KEMPER NATIONAL TAX FREE INCOME SERIES
NSAR-A, 1996-05-29
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<PAGE>      PAGE  1
000 A000000 03/31/96
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 ZURICH KEMPER INVESTMENTS, 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
014 A00AA02 GRUNTAL SECURITIES, INC.
014 B00AA02 8-31022
014 A00AA03 THE GMS GROUP, INC.
014 B00AA03 8-23936
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   57
019 C00AA00 KEMPERFNDS
020 A000001 LIT OF 1ST CHICAGO
020 B000001 UNKNOWN
020 C000001     37
020 A000002 DEAN WITTER REYNOLDS, INC.
020 B000002 94-1671384
020 C000002     25
020 C000003      0
020 C000004      0
020 C000005      0
020 C000006      0
020 C000007      0
020 C000008      0
020 C000009      0
020 C000010      0
021  000000       62
022 A000001 LEHMAN BROTHERS, INC.
022 B000001 13-2518466
022 C000001    604453
022 D000001    512697
<PAGE>      PAGE  3
022 A000002 WILLIAM E. SIMON & SONS MUNICIPAL SECURITIES
022 B000002 22-3017217
022 C000002    668440
022 D000002    312807
022 A000003 GOLDMAN, SACHS & CO.
022 B000003 13-5108880
022 C000003    463378
022 D000003    166944
022 A000004 MERRILL LYNCH, PIERCE, FENNER & SMITH INC.
022 B000004 13-5674085
022 C000004    218332
022 D000004    350478
022 A000005 J.P. MORGAN SECURITIES INC.
022 B000005 13-3224016
022 C000005     89753
022 D000005    248488
022 A000006 MORGAN STANLEY & CO. INCORPORATED
022 B000006 13-2655998
022 C000006    117890
022 D000006    186165
022 A000007 SMITH BARNEY SHEARSON INC.
022 B000007 13-1912900
022 C000007     87998
022 D000007    118607
022 A000008 PAINEWEBBER INCORPORATED
022 B000008 13-2638166
022 C000008     83746
022 D000008     66399
022 A000009 OPPENHEIMER & CO., INC.
022 B000009 13-2798343
022 C000009     24458
022 D000009    124540
022 A000010 ABN AMRO SECURITIES (USA) INC.
022 B000010 13-3227945
022 C000010     44422
022 D000010    101390
023 C000000    2698659
023 D000000    2569576
024  00AA00 N
025 D00AA01       0
025 D00AA02       0
025 D00AA03       0
025 D00AA04       0
025 D00AA05       0
025 D00AA06       0
025 D00AA07       0
025 D00AA08       0
026 A000000 Y
026 B000000 Y
026 C000000 Y
026 D000000 Y
<PAGE>      PAGE  4
026 E000000 N
026 F000000 N
026 G010000 N
026 G020000 N
026 H000000 N
027  000000 Y
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 N
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
077 A000000 Y
077 B000000 N
077 C000000 N
077 D000000 N
077 E000000 N
077 F000000 N
<PAGE>      PAGE  5
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 Y
077 Q020000 N
077 Q030000 N
078  000000 N
080 C00AA00        0
081 B00AA00   0
082 B00AA00        0
083 B00AA00        0
084 B00AA00        0
086 A010000      0
086 A020000      0
086 B010000      0
086 B020000      0
086 C010000      0
086 C020000      0
086 D010000      0
086 D020000      0
086 E010000      0
086 E020000      0
086 F010000      0
086 F020000      0
086 A01AA00      0
086 A02AA00      0
086 B01AA00      0
086 B02AA00      0
086 C01AA00      0
086 C02AA00      0
086 D01AA00      0
086 D02AA00      0
086 E01AA00      0
086 E02AA00      0
086 F01AA00      0
086 F02AA00      0
028 A010100     20257
028 A020100     10042
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028 B020100     10025
028 B030100         0
028 B040100     37268
<PAGE>      PAGE  6
028 C010100     11506
028 C020100     13659
028 C030100         0
028 C040100     55857
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028 D020100     10771
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028 E020100      9195
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028 F020100      9689
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028 G020100     63381
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031 B000100      0
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033  000100     92
042 A000100   0
042 B000100   0
042 C000100   0
042 D000100   0
042 E000100   0
042 F000100   0
042 G000100   0
042 H000100 100
043  000100    146
044  000100    831
045  000100 Y
046  000100 N
047  000100 Y
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048 A020100 0.450
048 B010100   750000
048 B020100 0.430
048 C010100  1500000
048 C020100 0.410
048 D010100  2500000
048 D020100 0.400
048 E010100  2500000
048 E020100 0.380
048 F010100  2500000
048 F020100 0.360
<PAGE>      PAGE  7
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
062 A000100 Y
062 B000100   0.0
062 C000100   0.0
062 D000100   0.0
062 E000100   0.0
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  91.8
062 P000100   0.0
062 Q000100   0.0
062 R000100   0.0
063 A000100   0
063 B000100 17.3
064 A000100 Y
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 Y
070 F010100 N
070 F020100 N
070 G010100 Y
070 G020100 N
070 H010100 N
070 H020100 N
070 I010100 N
070 I020100 N
070 J010100 Y
<PAGE>      PAGE  8
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   1905245
071 B000100   2087364
071 C000100   3397067
071 D000100  112
072 A000100  6
072 B000100   104811
072 C000100        0
072 D000100        0
072 E000100        0
072 F000100     7324
072 G000100     2666
072 H000100        0
072 I000100        0
072 J000100     1351
072 K000100        0
072 L000100      141
072 M000100       28
072 N000100        7
072 O000100        0
072 P000100        0
072 Q000100        0
072 R000100       33
072 S000100       13
072 T000100      146
072 U000100        0
072 V000100        0
072 W000100      126
072 X000100    11835
072 Y000100        0
072 Z000100    92976
072AA000100    77145
072BB000100    13258
072CC010100        0
072CC020100    47477
<PAGE>      PAGE  9
072DD010100    92125
072DD020100      851
072EE000100     8498
073 A010100   0.0000
073 A020100   0.0000
073 B000100   0.0100
073 C000100   0.0000
074 A000100   262125
074 B000100        0
074 C000100        0
074 D000100  3130318
074 E000100        0
074 F000100        0
074 G000100        0
074 H000100        0
074 I000100        0
074 J000100    35201
074 K000100        0
074 L000100    53528
074 M000100        0
074 N000100  3481172
074 O000100    62076
074 P000100     1616
074 Q000100        0
074 R010100        0
074 R020100        0
074 R030100        0
074 R040100     5804
074 S000100        0
074 T000100  3411676
074 U010100   331626
074 U020100     3824
074 V010100     0.00
074 V020100     0.00
074 W000100   0.0000
074 X000100    86362
074 Y000100        0
075 A000100        0
075 B000100  3532578
076  000100     0.00
028 A010200       700
028 A020200        47
028 A030200         0
028 A040200       255
028 B010200       953
028 B020200        43
028 B030200         0
028 B040200       664
028 C010200       638
028 C020200       135
028 C030200         0
<PAGE>      PAGE  10
028 C040200        49
028 D010200       834
028 D020200        48
028 D030200         0
028 D040200       248
028 E010200       444
028 E020200        44
028 E030200         0
028 E040200        64
028 F010200       690
028 F020200        45
028 F030200         0
028 F040200       231
028 G010200      4259
028 G020200       362
028 G030200         0
028 G040200      1511
028 H000200      1277
031 A000200      3
031 B000200      0
032  000200     18
033  000200      1
034  000200 Y
035  000200      2
036 A000200 N
036 B000200      0
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     16
044  000200    111
045  000200 Y
046  000200 N
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
<PAGE>      PAGE  11
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  92.3
062 P000200   0.0
062 Q000200   0.0
062 R000200   0.0
063 A000200   0
063 B000200  9.1
064 A000200 Y
064 B000200 N
070 A010200 N
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 Y
070 F010200 N
070 F020200 N
070 G010200 Y
070 G020200 N
070 H010200 N
070 H020200 N
070 I010200 N
070 I020200 N
<PAGE>      PAGE  12
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      5539
071 B000200      3621
071 C000200     16958
071 D000200   43
072 A000200  6
072 B000200      469
072 C000200        0
072 D000200        0
072 E000200        0
072 F000200       48
072 G000200       20
072 H000200        0
072 I000200        0
072 J000200       12
072 K000200        0
072 L000200        3
072 M000200        0
072 N000200        2
072 O000200        0
072 P000200        0
072 Q000200        0
072 R000200        3
072 S000200        0
072 T000200       16
072 U000200        0
072 V000200        0
072 W000200        8
072 X000200      112
072 Y000200       17
072 Z000200      374
072AA000200       62
072BB000200       13
072CC010200        0
<PAGE>      PAGE  13
072CC020200      106
072DD010200      298
072DD020200       76
072EE000200        0
073 A010200   0.0000
073 A020200   0.0000
073 B000200   0.0000
073 C000200   0.0000
074 A000200     1173
074 B000200        0
074 C000200        0
074 D000200    17291
074 E000200        0
074 F000200        0
074 G000200        0
074 H000200        0
074 I000200        0
074 J000200        0
074 K000200        0
074 L000200      305
074 M000200        0
074 N000200    18769
074 O000200        8
074 P000200       13
074 Q000200        0
074 R010200        0
074 R020200        0
074 R030200        0
074 R040200       22
074 S000200        0
074 T000200    18726
074 U010200     1395
074 U020200      461
074 V010200     0.00
074 V020200     0.00
074 W000200   0.0000
074 X000200      363
074 Y000200        0
075 A000200        0
075 B000200    17630
076  000200     0.00
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 1996 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> 011
   <NAME> KEMPER MUNICIPAL BOND FUND - CLASS A
<MULTIPLIER> 1000
       
