KEMPER NATIONAL TAX FREE INCOME SERIES
NSAR-B, 1999-11-26
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<PAGE>      PAGE  1
000 B000000 09/30/99
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 3125377000
002 A000000 222 SOUTH RIVERSIDE PLAZA
002 B000000 CHICAGO
002 C000000 IL
002 D010000 60606
002 D020000 5808
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 SCUDDER KEMPER INVESTMENTS, INC.
008 B00AA01 A
008 C00AA01 801-44899
008 D01AA01 NEW YORK
008 D02AA01 NY
008 D03AA01 10154
008 D04AA01 0100
010 A00AA01 KEMPER DISTRIBUTORS, INC.
010 B00AA01 8-47765
010 C01AA01 CHICAGO
010 C02AA01 IL
010 C03AA01 60606
010 C04AA01 5808
011 A00AA01 KEMPER DISTRIBUTORS, INC.
<PAGE>      PAGE  2
011 B00AA01 8-47765
011 C01AA01 CHICAGO
011 C02AA01 IL
011 C03AA01 60606
011 C04AA01 5808
012 A00AA01 KEMPER SERVICE COMPANY
012 B00AA01 84-1713
012 C01AA01 KANSAS CITY
012 C02AA01 MO
012 C03AA01 64141
013 A00AA01 ERNST & YOUNG LLP
013 B01AA01 CHICAGO
013 B02AA01 IL
013 B03AA01 60606
014 A00AA01 SCUDDER INVESTOR SERVICES, INC.
014 B00AA01 8-298
014 A00AA02 KEMPER DISTRIBUTORS, INC.
014 B00AA02 8-47765
014 A00AA03 GRUNTAL & CO., INC.
014 B00AA03 8-31022
014 A00AA04 THE GMS GROUP, L.L.C. (A GRUNTAL AFFILIATE)
014 B00AA04 8-23936
014 A00AA05 ZURICH CAPITAL MARKETS
014 B00AA05 8-49827
014 A00AA06 BANK HANDLOWY
014 B00AA06 8-24613
015 A00AA01 STATE STREET BANK AND TRUST COMPANY
015 B00AA01 C
015 C01AA01 BOSTON
015 C02AA01 MA
015 C03AA01 02110
015 E01AA01 X
018  00AA00 Y
019 A00AA00 Y
019 B00AA00   72
019 C00AA00 KEMPERFNDS
020 A000001 DEUTSCHE BANK SECURITIES CORP.
020 B000001 UNKNOWN
020 C000001    285
020 A000002 MORGAN GRENFELL SECURITIES INC.
020 B000002 13-3315378
020 C000002    142
020 A000003 MERRILL LYNCH & CO., INC.
020 B000003 13-5674085
020 C000003     29
020 A000004 LIT AMERICA, INC.
020 B000004 36-3204392
020 C000004     19
020 A000005 EDF MANN
020 B000005 UNKNOWN
020 C000005      2
<PAGE>      PAGE  3
020 C000006      0
020 C000007      0
020 C000008      0
020 C000009      0
020 C000010      0
021  000000      477
022 A000001 MERRILL LYNCH & CO., INC.
022 B000001 13-5674085
022 C000001    884277
022 D000001    879593
022 A000002 LEHMAN BROTHERS HOLDINGS, INC.
022 B000002 13-2518466
022 C000002    603030
022 D000002    652182
022 A000003 PAINWEBBER INCORPORATED
022 B000003 13-2638166
022 C000003    481317
022 D000003    475942
022 A000004 MORGAN STANLEY, DEAN WITTER & CO.
022 B000004 13-2655998
022 C000004    358891
022 D000004    283431
022 A000005 SALOMON SMITH BARNEY HOLDINGS INC.
022 B000005 22-1660266
022 C000005    388339
022 D000005    201247
022 A000006 WILLIAM E. SIMON & SONS
022 B000006 22-3017217
022 C000006    180976
022 D000006    213056
022 A000007 J.P. MORGAN & CO., INC.
022 B000007 13-3224016
022 C000007    200677
022 D000007    157726
022 A000008 GOLDMAN SACHS & CO.
022 B000008 13-5108880
022 C000008    191677
022 D000008    134624
022 A000009 OPPENHEIMER & CO.
022 B000009 13-2798343
022 C000009     72425
022 D000009    146485
022 A000010 FIRST ALBANY CORPORATION
022 B000010 22-2655804
022 C000010     19169
022 D000010    124964
023 C000000    3821733
023 D000000    3909938
024  00AA00 N
026 A000000 Y
026 B000000 Y
<PAGE>      PAGE  4
026 C000000 Y
026 D000000 Y
026 E000000 N
026 F000000 N
026 G010000 N
026 G020000 N
026 H000000 N
027  000000 Y
037  00AA00 N
038  00AA00      0
039  00AA00 Y
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 Y
055 A00AA00 Y
055 B00AA00 N
056  00AA00 Y
057  00AA00 N
058 A00AA00 N
059  00AA00 Y
060 A00AA00 Y
060 B00AA00 Y
061  00AA00     1000
066 A00AA00 N
067  00AA00 N
068 A00AA00 N
068 B00AA00 N
069  00AA00 N
077 A000000 Y
077 B000000 Y
077 C000000 N
077 D000000 N
<PAGE>      PAGE  5
077 E000000 N
077 F000000 N
077 G000000 N
077 H000000 N
077 I000000 N
077 J000000 N
077 K000000 N
077 L000000 N
077 M000000 N
077 N000000 N
077 O000000 N
077 P000000 N
077 Q010000 Y
077 Q020000 N
077 Q030000 Y
078  000000 N
080 A00AA00 ICI MUTUAL INSURANCE COMPANY
080 B00AA00 NATIONAL UNION & CHUBB
080 C00AA00   150000
081 A00AA00 Y
081 B00AA00 247
082 A00AA00 N
082 B00AA00        0
083 A00AA00 N
083 B00AA00        0
084 A00AA00 N
084 B00AA00        0
085 A00AA00 Y
085 B00AA00 N
028 A010100    168156
028 A020100      7482
028 A030100         0
028 A040100    198018
028 B010100     88885
