12-MOS
<FISCAL-YEAR-END>                          SEP-30-1995
<PERIOD-END>                               SEP-30-1995
<INVESTMENTS-AT-COST>                        3,259,546
<INVESTMENTS-AT-VALUE>                       3,422,300
<RECEIVABLES>                                  174,790
<ASSETS-OTHER>                                   2,584
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                               3,599,674
<PAYABLE-FOR-SECURITIES>                        74,583
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                       14,443
<TOTAL-LIABILITIES>                             89,026
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                     3,363,551
<SHARES-COMMON-STOCK>                                0
<SHARES-COMMON-PRIOR>                                0
<ACCUMULATED-NII-CURRENT>                            0
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                       (15,657)
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                       162,754
<NET-ASSETS>                                 3,510,648
<DIVIDEND-INCOME>                                    0
<INTEREST-INCOME>                              222,621
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                (23,493)
<NET-INVESTMENT-INCOME>                        199,128
<REALIZED-GAINS-CURRENT>                       (5,853)
<APPREC-INCREASE-CURRENT>                      178,553
<NET-CHANGE-FROM-OPS>                          371,828
<EQUALIZATION>                                       0
<DISTRIBUTIONS-OF-INCOME>                    (199,128)
<DISTRIBUTIONS-OF-GAINS>                      (12,759)
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                              0
<NUMBER-OF-SHARES-REDEEMED>                          0
<SHARES-REINVESTED>                                  0
<NET-CHANGE-IN-ASSETS>                       (206,349)
<ACCUMULATED-NII-PRIOR>                              0
<ACCUMULATED-GAINS-PRIOR>                            0
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                         (14,685)
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                               (23,493)
<AVERAGE-NET-ASSETS>                         3,541,880
<PER-SHARE-NAV-BEGIN>                                0
<PER-SHARE-NII>                                      0
<PER-SHARE-GAIN-APPREC>                              0
<PER-SHARE-DIVIDEND>                                 0
<PER-SHARE-DISTRIBUTIONS>                            0
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                                  0
<EXPENSE-RATIO>                                      0
<AVG-DEBT-OUTSTANDING>                               0
<AVG-DEBT-PER-SHARE>                                 0
        

</TABLE>

<TABLE> <S> <C>

<ARTICLE> 6
<LEGEND>
PER SHARE AND RATIO INFORMATION IS SHOWN AT THE CLASS LEVEL.  ALL OTHER
INFORMATION IS COMBINED FOR ALL CLASSES.  THIS SCHEDULE CONTAINS SUMMARY
FINANCIAL INFORMATION EXTRACTED FROM THE 1995 ANNUAL REPORT TO SHAREHOLDERS AND
IS QUALIFIED IN ITS ENTIRETY BY REFERENCE TO SUCH FINANCIAL STATEMENTS.
</LEGEND>
<CIK> 0000055190
<NAME> KEMPER NATIONAL TAX-FREE INCOME SERIES
<SERIES>
   <NUMBER> 11
   <NAME> KEMPER MUNICIPAL BOND FUND - CLASS A
<MULTIPLIER> 1,000
       
<S>                             <C>
<PERIOD-TYPE>                   12-MOS
<FISCAL-YEAR-END>                          SEP-30-1995
<PERIOD-END>                               SEP-30-1995
<INVESTMENTS-AT-COST>                                0
<INVESTMENTS-AT-VALUE>                               0
<RECEIVABLES>                                        0
<ASSETS-OTHER>                                       0
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                                       0
<PAYABLE-FOR-SECURITIES>                             0
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                            0
<TOTAL-LIABILITIES>                                  0
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                             0
<SHARES-COMMON-STOCK>                          342,298
<SHARES-COMMON-PRIOR>                          382,539
<ACCUMULATED-NII-CURRENT>                            0
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<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                             0
<NET-ASSETS>                                 3,474,325
<DIVIDEND-INCOME>                                    0
<INTEREST-INCOME>                                    0
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                       0
<NET-INVESTMENT-INCOME>                              0
<REALIZED-GAINS-CURRENT>                             0
<APPREC-INCREASE-CURRENT>                            0
<NET-CHANGE-FROM-OPS>                                0
<EQUALIZATION>                                       0
<DISTRIBUTIONS-OF-INCOME>                            0
<DISTRIBUTIONS-OF-GAINS>                             0
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                         22,402
<NUMBER-OF-SHARES-REDEEMED>                   (76,431)
<SHARES-REINVESTED>                             13,788
<NET-CHANGE-IN-ASSETS>                               0
<ACCUMULATED-NII-PRIOR>                              0
<ACCUMULATED-GAINS-PRIOR>                            0
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<GROSS-ADVISORY-FEES>                                0
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                      0
<AVERAGE-NET-ASSETS>                                 0
<PER-SHARE-NAV-BEGIN>                             9.69
<PER-SHARE-NII>                                    .55
<PER-SHARE-GAIN-APPREC>                            .50
<PER-SHARE-DIVIDEND>                             (.55)
<PER-SHARE-DISTRIBUTIONS>                        (.04)
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                              10.15
<EXPENSE-RATIO>                                   .007
<AVG-DEBT-OUTSTANDING>                               0
<AVG-DEBT-PER-SHARE>                                 0
        