<S>                             <C>
<PERIOD-TYPE>                   6-MOS
<FISCAL-YEAR-END>                          SEP-30-1996
<PERIOD-START>                             OCT-01-1995
<PERIOD-END>                               MAR-31-1996
<INVESTMENTS-AT-COST>                        3,015,041
<INVESTMENTS-AT-VALUE>                       3,130,318
<RECEIVABLES>                                   88,729
<ASSETS-OTHER>                                       0
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                               3,481,172
<PAYABLE-FOR-SECURITIES>                        62,076
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                        7,420
<TOTAL-LIABILITIES>                             69,496
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                     3,255,238
<SHARES-COMMON-STOCK>                          331,626
<SHARES-COMMON-PRIOR>                          342,297
<ACCUMULATED-NII-CURRENT>                            0
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                         41,161
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                       115,277
<NET-ASSETS>                                 3,411,676
<DIVIDEND-INCOME>                                    0
<INTEREST-INCOME>                              104,811
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                (11,835)
<NET-INVESTMENT-INCOME>                         92,976
<REALIZED-GAINS-CURRENT>                        65,316
<APPREC-INCREASE-CURRENT>                     (47,477)
<NET-CHANGE-FROM-OPS>                          110,815
<EQUALIZATION>                                       0
<DISTRIBUTIONS-OF-INCOME>                     (92,125)
<DISTRIBUTIONS-OF-GAINS>                       (8,406)
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                         11,298
<NUMBER-OF-SHARES-REDEEMED>                   (28,059)
<SHARES-REINVESTED>                              6,090
<NET-CHANGE-IN-ASSETS>                        (98,972)
<ACCUMULATED-NII-PRIOR>                              0
<ACCUMULATED-GAINS-PRIOR>                     (15,657)
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                            7,324
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                 11,835
<AVERAGE-NET-ASSETS>                         3,532,578
<PER-SHARE-NAV-BEGIN>                            10.15
<PER-SHARE-NII>                                    .27
<PER-SHARE-GAIN-APPREC>                            .05
<PER-SHARE-DIVIDEND>                             (.27)
<PER-SHARE-DISTRIBUTIONS>                        (.03)
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                              10.17
<EXPENSE-RATIO>                                    .65
<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 SEMIANNUAL 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> 012
   <NAME> KEMPER MUNICIPAL BOND FUND - CLASS B
<MULTIPLIER> 1000
       
