KEMPER NATIONAL TAX FREE INCOME SERIES
NSAR-A, 1995-05-30
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<PAGE>      PAGE  1
000 A000000 03/31/95
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 FINANCIAL SERVICES, INC.
014 B00AA01 8-15830
014 A00AA02 KEMPER SECURITIES, INC.
014 B00AA02 8-837180
014 A00AA03 KEMPER DISTRIBUTORS, INC.
014 B00AA03 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 UNITED MISSOURI BANK, N.A.
015 B00AA02 S
015 C01AA02 KANSAS CITY
015 C02AA02 MO
015 C03AA02 64106
015 E01AA02 X
015 A00AA03 STATE STREET BANK AND TRUST COMPANY
015 B00AA03 S
015 C01AA03 BOSTON
015 C02AA03 MA
015 C03AA03 02110
015 E01AA03 X
018  00AA00 Y
019 A00AA00 Y
019 B00AA00   45
019 C00AA00 KEMPERFNDS
020 A000001 DEAN WITTER REYNOLDS, INC.
020 B000001 94-1671384
020 C000001    614
020 A000002 LIT OF FIRST CHICAGO
020 B000002 UNKNOWN
020 C000002     68
020 A000003 MERRILL LYNCH, PIERCE, FENNER AND SMITH INC.
020 B000003 13-5674085
020 C000003     54
020 A000004 GOLDMAN, SACHS & CO.
020 B000004 13-5108880
020 C000004     19
020 A000005 LEHMAN BROTHERS INC.
<PAGE>      PAGE  3
020 B000005 13-2518466
020 C000005     12
020 C000006      0
020 C000007      0
020 C000008      0
020 C000009      0
020 C000010      0
021  000000      767
022 A000001 WILLIAM E. SIMON & SONS MUNICIPAL SECURITIES
022 B000001 22-3017217
022 C000001    593718
022 D000001    478897
022 A000002 THE FIRST BOSTON CORPORATION
022 B000002 13-5659485
022 C000002    487382
022 D000002    388634
022 A000003 MERRILL LYNCH, PIERCE, FENNER AND SMITH INC.
022 B000003 13-5674085
022 C000003    271895
022 D000003    257917
022 A000004 LEHMAN BROTHERS, INC.
022 B000004 13-2518466
022 C000004    115369
022 D000004    269533
022 A000005 MORGAN STANLEY & CO. INCORPORATED
022 B000005 13-2655998
022 C000005     80087
022 D000005    145705
022 A000006 GOLDMAN, SACHS & CO.
022 B000006 13-5108880
022 C000006    128916
022 D000006     69402
022 A000007 SMITH BARNEY SHEARSON INC.
022 B000007 13-1912900
022 C000007     45100
022 D000007     86033
022 A000008 J.P. MORGAN SECURITIES INC.
022 B000008 13-3224016
022 C000008     30055
022 D000008     45415
022 A000009 PAINEWEBBER INCORPORATED
022 B000009 13-2638166
022 C000009     34433
022 D000009     30049
022 A000010 ABN AMRO SECURITIES (USA) INC.
022 B000010 13-3227945
022 C000010     36046
022 D000010     24895
023 C000000    2018995
023 D000000    2019688
024  00AA00 N
<PAGE>      PAGE  4
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025 D00AA02       0
025 D00AA03       0
025 D00AA04       0
025 D00AA05       0
025 D00AA06       0
025 D00AA07       0
025 D00AA08       0
026 A000000 Y
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026 G010000 N
026 G020000 N
026 H000000 N
027  000000 Y
034  00AA00 Y
035  00AA00     46
036 A00AA00 Y
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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
<PAGE>      PAGE  5
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
077 A000000 N
078  000000 N
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082 B00AA00        0
083 B00AA00        0
084 B00AA00        0
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086 A02AA00      0
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<PAGE>      PAGE  6
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030 B000100  4.50
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033  000100    123
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042 G000100   0
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045  000100 Y
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048 F020100 0.360
048 G010100  2500000
048 G020100 0.340
048 H010100        0
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
<PAGE>      PAGE  7
062 A000100 Y
062 B000100   0.0
062 C000100   0.0
062 D000100   0.0
062 E000100   1.6
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  97.8
062 P000100   0.0
062 Q000100   0.0
062 R000100   0.0
063 A000100   0
063 B000100 14.0
064 A000100 N
064 B000100 N
070 A010100 Y
070 A020100 N
070 B010100 N
070 B020100 N
070 C010100 Y
070 C020100 N
070 D010100 N
070 D020100 N
070 E010100 Y
070 E020100 N
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
<PAGE>      PAGE  8
070 O020100 N
070 P010100 N
070 P020100 N
070 Q010100 N
070 Q020100 N
070 R010100 N
070 R020100 N
071 A000100   1300436
071 B000100   1452607
071 C000100   3404729
071 D000100   76
072 A000100  6
072 B000100   113403
072 C000100        0
072 D000100        0
072 E000100        0
072 F000100     7301
072 G000100     2330
072 H000100        0
072 I000100        0
072 J000100     1414
072 K000100        0
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072 M000100       18
072 N000100       47
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072 S000100       15
072 T000100       71
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072 Y000100        0