</TABLE>

<TABLE> <S> <C>

<ARTICLE> 6
<LEGEND>
PER SHARE AND RATIO INFORMATION IS SHOWN AT THE CLASS LEVEL.  ALL OTHER
INFORMATION IS COMBINED FOR ALL CLASSES.  THIS SCHEDULE CONTAINS SUMMARY
FINANCIAL INFORMATION EXTRACTED FROM THE 1995 ANNUAL REPORT TO SHAREHOLDERS AND
IS QUALIFIED IN ITS ENTIRETY BY REFERENCE TO SUCH FINANCIAL STATEMENTS.
</LEGEND>
<CIK> 0000055190
<NAME> KEMPER NATIONAL TAX-FREE INCOME SERIES
<SERIES>
   <NUMBER> 12
   <NAME> KEMPER MUNICIPAL BOND FUND - CLASS B
<MULTIPLIER> 1000
       
<S>                             <C>
<PERIOD-TYPE>                   12-MOS
<FISCAL-YEAR-END>                          SEP-30-1995
<PERIOD-END>                               SEP-30-1995
<INVESTMENTS-AT-COST>                                0
<INVESTMENTS-AT-VALUE>                               0
<RECEIVABLES>                                        0
<ASSETS-OTHER>                                       0
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                                       0
<PAYABLE-FOR-SECURITIES>                             0
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                            0
<TOTAL-LIABILITIES>                                  0
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                             0
<SHARES-COMMON-STOCK>                            3,429
<SHARES-COMMON-PRIOR>                            1,125
<ACCUMULATED-NII-CURRENT>                            0
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                              0
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                             0
<NET-ASSETS>                                    34,724
<DIVIDEND-INCOME>                                    0
<INTEREST-INCOME>                                    0
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                       0
<NET-INVESTMENT-INCOME>                              0
<REALIZED-GAINS-CURRENT>                             0
<APPREC-INCREASE-CURRENT>                            0
<NET-CHANGE-FROM-OPS>                                0
<EQUALIZATION>                                       0
<DISTRIBUTIONS-OF-INCOME>                            0
<DISTRIBUTIONS-OF-GAINS>                             0
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                          3,144
<NUMBER-OF-SHARES-REDEEMED>                      (929)
<SHARES-REINVESTED>                                 89
<NET-CHANGE-IN-ASSETS>                               0
<ACCUMULATED-NII-PRIOR>                              0
<ACCUMULATED-GAINS-PRIOR>                            0
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                                0
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                      0
<AVERAGE-NET-ASSETS>                                 0
<PER-SHARE-NAV-BEGIN>                             9.67
<PER-SHARE-NII>                                    .46
<PER-SHARE-GAIN-APPREC>                            .50
<PER-SHARE-DIVIDEND>                             (.46)
<PER-SHARE-DISTRIBUTIONS>                        (.04)
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                              10.13
<EXPENSE-RATIO>                                   .016
<AVG-DEBT-OUTSTANDING>                               0
<AVG-DEBT-PER-SHARE>                                 0
        

</TABLE>

<TABLE> <S> <C>

<ARTICLE> 6
<LEGEND>
PER SHARE AND RATIO INFORMATION IS SHOWN AT THE CLASS LEVEL.  ALL OTHER
INFORMATION IS COMBINED FOR ALL CLASSES.  THIS SCHEDULE CONTAINS SUMMARY
FINANCIAL INFORMATION EXTRACTED FROM THE 1995 ANNUAL REPORT TO SHAREHOLDERS AND
IS QUALIFIED IN ITS ENTIRETY BY REFERENCE TO SUCH FINANCIAL STATEMENTS.
</LEGEND>
<CIK> 0000055190
<NAME> KEMPER NATIONAL TAX-FREE INCOME SERIES
<SERIES>
   <NUMBER> 13
   <NAME> KEMPER MUNICIPAL BOND FUND - CLASS C
<MULTIPLIER> 1000
       