<S>                             <C>
<PERIOD-TYPE>                   6-MOS
<FISCAL-YEAR-END>                          SEP-30-1996
<PERIOD-START>                             OCT-01-1995
<PERIOD-END>                               MAR-31-1996
<INVESTMENTS-AT-COST>                        3,015,041
<INVESTMENTS-AT-VALUE>                       3,130,318
<RECEIVABLES>                                   88,729
<ASSETS-OTHER>                                       0
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                               3,481,172
<PAYABLE-FOR-SECURITIES>                        62,076
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                        7,420
<TOTAL-LIABILITIES>                             69,496
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                     3,255,238
<SHARES-COMMON-STOCK>                            3,546
<SHARES-COMMON-PRIOR>                            3,429
<ACCUMULATED-NII-CURRENT>                            0
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                         41,161
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                       115,277
<NET-ASSETS>                                 3,411,676
<DIVIDEND-INCOME>                                    0
<INTEREST-INCOME>                              104,811
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                (11,835)
<NET-INVESTMENT-INCOME>                         92,976
<REALIZED-GAINS-CURRENT>                        65,316
<APPREC-INCREASE-CURRENT>                     (47,477)
<NET-CHANGE-FROM-OPS>                          110,815
<EQUALIZATION>                                       0
<DISTRIBUTIONS-OF-INCOME>                        (797)
<DISTRIBUTIONS-OF-GAINS>                          (86)
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                          1,225
<NUMBER-OF-SHARES-REDEEMED>                    (1,168)
<SHARES-REINVESTED>                                 60
<NET-CHANGE-IN-ASSETS>                        (98,972)
<ACCUMULATED-NII-PRIOR>                              0
<ACCUMULATED-GAINS-PRIOR>                     (15,657)
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                            7,324
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                 11,835
<AVERAGE-NET-ASSETS>                         3,532,578
<PER-SHARE-NAV-BEGIN>                            10.13
<PER-SHARE-NII>                                    .23
<PER-SHARE-GAIN-APPREC>                            .05
<PER-SHARE-DIVIDEND>                             (.23)
<PER-SHARE-DISTRIBUTIONS>                        (.03)
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                              10.15
<EXPENSE-RATIO>                                   1.54
<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 1996 SEMIANNUAL 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> 013
   <NAME> KEMPR MUNICIPAL BOND FUND - CLASS C
<MULTIPLIER> 1000
       
<S>                             <C>
<PERIOD-TYPE>                   6-MOS
<FISCAL-YEAR-END>                          SEP-30-1996
<PERIOD-START>                             OCT-01-1995
<PERIOD-END>                               MAR-31-1996
<INVESTMENTS-AT-COST>                        3,015,041
<INVESTMENTS-AT-VALUE>                       3,130,318
<RECEIVABLES>                                   88,729
<ASSETS-OTHER>                                       0
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                               3,481,172
<PAYABLE-FOR-SECURITIES>                        62,076
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                        7,420
<TOTAL-LIABILITIES>                             69,496
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                     3,255,238
<SHARES-COMMON-STOCK>                              278
<SHARES-COMMON-PRIOR>                              157
<ACCUMULATED-NII-CURRENT>                            0
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                         41,161
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                       115,277
<NET-ASSETS>                                 3,411,676
<DIVIDEND-INCOME>                                    0
<INTEREST-INCOME>                              104,811
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                (11,835)
<NET-INVESTMENT-INCOME>                         92,976
<REALIZED-GAINS-CURRENT>                        65,316
<APPREC-INCREASE-CURRENT>                     (47,477)
<NET-CHANGE-FROM-OPS>                          110,815
<EQUALIZATION>                                       0
<DISTRIBUTIONS-OF-INCOME>                         (53)
<DISTRIBUTIONS-OF-GAINS>                           (6)
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                            159
<NUMBER-OF-SHARES-REDEEMED>                       (44)
<SHARES-REINVESTED>                                  5
<NET-CHANGE-IN-ASSETS>                        (98,972)
<ACCUMULATED-NII-PRIOR>                              0
<ACCUMULATED-GAINS-PRIOR>                     (15,657)
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                            7,324
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                 11,835
<AVERAGE-NET-ASSETS>                         3,532,578
<PER-SHARE-NAV-BEGIN>                            10.16
<PER-SHARE-NII>                                    .23
<PER-SHARE-GAIN-APPREC>                            .05
<PER-SHARE-DIVIDEND>                             (.23)
<PER-SHARE-DISTRIBUTIONS>                        (.03)
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                              10.18
<EXPENSE-RATIO>                                   1.50
<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 1996 SEMI-ANNUAL REPORT TO SHARHOLDERS
AND IS QUALIFIED IN ITS ENTIRETY BY REFERENCE TO SUCH FINANCIAL STATEMENTS.
</LEGEND>
<CIK> 0000055190
<NAME> KEMPER NATIONAL TAX-FREE INCOME SERIES
<SERIES>
   <NUMBER> 021
   <NAME> KEMPER INTERMEDIATE MUNICIPAL BOND FUND - CLASS A
<MULTIPLIER> 1000
       
<S>                             <C>
<PERIOD-TYPE>                   6-MOS
<FISCAL-YEAR-END>                          SEP-30-1996
<PERIOD-START>                             OCT-01-1995
<PERIOD-END>                               MAR-31-1996
<INVESTMENTS-AT-COST>                           16,686
<INVESTMENTS-AT-VALUE>                          17,291
<RECEIVABLES>                                      305
<ASSETS-OTHER>                                   1,173
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                                  18,769
<PAYABLE-FOR-SECURITIES>                             8
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                           35
<TOTAL-LIABILITIES>                                 43
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                        18,096
<SHARES-COMMON-STOCK>                            1,395
<SHARES-COMMON-PRIOR>                            1,258
<ACCUMULATED-NII-CURRENT>                            0
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                             25
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                           605
<NET-ASSETS>                                    18,726
<DIVIDEND-INCOME>                                    0
<INTEREST-INCOME>                                  469
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                    (95)
<NET-INVESTMENT-INCOME>                            374
<REALIZED-GAINS-CURRENT>                            49
<APPREC-INCREASE-CURRENT>                        (106)
<NET-CHANGE-FROM-OPS>                              317
<EQUALIZATION>                                       0
<DISTRIBUTIONS-OF-INCOME>                        (298)
<DISTRIBUTIONS-OF-GAINS>                         (120)
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                            229
<NUMBER-OF-SHARES-REDEEMED>                      (120)
<SHARES-REINVESTED>                                 28
<NET-CHANGE-IN-ASSETS>                           2,557
<ACCUMULATED-NII-PRIOR>                              0
<ACCUMULATED-GAINS-PRIOR>                          110
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                               48
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                    112
<AVERAGE-NET-ASSETS>                            17,630
<PER-SHARE-NAV-BEGIN>                            10.18
<PER-SHARE-NII>                                    .23
<PER-SHARE-GAIN-APPREC>                          (.01)
<PER-SHARE-DIVIDEND>                             (.23)
<PER-SHARE-DISTRIBUTIONS>                        (.08)
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                              10.09
<EXPENSE-RATIO>                                    .89
<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 1996 SEMI-ANNUAL REPORT TO
SHAREHOLDERS AND IS QUALIFIED IN ITS ENTIRETY TO SUCH FINANCIAL STATEMENTS.
</LEGEND>
<CIK> 0000055190
<NAME> KEMPER NATIONAL TAX-FREE INCOME SERIES
<SERIES>
   <NUMBER> 022
   <NAME> KEMPER INTERMEDIATE MUNICIPAL BOND FUND - CLASS B
<MULTIPLIER> 1000
       