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072BB000100    83463
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072CC020100   142260
072DD010100   101554
072DD020100      454
072EE000100    12759
073 A010100   0.0000
073 A020100   0.0000
073 B000100   0.0400
073 C000100   0.0000
074 A000100        0
074 B000100        0
074 C000100    56800
<PAGE>      PAGE  9
074 D000100  3505314
074 E000100        0
074 F000100        0
074 G000100        0
074 H000100        0
074 I000100        0
074 J000100    76145
074 K000100        0
074 L000100    64707
074 M000100        0
074 N000100  3702966
074 O000100   108978
074 P000100     2145
074 Q000100        0
074 R010100        0
074 R020100        0
074 R030100        0
074 R040100     7292
074 S000100        0
074 T000100  3584551
074 U010100   357398
074 U020100     2753
074 V010100     0.00
074 V020100     0.00
074 W000100   0.0000
074 X000100    93518
074 Y000100     5533
075 A000100        0
075 B000100  3547565
076  000100     0.00
028 A010200         0
028 A020200         0
028 A030200         0
028 A040200         0
028 B010200      3645
028 B020200         6
028 B030200         0
028 B040200        61
028 C010200      5725
028 C020200        18
028 C030200         0
028 C040200        45
028 D010200      1130
028 D020200        40
028 D030200         0
028 D040200       201
028 E010200       627
028 E020200        31
028 E030200         0
028 E040200       753
028 F010200      1209
<PAGE>      PAGE  10
028 F020200        41
028 F030200         0
028 F040200       631
028 G010200     12336
028 G020200       136
028 G030200         0
028 G040200      1691
028 H000200      2077
029  000200 Y
030 A000200     30
030 B000200  2.75
030 C000200  0.00
031 A000200      5
031 B000200      0
032  000200     16
033  000200      9
042 A000200   0
042 B000200   0
042 C000200   0
042 D000200   0
042 E000200   0
042 F000200   0
042 G000200   0
042 H000200 100
043  000200      7
044  000200    108
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
<PAGE>      PAGE  11
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  98.9
062 P000200   0.0
062 Q000200   0.0
062 R000200   0.0
063 A000200   0
063 B000200  7.7
064 A000200 N
064 B000200 N
070 A010200 Y
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
<PAGE>      PAGE  12
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     11944
071 B000200      1183
071 C000200      8850
071 D000200   32
072 A000200  5
072 B000200      191
072 C000200        0
072 D000200        0
072 E000200        0
072 F000200       19
072 G000200        5
072 H000200        0
072 I000200        0
072 J000200        4
072 K000200        0
072 L000200        0
072 M000200        0
072 N000200        0
072 O000200        0
072 P000200        0
072 Q000200        0
072 R000200        0
072 S000200        1
072 T000200        7
072 U000200        0
072 V000200        0
072 W000200        5
072 X000200       41
072 Y000200       19
072 Z000200      169
072AA000200       22
072BB000200        8
072CC010200      461
072CC020200        0
072DD010200      128
072DD020200       41
072EE000200        0
073 A010200   0.0000
073 A020200   0.0000
073 B000200   0.0000
073 C000200   0.0000
074 A000200        0
074 B000200        0
<PAGE>      PAGE  13
074 C000200        0
074 D000200    11236
074 E000200        0
074 F000200        0
074 G000200        0
074 H000200        0
074 I000200        0
074 J000200        0
074 K000200        0
074 L000200      205
074 M000200        0
074 N000200    11441
074 O000200        0
074 P000200        7
074 Q000200        0
074 R010200        0
074 R020200        0
074 R030200        0
074 R040200       78
074 S000200        0
074 T000200    11356
074 U010200      862
074 U020200      282
074 V010200     0.00
074 V020200     0.00
074 W000200   0.0000
074 X000200      219
074 Y000200        0
075 A000200        0
075 B000200     9174
076  000200     0.00
SIGNATURE   JEROME L. DUFFY                              
TITLE       TREASURER           
 


<TABLE> <S> <C>

<ARTICLE> 6
<LEGEND>
PER SHARES AND RATION 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 SEMI-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>                   6-MOS
<FISCAL-YEAR-END>                          SEP-30-1995
<PERIOD-END>                               MAR-31-1995
<INVESTMENTS-AT-COST>                        3,435,653
<INVESTMENTS-AT-VALUE>                       3,562,114
<RECEIVABLES>                                  140,852
<ASSETS-OTHER>                                       0
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                               3,702,966
<PAYABLE-FOR-SECURITIES>                       108,978
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                        9,437
<TOTAL-LIABILITIES>                            118,415