<S>                             <C>
<PERIOD-TYPE>                   12-MOS
<FISCAL-YEAR-END>                          SEP-30-1995
<PERIOD-END>                               SEP-30-1995
<INVESTMENTS-AT-COST>                                0
<INVESTMENTS-AT-VALUE>                               0
<RECEIVABLES>                                        0
<ASSETS-OTHER>                                       0
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                                       0
<PAYABLE-FOR-SECURITIES>                             0
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                            0
<TOTAL-LIABILITIES>                                  0
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                             0
<SHARES-COMMON-STOCK>                              157
<SHARES-COMMON-PRIOR>                               87
<ACCUMULATED-NII-CURRENT>                            0
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                              0
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                             0
<NET-ASSETS>                                     1,599
<DIVIDEND-INCOME>                                    0
<INTEREST-INCOME>                                    0
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                       0
<NET-INVESTMENT-INCOME>                              0
<REALIZED-GAINS-CURRENT>                             0
<APPREC-INCREASE-CURRENT>                            0
<NET-CHANGE-FROM-OPS>                                0
<EQUALIZATION>                                       0
<DISTRIBUTIONS-OF-INCOME>                            0
<DISTRIBUTIONS-OF-GAINS>                             0
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                            122
<NUMBER-OF-SHARES-REDEEMED>                       (56)
<SHARES-REINVESTED>                                  4
<NET-CHANGE-IN-ASSETS>                               0
<ACCUMULATED-NII-PRIOR>                              0
<ACCUMULATED-GAINS-PRIOR>                            0
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                                0
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                      0
<AVERAGE-NET-ASSETS>                                 0
<PER-SHARE-NAV-BEGIN>                             9.69
<PER-SHARE-NII>                                    .47
<PER-SHARE-GAIN-APPREC>                            .51
<PER-SHARE-DIVIDEND>                             (.47)
<PER-SHARE-DISTRIBUTIONS>                        (.04)
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                              10.16
<EXPENSE-RATIO>                                   .015
<AVG-DEBT-OUTSTANDING>                               0
<AVG-DEBT-PER-SHARE>                                 0
        

</TABLE>

<TABLE> <S> <C>

<ARTICLE> 6
<LEGEND>
PER SHARE AND RATIO INFORMATION IS SHOWN AT THE CLASS LEVEL.  ALL OTHER
INFORMATION IS COMBINED FOR ALL CLASSES.  THIS SCHEDULE CONTAINS SUMMARY
FINANCIAL INFORMATION EXTRACTED FROM THE 1995 ANNUAL REPORT TO SHAREHOLDERS AND
IS QUALIFIED IN ITS ENTIRETY BY REFERENCE TO SUCH FINANCIAL STATEMENTS.
</LEGEND>
<CIK> 0000055190
<NAME> KEMPER NATIONAL TAX-FREE INCOME SERIES
<SERIES>
   <NUMBER> 20
   <NAME> KEMPER INTERMEDIATE MUNICIPAL BOND FUND - ALL CLASSES
<MULTIPLIER> 1000
       
<S>                             <C>
<PERIOD-TYPE>                   10-MOS
<FISCAL-YEAR-END>                          SEP-30-1995
<PERIOD-END>                               SEP-30-1995
<INVESTMENTS-AT-COST>                           14,797
<INVESTMENTS-AT-VALUE>                          15,508
<RECEIVABLES>                                      481
<ASSETS-OTHER>                                     203
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                                  16,192
<PAYABLE-FOR-SECURITIES>                             0
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                           23
<TOTAL-LIABILITIES>                                 23
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                        15,348
<SHARES-COMMON-STOCK>                                0
<SHARES-COMMON-PRIOR>                                0
<ACCUMULATED-NII-CURRENT>                            0
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                            110
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                           711
<NET-ASSETS>                                    16,169
<DIVIDEND-INCOME>                                    0
<INTEREST-INCOME>                                  589
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                    (80)
<NET-INVESTMENT-INCOME>                            509
<REALIZED-GAINS-CURRENT>                           110
<APPREC-INCREASE-CURRENT>                          711
<NET-CHANGE-FROM-OPS>                            1,330
<EQUALIZATION>                                       0
<DISTRIBUTIONS-OF-INCOME>                        (509)
<DISTRIBUTIONS-OF-GAINS>                             0
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                              0
<NUMBER-OF-SHARES-REDEEMED>                          0
<SHARES-REINVESTED>                                  0
<NET-CHANGE-IN-ASSETS>                          16,069
<ACCUMULATED-NII-PRIOR>                              0
<ACCUMULATED-GAINS-PRIOR>                            0
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                             (58)
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                  (133)
<AVERAGE-NET-ASSETS>                            11,279
<PER-SHARE-NAV-BEGIN>                                0
<PER-SHARE-NII>                                      0
<PER-SHARE-GAIN-APPREC>                              0
<PER-SHARE-DIVIDEND>                                 0
<PER-SHARE-DISTRIBUTIONS>                            0
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                                  0
<EXPENSE-RATIO>                                      0
<AVG-DEBT-OUTSTANDING>                               0
<AVG-DEBT-PER-SHARE>                                 0
        

</TABLE>

<TABLE> <S> <C>

<ARTICLE> 6
<LEGEND>
PER SHARE AND RATIO INFORMATION IS SHOWN AT THE CLASS LEVEL.  ALL OTHER
INFORMATION IS COMBINED FOR ALL CLASSES.  THIS SCHEDULE CONTAINS SUMMARY
FINANCIAL INFORMATION EXTRACTED FROM THE 1995 ANNUAL REPORT TO SHAREHOLDERS AND
IS QUALIFIED IN ITS ENTIRETY BY REFERENCE TO SUCH FINANCIAL STATEMENTS.
</LEGEND>
<CIK> 0000055190
<NAME> KEMPER NATIONAL TAX-FREE INCOME SERIES
<SERIES>
   <NUMBER> 21
   <NAME> KEMPER INTERMEDIATE MUNICIPAL BOND FUND - CLASS A
<MULTIPLIER> 1000
       