<S>                             <C>
<PERIOD-TYPE>                   6-MOS
<FISCAL-YEAR-END>                          SEP-30-1996
<PERIOD-START>                             OCT-01-1995
<PERIOD-END>                               MAR-31-1996
<INVESTMENTS-AT-COST>                           16,686
<INVESTMENTS-AT-VALUE>                          17,291
<RECEIVABLES>                                      305
<ASSETS-OTHER>                                   1,173
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                                  18,769
<PAYABLE-FOR-SECURITIES>                             8
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                           35
<TOTAL-LIABILITIES>                                 43
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                        18,096
<SHARES-COMMON-STOCK>                              382
<SHARES-COMMON-PRIOR>                              261
<ACCUMULATED-NII-CURRENT>                            0
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                             25
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                           605
<NET-ASSETS>                                    18,726
<DIVIDEND-INCOME>                                    0
<INTEREST-INCOME>                                  469
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                    (95)
<NET-INVESTMENT-INCOME>                            374
<REALIZED-GAINS-CURRENT>                            49
<APPREC-INCREASE-CURRENT>                        (106)
<NET-CHANGE-FROM-OPS>                              317
<EQUALIZATION>                                       0
<DISTRIBUTIONS-OF-INCOME>                         (59)
<DISTRIBUTIONS-OF-GAINS>                         (26)
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                            131
<NUMBER-OF-SHARES-REDEEMED>                       (15)
<SHARES-REINVESTED>                                  5
<NET-CHANGE-IN-ASSETS>                           2,557
<ACCUMULATED-NII-PRIOR>                              0
<ACCUMULATED-GAINS-PRIOR>                          110
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                               48
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                    112
<AVERAGE-NET-ASSETS>                            17,630
<PER-SHARE-NAV-BEGIN>                            10.18
<PER-SHARE-NII>                                    .19
<PER-SHARE-GAIN-APPREC>                          (.01)
<PER-SHARE-DIVIDEND>                             (.19)
<PER-SHARE-DISTRIBUTIONS>                        (.08)
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                              10.09
<EXPENSE-RATIO>                                   1.67
<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 1996 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> 023
   <NAME> KEMPER INTERMEDIATE MUNICIPAL BOND FUND - CLASS C
<MULTIPLIER> 1000
       
<S>                             <C>
<PERIOD-TYPE>                   6-MOS
<FISCAL-YEAR-END>                          SEP-30-1996
<PERIOD-START>                             OCT-01-1995
<PERIOD-END>                               MAR-31-1996
<INVESTMENTS-AT-COST>                           16,686
<INVESTMENTS-AT-VALUE>                          17,291
<RECEIVABLES>                                      305
<ASSETS-OTHER>                                   1,173
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                                  18,769
<PAYABLE-FOR-SECURITIES>                             8
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                           35
<TOTAL-LIABILITIES>                                 43
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                        18,096
<SHARES-COMMON-STOCK>                               79
<SHARES-COMMON-PRIOR>                               69
<ACCUMULATED-NII-CURRENT>                            0
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                             25
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                           605
<NET-ASSETS>                                    18,726
<DIVIDEND-INCOME>                                    0
<INTEREST-INCOME>                                  469
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                    (95)
<NET-INVESTMENT-INCOME>                            374
<REALIZED-GAINS-CURRENT>                            49
<APPREC-INCREASE-CURRENT>                        (106)
<NET-CHANGE-FROM-OPS>                              317
<EQUALIZATION>                                       0
<DISTRIBUTIONS-OF-INCOME>                         (17)
<DISTRIBUTIONS-OF-GAINS>                         (6)
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                             20
<NUMBER-OF-SHARES-REDEEMED>                       (12)
<SHARES-REINVESTED>                                  2
<NET-CHANGE-IN-ASSETS>                           2,557
<ACCUMULATED-NII-PRIOR>                              0
<ACCUMULATED-GAINS-PRIOR>                          110
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                               48
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                    112
<AVERAGE-NET-ASSETS>                            17,630
<PER-SHARE-NAV-BEGIN>                            10.19
<PER-SHARE-NII>                                    .19
<PER-SHARE-GAIN-APPREC>                          (.02)
<PER-SHARE-DIVIDEND>                             (.19)
<PER-SHARE-DISTRIBUTIONS>                        (.08)
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                              10.09
<EXPENSE-RATIO>                                   1.57
<AVG-DEBT-OUTSTANDING>                               0
<AVG-DEBT-PER-SHARE>                                 0
        

</TABLE>







          Exhibit 77Q1(e)
          Kemper National Tax-Free Income Series
          Form N-SAR for the period ended 03/31/96 
          File No. 811-2353

                           INVESTMENT MANAGEMENT AGREEMENT

                      (Kemper Intermediate Municipal Bond Fund)

               AGREEMENT made this 4th day of January, 1996, by and between
          KEMPER NATIONAL TAX-FREE INCOME SERIES, a Massachusetts business
          trust (the "Fund"), and KEMPER FINANCIAL SERVICES, INC., a
          Delaware corporation (the "Adviser").

               WHEREAS, the Fund is an open-end management investment
          company registered under the Investment Company Act of 1940, the
          shares of beneficial interest ("Shares") of which are registered
          under the Securities Act of 1933;

               WHEREAS, the Fund is authorized to issue Shares in separate
          series or portfolios with each representing the interests in a
          separate portfolio of securities and other assets;

               WHEREAS, the Fund wants to retain the Adviser under this
          Agreement to render investment advisory and management services
          to the portfolio of the Fund known as Kemper Intermediate
          Municipal Bond Fund (the "Initial Portfolio"), together with any
          other Fund portfolios that hereafter become subject to this
          Agreement pursuant to Section 2 hereof, being herein referred to
          collectively as the "Portfolios" and individually referred to as
          a "Portfolio"; and

               WHEREAS, the Fund desires at this time to retain the Adviser
          to render investment advisory and management services to the
          Initial Portfolio, and the Adviser is willing to render such
          services for the Initial Portfolio;

               NOW THEREFORE, in consideration of the mutual covenants
          hereinafter contained, it is hereby agreed by and between the
          parties hereto as follows:

          1.     The Fund hereby employs the Adviser to act as the
          investment adviser for the Initial Portfolio and other Portfolios
          hereunder and to manage the investment and reinvestment of the
          assets of each such Portfolio in accordance with the applicable
          investment objectives and policies and limitations, and to
          administer the affairs of each such Portfolio to the extent
          requested by and subject to the supervision of the Board of
          Trustees of the Fund for the period and upon the terms herein set
          forth, and to place orders for the purchase or sale of portfolio
          securities for the Fund's account with brokers or dealers
          selected by it; and, in connection therewith, the Adviser is
          authorized as the agent of the Fund to give instructions to the
          Custodian of the Fund as to the deliveries of securities and












          payments of cash for the account of the Fund.  In connection with
          the selection of such brokers or dealers and the placing of such
          orders, the Adviser is directed to seek for the Fund best
          execution of orders.  Subject to such policies as the Board of
          Trustees of the Fund determines, the Adviser shall not be deemed
          to have acted unlawfully or to have breached any duty, created by
          this Agreement or otherwise, solely by reason of its having
          caused the Fund to pay a broker or dealer an amount of commission
          for effecting a securities transaction in excess of the amount of
          commission another broker or dealer would have charged for
          effecting that transaction, if the Adviser determined in good
          faith that such amount of commission was reasonable in relation
          to the value of the brokerage and research services provided by
          such broker or dealer viewed in terms of either that particular
          transaction or the Adviser's overall responsibilities with
          respect to the clients of the Adviser as to which the Adviser
          exercises investment discretion.  The Fund recognizes that all
          research services and research that the Adviser receives or
          generates are available for all clients, and that the Fund and
          other clients may benefit thereby.  The investment of funds shall
          be subject to all applicable restrictions of the Agreement and
          Declaration of Trust and By-Laws of the Fund as may from time to
          time be in force.

               The Adviser accepts such employment and agrees during such
          period to render such services, to furnish office facilities and
          equipment and clerical, bookkeeping and administrative services
          for the Fund, to permit any of its officers or employees to serve
          without compensation as trustees or officers of the Fund if
          elected to such positions and to assume the obligations herein
          set forth for the compensation herein provided.  The Adviser
          shall for all purposes herein provided be deemed to be an
          independent contractor and, unless otherwise expressly provided
          or authorized, shall have no authority to act for or represent
          the Fund in any way or otherwise be deemed an agent of the Fund. 
          It is understood and agreed that the Adviser, by separate
          agreements with the Fund, may also serve the Fund in other
          capacities.

          2.     In the event that the Fund establishes one or more
          portfolios other than the Initial Portfolio with respect to which
          it desires to retain the Adviser to render investment advisory
          and management services hereunder, it shall notify the Adviser in
          writing.  If the Adviser is willing to render such services, it
          shall notify the Fund in writing whereupon such portfolio or
          portfolios shall become a Portfolio or Portfolios hereunder.

          3.     For the services and facilities described in Section 1,
          the Fund will pay to the Adviser at the end of each calendar
          month, an investment management fee for each Portfolio computed
          by applying the following annual rates to the applicable average
          daily net assets of the Portfolio:

                                          2













                   Applicable Average
                    Daily Net Assets
                      (Thousands)               Annual Rate
                   ------------------           -----------

                        $0 - $   250,000       .55 of 1%
               $   250,000 - $ 1,000,000       .52 of 1%
               $ 1,000,000 - $ 2,500,000       .50 of 1%
               $ 2,500,000 - $ 5,000,000       .48 of 1%
               $ 5,000,000 - $ 7,500,000       .45 of 1%
               $ 7,500,000 - $10,000,000       .43 of 1%
               $10,000,000 - $12,500,000       .41 of 1%
                        Over $12,500,000       .40 of 1%


               The fee as computed above shall be computed separately for,
          and charged as an expense of, each Portfolio based upon the
          average daily net assets of such Portfolio.  For the month and
          year in which this Agreement becomes effective or terminates,
          there shall be an appropriate proration on the basis of the
          number of days that the Agreement is in effect during the month
          and year, respectively.

          4.     The services of the Adviser to the Fund under this
          Agreement are not to be deemed exclusive, and the Adviser shall
          be free to render similar services or other services to others so
          long as its services hereunder are not impaired thereby.

          5.     In addition to the fee of the Adviser, the Fund shall
          assume and pay any expenses for services rendered by a custodian
          for the safekeeping of the Fund's securities or other property,
          for keeping its books of account, for any other charges of the
          custodian, and for calculating the net asset value of the Fund as
          provided in the prospectus of the Fund.  The Adviser shall not be
          required to pay and the Fund shall assume and pay the charges and
          expenses of its operations, including compensation of the
          trustees (other than those affiliated with the Adviser), charges
          and expenses of independent auditors, of legal counsel, of any
          transfer or dividend disbursing agent, and of any registrar of
          the Fund, costs of acquiring and disposing of portfolio
          securities, interest, if any, on obligations incurred by the
          Fund, costs of share certificates and of reports, membership dues
          in the Investment Company Institute or any similar organization,
          costs of reports and notices to shareholders, other like
          miscellaneous expenses and all taxes and fees payable to federal,
          state or other governmental agencies on account of the
          registration of securities issued by the Fund, filing of trust
          documents or otherwise.  The Fund shall not pay or incur any
          obligation for any expenses for which the Fund intends to seek
          reimbursement from the Adviser as herein provided without first
          obtaining the written approval of the Adviser.  The Adviser shall

                                          3












          arrange, if desired by the Fund, for officers or employees of the
          Adviser to serve, without compensation from the Fund, as
          trustees, officers or agents of the Fund if duly elected or
          appointed to such positions and subject to their individual
          consent and to any limitations imposed by law.

               If expenses borne by the Fund for those Portfolios which the
          Adviser manages in any fiscal year (including the Adviser's fee,
          but excluding interest, taxes, fees incurred in acquiring and
          disposing of portfolio securities, distribution services fees,
          extraordinary expenses and any other expenses excludable under
          state securities law limitations) exceed any applicable
          limitation arising under state securities laws, the Adviser will
          reduce its fee or reimburse the Fund for any excess to the extent
          required by such state securities laws.  If for any month the
          expenses of the Fund properly chargeable to the income account
          shall exceed 1/12 of the percentage of average net assets
          allowable as expenses, the payment to the Adviser for that month
          shall be reduced and if necessary the Adviser shall make a refund
          payment to the Fund so that the total net expense will not exceed
          such percentage.  As of the end of the Fund's fiscal year,
          however, the foregoing computations and payments shall be
          readjusted so that the aggregate compensation payable to the
          Adviser for the year is equal to the percentage calculated in
          accordance with Section 3 hereof of the average net asset value
          as determined as described herein throughout the fiscal year,
          diminished to the extent necessary so that the total of the
          aforementioned expense items of the Fund shall not exceed the
          expense limitation.  The aggregate of repayments, if any, by the
          Adviser to the Fund for the year shall be the amount necessary to
          limit the said net expense to said percentage in accordance with
          the foregoing.