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                     3,507,134
<SHARES-COMMON-STOCK>                                0
<SHARES-COMMON-PRIOR>                                0
<ACCUMULATED-NII-CURRENT>                            0
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                       (49,044)
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                       126,461
<NET-ASSETS>                                 3,584,551
<DIVIDEND-INCOME>                                    0
<INTEREST-INCOME>                              113,403
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                (11,464)
<NET-INVESTMENT-INCOME>                        101,939
<REALIZED-GAINS-CURRENT>                      (39,240)
<APPREC-INCREASE-CURRENT>                      142,260
<NET-CHANGE-FROM-OPS>                          204,959
<EQUALIZATION>                                       0
<DISTRIBUTIONS-OF-INCOME>                    (102,008)
<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>                       (132,446)
<ACCUMULATED-NII-PRIOR>                              0
<ACCUMULATED-GAINS-PRIOR>                            0
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                          (7,301)
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                               (11,464)
<AVERAGE-NET-ASSETS>                         3,547,565
<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 SEMI-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> 1000
       
<S>                             <C>
<PERIOD-TYPE>                   6-MOS
<FISCAL-YEAR-END>                          SEP-30-1995
<PERIOD-END>                               MAR-31-1995
<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>                          357,399
<SHARES-COMMON-PRIOR>                          382,539
<ACCUMULATED-NII-CURRENT>                            0
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                              0
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                             0
<NET-ASSETS>                                 3,557,223
<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>                         11,459
<NUMBER-OF-SHARES-REDEEMED>                   (44,387)
<SHARES-REINVESTED>                              7,788
<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>                                    .27
<PER-SHARE-GAIN-APPREC>                            .31
<PER-SHARE-DIVIDEND>                             (.28)
<PER-SHARE-DISTRIBUTIONS>                        (.04)
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                               9.95
<EXPENSE-RATIO>                                   .006
<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 SEMI-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>                   6-MOS
<FISCAL-YEAR-END>                          SEP-30-1995
<PERIOD-END>                               MAR-31-1995
<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>                            2,657
<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>                                    26,371
<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>                          1,854
<NUMBER-OF-SHARES-REDEEMED>                      (360)
<SHARES-REINVESTED>                                 38
<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>                                    .22
<PER-SHARE-GAIN-APPREC>                            .31
<PER-SHARE-DIVIDEND>                             (.23)
<PER-SHARE-DISTRIBUTIONS>                        (.04)
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                               9.93
<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 FINANCIAL
INFORMATION EXTRACTED FROM THE SEMI-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>                   6-MOS
<FISCAL-YEAR-END>                          SEP-30-1995
<PERIOD-END>                               MAR-31-1995
<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>                               96
<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>                                       957
<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>                             42
<NUMBER-OF-SHARES-REDEEMED>                       (35)
<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>                             9.69
<PER-SHARE-NII>                                    .24
<PER-SHARE-GAIN-APPREC>                            .31
<PER-SHARE-DIVIDEND>                             (.24)
<PER-SHARE-DISTRIBUTIONS>                        (.04)
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                               9.96
<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 SEM-ANNUAL REPORT TO SHAREHOLDERS
AND IS QUALIFIED IN ITS ENTIRETY BY REFERNCE TO SUCH FINANCIAL STATEMENTS.