<S>                             <C>
<PERIOD-TYPE>                   10-MOS
<FISCAL-YEAR-END>                          SEP-30-1995
<PERIOD-END>                               SEP-30-1995
<INVESTMENTS-AT-COST>                                0
<INVESTMENTS-AT-VALUE>                               0
<RECEIVABLES>                                        0
<ASSETS-OTHER>                                       0
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                                       0
<PAYABLE-FOR-SECURITIES>                             0
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                            0
<TOTAL-LIABILITIES>                                  0
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                             0
<SHARES-COMMON-STOCK>                            1,258
<SHARES-COMMON-PRIOR>                                0
<ACCUMULATED-NII-CURRENT>                            0
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                              0
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                             0
<NET-ASSETS>                                    12,808
<DIVIDEND-INCOME>                                    0
<INTEREST-INCOME>                                    0
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                       0
<NET-INVESTMENT-INCOME>                              0
<REALIZED-GAINS-CURRENT>                             0
<APPREC-INCREASE-CURRENT>                            0
<NET-CHANGE-FROM-OPS>                                0
<EQUALIZATION>                                       0
<DISTRIBUTIONS-OF-INCOME>                            0
<DISTRIBUTIONS-OF-GAINS>                             0
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                          1,703
<NUMBER-OF-SHARES-REDEEMED>                      (481)
<SHARES-REINVESTED>                                 32
<NET-CHANGE-IN-ASSETS>                               0
<ACCUMULATED-NII-PRIOR>                              0
<ACCUMULATED-GAINS-PRIOR>                            0
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                                0
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                      0
<AVERAGE-NET-ASSETS>                                 0
<PER-SHARE-NAV-BEGIN>                             9.50
<PER-SHARE-NII>                                    .45
<PER-SHARE-GAIN-APPREC>                            .68
<PER-SHARE-DIVIDEND>                             (.45)
<PER-SHARE-DISTRIBUTIONS>                            0
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                              10.18
<EXPENSE-RATIO>                                   .011
<AVG-DEBT-OUTSTANDING>                               0
<AVG-DEBT-PER-SHARE>                                 0
        

</TABLE>

<TABLE> <S> <C>

<ARTICLE> 6
<LEGEND>
PER SHARE AND RATIO INFORMATION IS SHOWN AT THE CLASS LEVEL.  ALL OTHER
INFORMATION IS COMBINED FOR ALL CLASSES.  THIS SCHEDULE CONTAINS SUMMARY
FINANCIAL INFORMATION EXTRACTED FROM THE 1995 ANNUAL REPORT TO SHAREHOLDERS AND
IS QUALIFIED IN ITS ENTIRETY BY REFERENCE TO SUCH FINANCIAL STATEMENTS.
</LEGEND>
<CIK> 0000055190
<NAME> KEMPER NATIONAL TAX-FREE INCOME SERIES
<SERIES>
   <NUMBER> 22
   <NAME> KEMPER INTERMEDIATE MUNICIPAL BOND FUND - CLASS B
<MULTIPLIER> 1000
       
<S>                             <C>
<PERIOD-TYPE>                   10-MOS
<FISCAL-YEAR-END>                          SEP-30-1995
<PERIOD-END>                               SEP-30-1995
<INVESTMENTS-AT-COST>                                0
<INVESTMENTS-AT-VALUE>                               0
<RECEIVABLES>                                        0
<ASSETS-OTHER>                                       0
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                                       0
<PAYABLE-FOR-SECURITIES>                             0
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                            0
<TOTAL-LIABILITIES>                                  0
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                             0
<SHARES-COMMON-STOCK>                              261
<SHARES-COMMON-PRIOR>                                0
<ACCUMULATED-NII-CURRENT>                            0
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                              0
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                             0
<NET-ASSETS>                                     2,657
<DIVIDEND-INCOME>                                    0
<INTEREST-INCOME>                                    0
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                       0
<NET-INVESTMENT-INCOME>                              0
<REALIZED-GAINS-CURRENT>                             0
<APPREC-INCREASE-CURRENT>                            0
<NET-CHANGE-FROM-OPS>                                0
<EQUALIZATION>                                       0
<DISTRIBUTIONS-OF-INCOME>                            0
<DISTRIBUTIONS-OF-GAINS>                             0
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                            313
<NUMBER-OF-SHARES-REDEEMED>                       (61)
<SHARES-REINVESTED>                                  5
<NET-CHANGE-IN-ASSETS>                               0
<ACCUMULATED-NII-PRIOR>                              0
<ACCUMULATED-GAINS-PRIOR>                            0
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                                0
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                      0
<AVERAGE-NET-ASSETS>                                 0
<PER-SHARE-NAV-BEGIN>                             9.50
<PER-SHARE-NII>                                    .36
<PER-SHARE-GAIN-APPREC>                            .68
<PER-SHARE-DIVIDEND>                             (.36)
<PER-SHARE-DISTRIBUTIONS>                            0
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                              10.18
<EXPENSE-RATIO>                                   .019
<AVG-DEBT-OUTSTANDING>                               0
<AVG-DEBT-PER-SHARE>                                 0
        