               The net asset value for each Portfolio shall be calculated
          in accordance with the provisions of the Fund's prospectus or as
          the trustees may determine in accordance with the provisions of
          the Investment Company Act of 1940.  On each day when net asset
          value is not calculated, the net asset value of a Portfolio shall
          be deemed to be the net asset value of such Portfolio as of the
          close of business on the last day on which such calculation was
          made for the purpose of the foregoing computations.

          6.     Subject to applicable statutes and regulations, it is
          understood that trustees, officers or agents of the Fund are or
          may be interested in the Adviser as officers, directors, agents,
          shareholders or otherwise, and that the officers, directors,
          shareholders and agents of the Adviser may be interested in the
          Fund otherwise than as a trustee, officer or agent.

          7.     The Adviser shall not be liable for any error of judgment
          or of law or for any loss suffered by the Fund in connection with
          the matters to which this Agreement relates, except loss
          resulting from willful misfeasance, bad faith or gross negligence

                                          4











          on the part of the Adviser in the performance of its obligations
          and duties or by reason of its reckless disregard of its
          obligations and duties under this Agreement.

          8.     This Agreement shall become effective with respect to the
          Initial Portfolio on the date hereof and shall remain in full
          force until March 1, 1996, unless sooner terminated as
          hereinafter provided.  This Agreement shall continue in force
          from year to year thereafter with respect to each Portfolio, but
          only as long as such continuance is specifically approved for
          each Portfolio at least annually in the manner required by the
          Investment Company Act of 1940 and the rules and regulations
          thereunder; provided, however, that if the continuation of this
          Agreement is not approved for a Portfolio, the Adviser may
          continue to serve in such capacity for such Portfolio in the
          manner and to the extent permitted by the Investment Company Act
          of 1940 and the rules and regulations thereunder.

               This Agreement shall automatically terminate in the event of
          its assignment and may be terminated at any time without the
          payment of any penalty by the Fund or by the Adviser on sixty
          (60) days written notice to the other party.  The Fund may effect
          termination with respect to any Portfolio by action of the Board
          of Trustees or by vote of a majority of the outstanding voting
          securities of such Portfolio.

               This Agreement may be terminated with respect to any
          Portfolio at any time without the payment of any penalty by the
          Board of Trustees or by vote of a majority of the outstanding
          voting securities of such Portfolio in the event that it shall
          have been established by a court of competent jurisdiction that
          the Adviser or any officer or director of the Adviser has taken
          any action which results in a breach of the covenants of the
          Adviser set forth herein.

               The terms "assignment" and "vote of a majority of the
          outstanding voting securities" shall have the meanings set forth
          in the Investment Company Act of 1940 and the rules and
          regulations thereunder.

               Termination of this Agreement shall not affect the right of
          the Adviser to receive payments on any unpaid balance of the
          compensation described in Section 3 earned prior to such
          termination.

          9.     If any provision of this Agreement shall be held or made
          invalid by a court decision, statute, rule or otherwise, the
          remainder shall not be thereby affected.

          10.     Any notice under this Agreement shall be in writing,
          addressed and delivered or mailed, postage prepaid, to the other
          party at such address as such other party may designate for the
          receipt of such notice.

                                          5











          11.     All parties hereto are expressly put on notice of the
          Fund's Agreement and Declaration of Trust and all amendments
          thereto, all of which are on file with the Secretary of The
          Commonwealth of Massachusetts, and the limitation of shareholder
          and trustee liability contained therein.  This Agreement has been
          executed by and on behalf of the Fund by its representatives as
          such representatives and not individually, and the obligations of
          the Fund hereunder are not binding upon any of the trustees,
          officers, or shareholders of the Fund individually but are
          binding upon only the assets and property of the Fund.  With
          respect to any claim by the Adviser for recovery of that portion
          of the investment management fee (or any other liability of the
          Fund arising hereunder) allocated to a particular Portfolio,
          whether in accordance with the express terms hereof or otherwise,
          the Adviser shall have recourse solely against the assets of that
          Portfolio to satisfy such claim and shall have no recourse
          against the assets of any other Portfolio for such purpose.

          12.     This Agreement shall be construed in accordance with
          applicable federal law and (except as to Section 11 hereof which
          shall be construed in accordance with the laws of The
          Commonwealth of Massachusetts) the laws of the State of Illinois.































                                          6












          13.     This Agreement is the entire contract between the parties
          relating to the subject matter hereof and supersedes all prior
          agreements between the parties relating to the subject matter
          hereof.

               IN WITNESS WHEREOF, the Fund and the Adviser have caused
          this Agreement to be executed as of the day and year first above
          written.

                                    KEMPER NATIONAL TAX-FREE INCOME SERIES

                                    By:  /s/ John E. Peters
                                       --------------------------------

                                    Title:  Vice President
                                          -----------------------------

          ATTEST:

          /s/ Philip J. Collora
          -----------------------------

          Title:  Secretary
                -----------------------


                                    KEMPER FINANCIAL SERVICES, INC.

                                    By:  /s/ Patrick H. Dudasik
                                       --------------------------------

                                    Title:  Senior Vice President
                                          -----------------------------

          ATTEST:

          /s/ David F. Dierenfeldt
          -----------------------------

          Title:  Assistant Secretary
                -----------------------












                                          7












                           INVESTMENT MANAGEMENT AGREEMENT

                             (Kemper Municipal Bond Fund)

               AGREEMENT made this 4th day of January, 1996, by and between
          KEMPER NATIONAL TAX-FREE INCOME SERIES, a Massachusetts business
          trust (the "Fund"), and KEMPER FINANCIAL SERVICES, INC., a
          Delaware corporation (the "Adviser").