</LEGEND>
<CIK> 0000055190
<NAME> KEMPER NATIONAL TAX-FREE INCOME SERIES
<SERIES>
   <NUMBER> 20
   <NAME> KEMPER INTERMEDIATE MUNICIPAL BOND FUND - COMBINED
<MULTIPLIER> 1000
       
<S>                             <C>
<PERIOD-TYPE>                   5-MOS
<FISCAL-YEAR-END>                          SEP-30-1995
<PERIOD-END>                               MAR-31-1995
<INVESTMENTS-AT-COST>                           10,775
<INVESTMENTS-AT-VALUE>                          11,236
<RECEIVABLES>                                      205
<ASSETS-OTHER>                                       0
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                                  11,441
<PAYABLE-FOR-SECURITIES>                             0
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                           85
<TOTAL-LIABILITIES>                                 85
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                        10,881
<SHARES-COMMON-STOCK>                                0
<SHARES-COMMON-PRIOR>                                0
<ACCUMULATED-NII-CURRENT>                            0
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                             14
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                           461
<NET-ASSETS>                                    11,356
<DIVIDEND-INCOME>                                    0
<INTEREST-INCOME>                                  191
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                    (22)
<NET-INVESTMENT-INCOME>                            169
<REALIZED-GAINS-CURRENT>                            14
<APPREC-INCREASE-CURRENT>                          461
<NET-CHANGE-FROM-OPS>                              644
<EQUALIZATION>                                       0
<DISTRIBUTIONS-OF-INCOME>                        (169)
<DISTRIBUTIONS-OF-GAINS>                             0
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                              0
<NUMBER-OF-SHARES-REDEEMED>                          0
<SHARES-REINVESTED>                                  0
<NET-CHANGE-IN-ASSETS>                          11,256
<ACCUMULATED-NII-PRIOR>                              0
<ACCUMULATED-GAINS-PRIOR>                            0
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                             (19)
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                   (41)
<AVERAGE-NET-ASSETS>                             9,174
<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 SEMI-ANNUAL REPORT TO SHAREHOLDERS
AND IS QUALIFIED IN IT 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>                   5-MOS
<FISCAL-YEAR-END>                          SEP-30-1995
<PERIOD-END>                               MAR-31-1995
<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>                              863
<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>                                     8,556
<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>                            997
<NUMBER-OF-SHARES-REDEEMED>                      (145)
<SHARES-REINVESTED>                                 11
<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>                                    .21
<PER-SHARE-GAIN-APPREC>                            .42
<PER-SHARE-DIVIDEND>                             (.21)
<PER-SHARE-DISTRIBUTIONS>                            0
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                               9.92
<EXPENSE-RATIO>                                   .003
<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
INFORMATION EXTRACTED FROM THE 1995 SEMI-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>                   5-MOS
<FISCAL-YEAR-END>                          SEP-30-1995
<PERIOD-END>                               MAR-31-1995
<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>                              217
<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>                                     2,155
<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>                            243
<NUMBER-OF-SHARES-REDEEMED>                       (28)
<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>                                    .17
<PER-SHARE-GAIN-APPREC>                            .42
<PER-SHARE-DIVIDEND>                             (.17)
<PER-SHARE-DISTRIBUTIONS>                            0
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                               9.92
<EXPENSE-RATIO>                                   .013
<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
INFORMATION EXTRACTED FROM THE 1995 SEMI-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>                   5-MOS
<FISCAL-YEAR-END>                          SEP-30-1995
<PERIOD-END>                               MAR-31-1995
<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>                               65
<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>                                       645
<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>                             65
<NUMBER-OF-SHARES-REDEEMED>                        (1)
<SHARES-REINVESTED>                                  1
<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>                                    .17
<PER-SHARE-GAIN-APPREC>                            .42
<PER-SHARE-DIVIDEND>                             (.17)
<PER-SHARE-DISTRIBUTIONS>                            0
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                               9.92
<EXPENSE-RATIO>                                   .012
<AVG-DEBT-OUTSTANDING>                               0
<AVG-DEBT-PER-SHARE>                                 0
        

</TABLE>


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