</TABLE>

<TABLE> <S> <C>

<ARTICLE> 6
<LEGEND>
PER SHARE AND RATIO INFORMATION IS SHOWN AT THE CLASS LEVEL.  ALL OTHER
INFORMATION IS COMBINED FOR ALL CLASSES.  THIS SCHEDULE CONTAINS SUMMARY
FINANCIAL INFORMATION EXTRACTED FROM THE 1995 ANNUAL REPORT TO SHAREHOLDERS AND
IS QUALIFIED IN ITS ENTIRETY BY REFERENCE TO SUCH FINANCIAL STATEMENTS.
</LEGEND>
<CIK> 0000055190
<NAME> KEMPER NATIONAL TAX-FREE INCOME SERIES
<SERIES>
   <NUMBER> 23
   <NAME> KEMPER INTERMEDIATE MUNICIPAL BOND FUND - CLASS C
<MULTIPLIER> 1000
       
<S>                             <C>
<PERIOD-TYPE>                   10-MOS
<FISCAL-YEAR-END>                          SEP-30-1995
<PERIOD-END>                               SEP-30-1995
<INVESTMENTS-AT-COST>                                0
<INVESTMENTS-AT-VALUE>                               0
<RECEIVABLES>                                        0
<ASSETS-OTHER>                                       0
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                                       0
<PAYABLE-FOR-SECURITIES>                             0
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                            0
<TOTAL-LIABILITIES>                                  0
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                             0
<SHARES-COMMON-STOCK>                               69
<SHARES-COMMON-PRIOR>                                0
<ACCUMULATED-NII-CURRENT>                            0
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                              0
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                             0
<NET-ASSETS>                                       704
<DIVIDEND-INCOME>                                    0
<INTEREST-INCOME>                                    0
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                       0
<NET-INVESTMENT-INCOME>                              0
<REALIZED-GAINS-CURRENT>                             0
<APPREC-INCREASE-CURRENT>                            0
<NET-CHANGE-FROM-OPS>                                0
<EQUALIZATION>                                       0
<DISTRIBUTIONS-OF-INCOME>                            0
<DISTRIBUTIONS-OF-GAINS>                             0
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                             66
<NUMBER-OF-SHARES-REDEEMED>                        (3)
<SHARES-REINVESTED>                                  2
<NET-CHANGE-IN-ASSETS>                               0
<ACCUMULATED-NII-PRIOR>                              0
<ACCUMULATED-GAINS-PRIOR>                            0
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                                0
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                      0
<AVERAGE-NET-ASSETS>                                 0
<PER-SHARE-NAV-BEGIN>                             9.50
<PER-SHARE-NII>                                    .38
<PER-SHARE-GAIN-APPREC>                            .69
<PER-SHARE-DIVIDEND>                             (.38)
<PER-SHARE-DISTRIBUTIONS>                            0
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                              10.19
<EXPENSE-RATIO>                                   .018
<AVG-DEBT-OUTSTANDING>                               0
<AVG-DEBT-PER-SHARE>                                 0
        

</TABLE>

           SUPPLEMENTARY REPORT OF INDEPENDENT AUDITORS


Board of Trustees
Kemper Funds


In  planning and performing our audit of the financial statements  of
each  of  the  Kemper Funds listed in Exhibit A attached hereto  (the
"Funds")  for the year ended September 30, 1995, we considered  their
internal  control  structure, including procedures  for  safeguarding
securities,  in  order to determine our auditing procedures  for  the
purpose  of expressing our opinion on their financial statements  and
to  comply  with  the  requirements of Form  N-SAR,  not  to  provide
assurance on the internal control structure.

The  management  of  the Funds is responsible  for  establishing  and
maintaining  an  internal  control  structure.   In  fulfilling  this
responsibility, estimates and judgments by management are required to
assess  the  expected benefits and related costs of internal  control
structure  policies  and procedures.  Two of  the  objectives  of  an
internal control structure are to provide management with reasonable,
but  not absolute, assurance that assets are safeguarded against loss
from  unauthorized  use  or  disposition and  that  transactions  are
executed  in accordance with management's authorization and  recorded
properly  to permit preparation of financial statements in conformity
with generally accepted accounting principles.

Because  of  inherent limitations in any internal control  structure,
errors  or  irregularities  may occur and  not  be  detected.   Also,
projection  of any evaluation of the structure to future  periods  is
subject  to the risk that it may become inadequate because of changes
in  conditions or that the effectiveness of the design and  operation
may deteriorate.

Our  consideration  of  the  internal  control  structure  would  not
necessarily  disclose all matters in the internal  control  structure
that might be material weaknesses under standards established by  the
American  Institute  of  Certified Public  Accountants.   A  material
weakness is a condition in which the design or operation of the
specific  internal control structure elements does not  reduce  to  a
relatively  low  level  the  risk that errors  or  irregularities  in
amounts   that  would  be  material  in  relation  to  the  financial
statements  being  audited may occur and not  be  detected  within  a
timely  period by employees in the normal course of performing  their
assigned  functions.  However,  we noted  no  matters  involving  the
internal  control  structure, including procedures  for  safeguarding
securities,  that  we consider to be material weaknesses  as  defined
above as of September 30, 1995.