               WHEREAS, the Fund is an open-end management investment
          company registered under the Investment Company Act of 1940, the
          shares of beneficial interest ("Shares") of which are registered
          under the Securities Act of 1933;

               WHEREAS, the Fund is authorized to issue Shares in separate
          series or portfolios with each representing the interests in a
          separate portfolio of securities and other assets;

               WHEREAS, the Fund wants to retain the Adviser under this
          Agreement to render investment advisory and management services
          to the portfolio of the Fund known as Kemper Municipal Bond Fund
          (the "Initial Portfolio"), together with any other Fund
          portfolios that hereafter become subject to this Agreement
          pursuant to Section 2 hereof, being herein referred to
          collectively as the "Portfolios" and individually referred to as
          a "Portfolio"; and

               WHEREAS, the Fund desires at this time to retain the Adviser
          to render investment advisory and management services to the
          Initial Portfolio, and the Adviser is willing to render such
          services for the Initial Portfolio;

               NOW THEREFORE, in consideration of the mutual covenants
          hereinafter contained, it is hereby agreed by and between the
          parties hereto as follows:

          1.     The Fund hereby employs the Adviser to act as the
          investment adviser for the Initial Portfolio and other Portfolios
          hereunder and to manage the investment and reinvestment of the
          assets of each such Portfolio in accordance with the applicable
          investment objectives and policies and limitations, and to
          administer the affairs of each such Portfolio to the extent
          requested by and subject to the supervision of the Board of
          Trustees of the Fund for the period and upon the terms herein set
          forth, and to place orders for the purchase or sale of portfolio
          securities for the Fund's account with brokers or dealers
          selected by it; and, in connection therewith, the Adviser is
          authorized as the agent of the Fund to give instructions to the
          Custodian of the Fund as to the deliveries of securities and
          payments of cash for the account of the Fund.  In connection with
          the selection of such brokers or dealers and the placing of such
          orders, the Adviser is directed to seek for the Fund best
          execution of orders.  Subject to such policies as the Board of
          Trustees of the Fund determines, the Adviser shall not be deemed












          to have acted unlawfully or to have breached any duty, created by
          this Agreement or otherwise, solely by reason of its having
          caused the Fund to pay a broker or dealer an amount of commission
          for effecting a securities transaction in excess of the amount of
          commission another broker or dealer would have charged for
          effecting that transaction, if the Adviser determined in good
          faith that such amount of commission was reasonable in relation
          to the value of the brokerage and research services provided by
          such broker or dealer viewed in terms of either that particular
          transaction or the Adviser's overall responsibilities with
          respect to the clients of the Adviser as to which the Adviser
          exercises investment discretion.  The Fund recognizes that all
          research services and research that the Adviser receives or
          generates are available for all clients, and that the Fund and
          other clients may benefit thereby.  The investment of funds shall
          be subject to all applicable restrictions of the Agreement and
          Declaration of Trust and By-Laws of the Fund as may from time to
          time be in force.

               The Adviser accepts such employment and agrees during such
          period to render such services, to furnish office facilities and
          equipment and clerical, bookkeeping and administrative services
          for the Fund, to permit any of its officers or employees to serve
          without compensation as trustees or officers of the Fund if
          elected to such positions and to assume the obligations herein
          set forth for the compensation herein provided.  The Adviser
          shall for all purposes herein provided be deemed to be an
          independent contractor and, unless otherwise expressly provided
          or authorized, shall have no authority to act for or represent
          the Fund in any way or otherwise be deemed an agent of the Fund. 
          It is understood and agreed that the Adviser, by separate
          agreements with the Fund, may also serve the Fund in other
          capacities.

          2.     In the event that the Fund establishes one or more
          portfolios other than the Initial Portfolio with respect to which
          it desires to retain the Adviser to render investment advisory
          and management services hereunder, it shall notify the Adviser in
          writing.  If the Adviser is willing to render such services, it
          shall notify the Fund in writing whereupon such portfolio or
          portfolios shall become a Portfolio or Portfolios hereunder.

          3.     For the services and facilities described in Section 1,
          the Fund will pay to the Adviser at the end of each calendar
          month, an investment management fee for each Portfolio computed
          by applying the following annual rates to the applicable average
          daily net assets of the Portfolio:






                                          2












                   Applicable Average
                    Daily Net Assets
                      (Thousands)               Annual Rate
                   ------------------           -----------

                        $0 - $   250,000        .45 of 1%
               $   250,000 - $ 1,000,000        .43 of 1%
               $ 1,000,000 - $ 2,500,000        .41 of 1%
               $ 2,500,000 - $ 5,000,000        .40 of 1%
               $ 5,000,000 - $ 7,500,000        .38 of 1%
               $ 7,500,000 - $10,000,000        .36 of 1%
               $10,000,000 - $12,500,000        .34 of 1%
                        Over $12,500,000        .32 of 1%


               The fee as computed above shall be computed separately for,
          and charged as an expense of, each Portfolio based upon the
          average daily net assets of such Portfolio.  For the month and
          year in which this Agreement becomes effective or terminates,
          there shall be an appropriate proration on the basis of the
          number of days that the Agreement is in effect during the month
          and year, respectively.

          4.     The services of the Adviser to the Fund under this
          Agreement are not to be deemed exclusive, and the Adviser shall
          be free to render similar services or other services to others so
          long as its services hereunder are not impaired thereby.

          5.     In addition to the fee of the Adviser, the Fund shall
          assume and pay any expenses for services rendered by a custodian
          for the safekeeping of the Fund's securities or other property,
          for keeping its books of account, for any other charges of the
          custodian, and for calculating the net asset value of the Fund as
          provided in the prospectus of the Fund.  The Adviser shall not be
          required to pay and the Fund shall assume and pay the charges and
          expenses of its operations, including compensation of the
          trustees (other than those affiliated with the Adviser), charges
          and expenses of independent auditors, of legal counsel, of any
          transfer or dividend disbursing agent, and of any registrar of
          the Fund, costs of acquiring and disposing of portfolio
          securities, interest, if any, on obligations incurred by the
          Fund, costs of share certificates and of reports, membership dues
          in the Investment Company Institute or any similar organization,
          costs of reports and notices to shareholders, other like
          miscellaneous expenses and all taxes and fees payable to federal,
          state or other governmental agencies on account of the
          registration of securities issued by the Fund, filing of trust
          documents or otherwise.  The Fund shall not pay or incur any
          obligation for any expenses for which the Fund intends to seek
          reimbursement from the Adviser as herein provided without first
          obtaining the written approval of the Adviser.  The Adviser shall
          arrange, if desired by the Fund, for officers or employees of the

                                          3












          Adviser to serve, without compensation from the Fund, as
          trustees, officers or agents of the Fund if duly elected or
          appointed to such positions and subject to their individual
          consent and to any limitations imposed by law.

               If expenses borne by the Portfolios in any fiscal year
          (including the Adviser's fee, but excluding interest, taxes, fees
          incurred in acquiring and disposing of portfolio securities,
          distribution services fees and, to the extent permitted,
          extraordinary expenses) exceed 1% of average daily net assets,
          the Adviser will reduce its fee or reimburse the Fund for any
          excess.  If for any month the expenses of the Fund properly
          chargeable to the income account shall exceed 1/12 of the
          percentage of average net assets allowable as expenses, the
          payment to the Adviser for that month shall be reduced and if
          necessary the Adviser shall make a refund payment to the Fund so
          that the total net expense will not exceed such percentage.  As
          of the end of the Fund's fiscal year, however, the foregoing
          computations and payments shall be readjusted so that the
          aggregate compensation payable to the Adviser for the year is
          equal to the percentage calculated in accordance with Section 3
          hereof of the average net asset value as determined as described
          herein throughout the fiscal year, diminished to the extent
          necessary so that the total of the aforementioned expense items
          of the Fund shall not exceed the expense limitation.  The
          aggregate of repayments, if any, by the Adviser to the Fund for
          the year shall be the amount necessary to limit the said net
          expense to said percentage in accordance with the foregoing.

               The net asset value for each Portfolio shall be calculated
          in accordance with the provisions of the Fund's prospectus or as
          the trustees may determine in accordance with the provisions of
          the Investment Company Act of 1940.  On each day when net asset
          value is not calculated, the net asset value of a Portfolio shall
          be deemed to be the net asset value of such Portfolio as of the
          close of business on the last day on which such calculation was
          made for the purpose of the foregoing computations.

          6.     Subject to applicable statutes and regulations, it is
          understood that trustees, officers or agents of the Fund are or
          may be interested in the Adviser as officers, directors, agents,
          shareholders or otherwise, and that the officers, directors,
          shareholders and agents of the Adviser may be interested in the
          Fund otherwise than as a trustee, officer or agent.

          7.     The Adviser shall not be liable for any error of judgment
          or of law or for any loss suffered by the Fund in connection with
          the matters to which this Agreement relates, except loss
          resulting from willful misfeasance, bad faith or gross negligence
          on the part of the Adviser in the performance of its obligations
          and duties or by reason of its reckless disregard of its
          obligations and duties under this Agreement.


                                          4











          8.     This Agreement shall become effective with respect to the
          Initial Portfolio on the date hereof and shall remain in full
          force until March 1, 1996, unless sooner terminated as
          hereinafter provided.  This Agreement shall continue in force
          from year to year thereafter with respect to each Portfolio, but
          only as long as such continuance is specifically approved for
          each Portfolio at least annually in the manner required by the
          Investment Company Act of 1940 and the rules and regulations
          thereunder; provided, however, that if the continuation of this
          Agreement is not approved for a Portfolio, the Adviser may
          continue to serve in such capacity for such Portfolio in the
          manner and to the extent permitted by the Investment Company Act
          of 1940 and the rules and regulations thereunder.

               This Agreement shall automatically terminate in the event of
          its assignment and may be terminated at any time without the
          payment of any penalty by the Fund or by the Adviser on sixty
          (60) days written notice to the other party.  The Fund may effect
          termination with respect to any Portfolio by action of the Board
          of Trustees or by vote of a majority of the outstanding voting
          securities of such Portfolio.

               This Agreement may be terminated with respect to any
          Portfolio at any time without the payment of any penalty by the
          Board of Trustees or by vote of a majority of the outstanding
          voting securities of such Portfolio in the event that it shall
          have been established by a court of competent jurisdiction that
          the Adviser or any officer or director of the Adviser has taken
          any action which results in a breach of the covenants of the
          Adviser set forth herein.

               The terms "assignment" and "vote of a majority of the
          outstanding voting securities" shall have the meanings set forth
          in the Investment Company Act of 1940 and the rules and
          regulations thereunder.

               Termination of this Agreement shall not affect the right of
          the Adviser to receive payments on any unpaid balance of the
          compensation described in Section 3 earned prior to such
          termination.

          9.     If any provision of this Agreement shall be held or made
          invalid by a court decision, statute, rule or otherwise, the
          remainder shall not be thereby affected.

          10.     Any notice under this Agreement shall be in writing,
          addressed and delivered or mailed, postage prepaid, to the other
          party at such address as such other party may designate for the
          receipt of such notice.

          11.     All parties hereto are expressly put on notice of the
          Fund's Agreement and Declaration of Trust and all amendments

                                          5












          thereto, all of which are on file with the Secretary of The
          Commonwealth of Massachusetts, and the limitation of shareholder
          and trustee liability contained therein.  This Agreement has been
          executed by and on behalf of the Fund by its representatives as
          such representatives and not individually, and the obligations of
          the Fund hereunder are not binding upon any of the trustees,
          officers, or shareholders of the Fund individually but are
          binding upon only the assets and property of the Fund.  With
          respect to any claim by the Adviser for recovery of that portion
          of the investment management fee (or any other liability of the
          Fund arising hereunder) allocated to a particular Portfolio,
          whether in accordance with the express terms hereof or otherwise,
          the Adviser shall have recourse solely against the assets of that
          Portfolio to satisfy such claim and shall have no recourse
          against the assets of any other Portfolio for such purpose.

          12.     This Agreement shall be construed in accordance with
          applicable federal law and (except as to Section 11 hereof which
          shall be construed in accordance with the laws of The
          Commonwealth of Massachusetts) the laws of the State of Illinois.

































                                          6












          13.     This Agreement is the entire contract between the parties
          relating to the subject matter hereof and supersedes all prior
          agreements between the parties relating to the subject matter
          hereof.

               IN WITNESS WHEREOF, the Fund and the Adviser have caused
          this Agreement to be executed as of the day and year first above
          written.


                                     KEMPER NATIONAL TAX-FREE INCOME SERIES

                                     By:  /s/ John E. Peters 
                                        --------------------------------

                                     Title:  Vice President
                                           -----------------------------

          ATTEST:

          /s/ Philip J. Collora
          -----------------------------

          Title:  Secretary
                -----------------------


                                     KEMPER FINANCIAL SERVICES, INC.

                                     By:  /s/ Patrick H. Dudasik
                                        --------------------------------

                                     Title:  Senior Vice President
                                           -----------------------------

          ATTEST:

          /s/ David F. Dierenfeldt
          -----------------------------

          Title:  Assistant Secretary
                -----------------------

          MRB|W:\FUNDS\NSAR.EXH\KNTIS396.77Q|041096









                                          7









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