This  report  is  intended  solely for the  information  and  use  of
management and the Securities and Exchange Commission.


                                        ERNST & YOUNG LLP


Chicago, Illinois
October 27, 1995





Kemper Funds                                      Exhibit A

September 30, 1995



Kemper National Tax-Free Income Series:
  Kemper Municipal Bond Fund
  Kemper Intermediate Municipal Bond Fund








                 Report of Independent Auditors


The Board of Trustees
Kemper Funds

We have examined the accompanying description of Kemper Financial
Services, Inc. ("KFS") policies and procedures applicable to  the
multiple distribution system for calculating the net asset value,
dividends  and  distributions of, and for allocating  income  and
expenses  to,  various classes of shares of each  of  the  Kemper
Funds  listed  in  Exhibit A attached hereto (the  "Funds").  Our
examination  included  procedures to obtain reasonable  assurance
about  whether (1) the accompanying description presents  fairly,
in  all  material  respects,  the aspects  of  KFS  policies  and
procedures  that  may be relevant to the Funds' internal  control
structure,  (2)  the  control structure policies  and  procedures
included in the description were suitably designed to achieve the
control  objectives  specified  in  the  description,  if   those
policies  and  procedures were complied with satisfactorily,  and
(3) such policies and procedures had been placed in operation  as
of  September 30, 1995.  The control objectives were specified by
KFS.   Our examination was performed in accordance with standards
established  by  the  American  Institute  of  Certified   Public
Accountants and included those procedures we considered necessary
in  the  circumstances to obtain a reasonable basis for rendering
our opinion.

In   our   opinion,   the   accompanying   description   of   the
aforementioned   portions  of  the  internal  control   structure
presents  fairly, in all material respects, the relevant  aspects
of  KFS's  policies  and  procedures  that  had  been  placed  in
operation  as  of September 30, 1995.  Also, in our opinion,  the
policies  and procedures, as described, are suitably designed  to
provide   reasonable   assurance  that  the   specified   control
objectives  would  be  achieved if  the  described  policies  and
procedures were complied with satisfactorily.

In  addition to the procedures we considered necessary to  render
our  opinion as expressed in the previous paragraph,  we  applied
tests to specific policies and procedures, listed in Section III.
The  nature, timing, extent, and results of the tests are  listed
in  Section IV.  This information has been provided to the  Funds
and  to their auditors to be taken into consideration, along with
information  about the internal control structure at  the  Funds,
when  making assessments of control risks for the Funds.  In  our
opinion,  the  policies  and procedures that  were  tested,  were
operating  with  sufficient effectiveness to provide  reasonable,
but not absolute, assurance that the control objectives specified
in Section II were achieved as of September 30, 1995.

The  relative effectiveness and significance of specific policies
and  procedures at KFS and their effect on assessments of control
risk  at  the Funds are dependent on their interaction  with  the
policies, procedures, and other factors present at the Funds.

The  description  and  tests of operating  effectiveness  of  the
policies and procedures at KFS is as of September 30, 1995.   Any
projection  of such information to the future is subject  to  the
risk  that,  because  of change, the description  may  no  longer
portray the system in existence.  The potential effectiveness  of
specified  policies and procedures at KFS is subject to  inherent
limitations and, accordingly, errors or irregularities may  occur
and   not  be  detected.   Furthermore,  the  projection  of  any
conclusions, based on our findings, to future periods is  subject
to  the  risk  that  changes  may  alter  the  validity  of  such
conclusions.

This  report  is intended for use by the management of  KFS,  the
Funds  and  their  auditors,  and  the  Securities  and  Exchange
Commission.



                                                  ERNST & YOUNG
LLP


Chicago, Illinois
October 27, 1995



SECTION I

Description of the System

Kemper Financial Services, Inc. ("KFS") implemented plans which
allow each of the Kemper Funds listed in Exhibit A attached
hereto (the "Funds") to issue multiple classes of shares.

Under   the  multiple  distribution  system,  the  Funds  provide
investors with the option of purchasing shares in any or  all  of
the  following four ways: (i) with a front-end sales load  and  a
service  fee  (the "Front-End Load Option" or "Class A  shares");
(ii)  without a front-end sales load, but subject to a contingent
deferred  sales charge as well as to a distribution fee  pursuant
to  a Rule 12b-1 Plan and to a service fee (the "Deferred Option"
or  "Class  B shares"); (iii) without a front-end sales  load  or
contingent deferred sales charge but subject to a Rule 12b-1 Plan
providing for a distribution fee and to a service fee (the  Level
Load  Option" or "Class C shares"); and (iv) without a  front-end
sales load, contingent deferred sales charge, distribution fee or
service  fee  ("Institutional Option" or "Class I  shares").   In
addition,  the  Funds may from time to time create  one  or  more
additional classes of shares, the terms of which may differ  from
the Class A, B, C and I shares.  Class B shares are converted  to
Class  A  shares six years after issuance.  Class C and I  shares
have no conversion feature.  No Class I shares have been issued.

The  net  asset value of all outstanding shares of each class  is
computed   based  on  the  net  assets  and  shares   outstanding
attributable to each class.  All expenses incurred by  each  Fund
are  allocated to each class based on the relative percentage  of
adjusted  net  assets except for the expenses of the distribution
plan  which are allocated to Class B and C shares, administrative
service fees which are allocated to Class A, B and C shares,  and
class  specific expenses which will be borne exclusively by  that
class.  Due to the specific allocation of expenses that are borne
solely  by certain classes, the net income attributable  to,  and
the dividends paid by, each class may vary.


SECTION II

Specific Control Objectives

Following  are  the specific control objectives  of  each  Fund's
system  of internal accounting control relating to the allocation
of  income, expenses, gains and losses and the calculation of NAV
and dividends/distributions for the four classes of shares:

  1. Direct  expenses  charged  to  each  class  of  shares   are
     correctly  recorded  in  the  Fund  accounting  records  and
     allocated to the correct class of shares.
     
  2. Income, other operating expenses and realized and unrealized
     gains  and  losses are allocated properly to each  class  of
     shares  based upon the relative net assets of each class  of
     shares  at the beginning of the day after adjusting for  the
     prior day's Fund share activity.
     
  3. Dividend  rates and daily per share NAV's for each class  of
     shares reflect the proper allocation of income, expenses and
     realized  and  unrealized gains and  losses,  including  the
     proper  amount of any direct expenses charged to each  class
     of shares.

SECTION III

Procedures to Achieve Specific Control Objectives

The  following additional procedures will be performed  for  each
Fund to meet the specific control objectives:

  1. Preparation   of   the  Multi-Class  Pricing-NAV   Worksheet
     ("Worksheet") daily.
     
  2. A  determination  of  the dividends  by  class  is  made  by
     dividing daily net investment income allocated to each class
     by  the  number of shares of that class eligible to  receive
     dividends (record shares).
     
     The  periodic distribution rate for realized gains  will  be
     determined by taking total net realized gains for each class
     and dividing by total record date shares.
     
  3. Upon completion of the Worksheet and the calculation of  the
     dividend rate, and prior to furnishing the computed NAV  and
     dividend   rate  to  the  Shareholder  Service  Agent,   the
     Worksheet  and calculation will be reviewed for accuracy  by
     an  accounting  supervisor ("Final  Reviewer").   The  Final
     Reviewer  will  initial the Worksheet  as  evidence  of  the
     review.
     
  4. If  the Final Reviewer notes any unusual fluctuation in  the
     NAV or daily dividend rates between the classes of shares of
     a  Fund, he or she will research the matter and document the
     reasons for, and the reasonableness of, the fluctuation.
     
  5. On a monthly basis, a reconciliation of all account balances
     for  each  class  of shares to the general  ledger  will  be
     performed.    The  reconciliation  will  be   reviewed   and
     initialed by the reviewer.


SECTION IV

Tests   of  Effectiveness  of  Control  Structure  Policies   and
Procedures

Our  tests of the effectiveness of control structure policies and
procedures were designed to determine whether:

  1. The description of the KFS' policies and procedures included
     in Section I of this report presents fairly, in all material
     respects,  those aspects of the KFS' control structure  that
     may  be  relevant to a user organization's internal  control
     structure,
     
  2. the  control structure policies and procedures described  in
     Section III of this report were suitably designed to achieve
     the control objectives defined in Section II of this report,
     if   those  policies  and  procedures  were  complied   with
     satisfactorily,
     
  3. the  control structure policies and procedures described  in
     Section  III of this report had been placed in operation  as
     of the date specified, and
     
  4. the control structure policies and procedures were operating
     with sufficient effectiveness to provide reasonable, but not
     absolute,  assurance that the control objectives in  Section
     II were achieved as of September 30, 1995.


Our  tests of the effectiveness of control structure policies and
procedures  included the following procedures, to the  extent  we
considered  necessary:  (a) a review of the  KFS'  organizational
structure,    including    the    segregation    of    functional
responsibilities, policy statements, and personnel policies,  (b)
discussions with management, accounting, administrative and other
personnel  who  are  assigned  responsibilities  for  developing,
ensuring adherence to and applying control structure policies and
procedures,  and (c) observations of personnel in the performance
of their assigned duties.

Our  tests of the effectiveness of control structure policies and
procedures  included such other tests as we considered  necessary
in  the  circumstances  to evaluate whether  those  policies  and
procedures,  and  the  extent  of  compliance  with   them,   are
sufficient  to  provide reasonable, but not  absolute,  assurance
that  the  specified  control  objectives  were  achieved  as  of
September  30,  1995.  Our tests of the operational effectiveness
of  control  structure policies and procedures were  designed  to
cover  the calculation as of September 30, 1995 for each  of  the
procedures  listed  in  Section III  which  satisfy  the  control
objectives  listed  in Section II of this report.   In  selecting
particular  tests  of the operational effectiveness   of  control
structure  policies and procedures, we considered the (a)  nature
of  the  items  being  tested, (b) the kinds  and  competence  of
available  evidential  matter,  (c)  the  nature  of  the   audit
objectives  to  be  achieved, (d) the assessed level  of  control
risk,  and (e) the expected efficiency and effectiveness  of  the
tests.

Tests   of  effectiveness  of  control  structure  policies   and
procedures included:

     Tests   of  source  documentation  to  ensure  validity   of
     information.
     
     Tests  of input and supervisory control procedures in  place
     to  ensure accuracy, completeness, validity and integrity of
     processing.
     
     Tests of recalculation of output to verify accuracy.
     
     Tests  of  output control procedures and resultant documents
     and  reports  relative  to specific calculations  to  ensure
     accurate  and  timely  updates of  accounting  records  were
     achieved.


Testing  procedures were designed and performed to enable  us  to
conclude that the control objectives listed in Section II of this
report were achieved as of
September 30, 1995.




Kemper Funds                                      Exhibit A

September 30, 1995




Kemper National Tax-Free Income Series:
  Kemper Municipal Bond Fund
  Kemper Intermediate Bond Fund











          Exhibit 77C
          Kemper National Tax-Free Income Series
          Form N-SAR for the period ended 9/30/95
          File No. 811-2353
          Page 1


          A  special meeting  of  Registrant's  shareholders  was  held  on
          September  19, 1995.    Votes regarding  the  items submitted  to
          shareholder vote are set forth below.

          Item 1:  Election of the Board of Trustees

                   David W. Belin
                                                   
                       Vote             Number     
                       ----             -----------
                       FOR              247,492,772
                       WITHHELD           6,345,969

                   Lewis A. Burnham
                                                   
                       Vote             Number     
                       ----             -----------
                       FOR              247,645,075
                       WITHHELD           6,193,665
                    
                   Donald L. Dunaway
                                                   
                       Vote             Number     
                       ----             -----------
                       FOR              247,619,691
                       WITHHELD           6,219,049

                   Robert B. Hoffman
                                                   
                       Vote             Number     
                       ----             -----------
                       FOR              247,645,075
                       WITHHELD           6,193,665

                   Donald R. Jones
                                                   
                       Vote             Number     
                       ----             -----------
                       FOR              247,619,691
                       WITHHELD           6,219,049

                   David B. Mathis
                                                   
                       Vote             Number     
                       ----             -----------
                       FOR              247,289,701
                       WITHHELD           6,549,039












          Exhibit 77C
          Kemper National Tax-Free Income Series
          Form N-SAR for the period ended 9/30/95
          File No. 811-2353
          Page 2


                   Shirley D. Peterson
                                                   
                       Vote             Number     
                       ----             -----------
                       FOR              247,238,933
                       WITHHELD           6,599,807

                   William P. Sommers
                                                   
                       Vote             Number     
                       ----             -----------
                       FOR              247,543,539
                       WITHHELD           6,295,201

                   Stephen B. Timbers
                                                   
                       Vote             Number     
                       ----             -----------
                       FOR              247,645,075
                       WITHHELD           6,193,665


          Item 2:  Selection of Independent Auditors

                                                     
                                                     
                       Vote             Number       
                       ----             -----------  
                       FOR              243,201,036  
                       AGAINST            2,666,128  
                       ABSTAIN            5,736,995  




























          Exhibit 77C
          Kemper National Tax-Free Income Series
          Form N-SAR for the period ended 9/30/95
          File No. 811-2353
          Page 3


          Item 3:  New Investment Management Agreement
          Kemper Municipal Bond Fund

                                           
                    Vote         Number    
                    ----         ----------
                    F0R         243,500,156
                    AGAINST       6,069,612
                    ABSTAIN      12,211,998

          Kemper Intermediate Municipal Bond Fund

                                           
                    Vote         Number    
                    ----         ----------
                    F0R           1,047,782
                    AGAINST               0
                    ABSTAIN           9,190


          Item  4B:    New  Rule  12B-1  Distribution  Plan  (For  Class  B
          Shareholders Only)
          Kemper Municipal Bond Fund

                                           
                    Vote         Number    
                    ----         ----------
                    F0R           1,720,054
                    AGAINST          27,311
                    ABSTAIN          82,745

          Kemper Intermediate Municipal Bond Fund

                                           
                    Vote         Number    
                    ----         ----------
                    F0R             150,242
                    AGAINST               0
                    ABSTAIN           9,993




















          Exhibit 77C
          Kemper National Tax-Free Income Series
          Form N-SAR for the period ended 9/30/95
          File No. 811-2353
          Page 4


          Item  4C:    New  Rule  12B-1  Distribution  Plan  (For  Class  C
          Shareholders Only)
          Kemper Municipal Bond Fund

                                           
                    Vote         Number    
                    ----         ----------
                    F0R              54,400
                    AGAINST           1,055
                    ABSTAIN             929


          Kemper Intermediate Municipal Bond Fund

                                         
                    Vote         Number  
                    ----         ----------
                    F0R              66,958
                    AGAINST               0
                    ABSTAIN               0




          MRB|W:\FUNDS\NSAR.EXH\KNTIS995.77C|111795































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