028 B020100      7166
028 B030100         0
028 B040100    139579
028 C010100     66207
028 C020100      8176
028 C030100         0
028 C040100     60820
028 D010100     91883
028 D020100      7891
028 D030100         0
028 D040100    151636
028 E010100     71752
028 E020100      7746
028 E030100         0
028 E040100     93098
028 F010100    105913
028 F020100      7189
<PAGE>      PAGE  6
028 F030100         0
028 F040100    125450
028 G010100    592796
028 G020100     45650
028 G030100         0
028 G040100    768601
028 H000100     39551
029  000100 Y
030 A000100   1403
030 B000100  4.50
030 C000100  0.00
031 A000100    325
031 B000100      0
032  000100   1078
033  000100      0
034  000100 Y
035  000100    207
036 A000100 N
036 B000100      2
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    669
044  000100   1336
045  000100 Y
046  000100 N
047  000100 Y
048  000100  0.000
048 A010100   250000
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
048 G010100  2500000
048 G020100 0.340
048 H010100        0
048 H020100 0.000
048 I010100        0
048 I020100 0.000
<PAGE>      PAGE  7
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   2.0
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  97.7
062 P000100   0.0
062 Q000100   0.0
062 R000100   0.0
063 A000100   0
063 B000100 13.8
064 A000100 N
064 B000100 N
070 A010100 Y
070 A020100 N
070 B010100 N
070 B020100 N
070 C010100 Y
070 C020100 Y
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
070 J020100 N
070 K010100 N
070 K020100 N
070 L010100 N
070 L020100 N
070 M010100 N
<PAGE>      PAGE  8
070 M020100 N
070 N010100 Y
070 N020100 N
070 O010100 N
070 O020100 N
070 P010100 N
070 P020100 N
070 Q010100 N
070 Q020100 N
070 R010100 N
070 R020100 N
071 A000100   2082682
071 B000100   2318274
071 C000100   2982511
071 D000100   70
072 A000100 12
072 B000100   168305
072 C000100        0
072 D000100        0
072 E000100        0
072 F000100    12538
072 G000100     5482
072 H000100        0
072 I000100        0
072 J000100     2269
072 K000100        0
072 L000100      529
072 M000100       70
072 N000100        8
072 O000100        0
072 P000100        0
072 Q000100        0
072 R000100      116
072 S000100       17
072 T000100      669
072 U000100        0
072 V000100        0
072 W000100       51
072 X000100    21749
072 Y000100        0
072 Z000100   146556
072AA000100    49313
072BB000100    48501
072CC010100        0
072CC020100   226279
072DD010100   143044
072DD020100     3512
072EE000100    73330
073 A010100   0.0000
073 A020100   0.0000
073 B000100   0.2500
<PAGE>      PAGE  9
073 C000100   0.0000
074 A000100     2200
074 B000100        0
074 C000100    54975
074 D000100  2746696
074 E000100        0
074 F000100        0
074 G000100        0
074 H000100        0
074 I000100        0
074 J000100    51055
074 K000100        0
074 L000100    51853
074 M000100        0
074 N000100  2906779
074 O000100    84867
074 P000100     1194
074 Q000100        0
074 R010100        0
074 R020100        0
074 R030100        0
074 R040100     8515
074 S000100        0
074 T000100  2812203
074 U010100   284064
074 U020100     8754
074 V010100     0.00
074 V020100     0.00
074 W000100   0.0000
074 X000100    63727
074 Y000100        0
075 A000100        0
075 B000100  3048001
076  000100     0.00
028 A010200      2061
028 A020200        58
028 A030200         0
028 A040200       570
028 B010200      2209
028 B020200        56
028 B030200         0
028 B040200      2155
028 C010200      1432
028 C020200        66
028 C030200         0
028 C040200      1875
028 D010200      1906
028 D020200        60
028 D030200         0
028 D040200      2002
028 E010200      2142
<PAGE>      PAGE  10
028 E020200        58
028 E030200         0
028 E040200      2327
028 F010200      1056
028 F020200        51
028 F030200         0
028 F040200      3353
028 G010200     10806
028 G020200       349
028 G030200         0
028 G040200     12282
028 H000200      2004
029  000200 Y
030 A000200     47
030 B000200  2.75
030 C000200  0.00
031 A000200      8
031 B000200      0
032  000200     39
033  000200      0
034  000200 Y
035  000200     56
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     56
044  000200    215
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
048 F020200 0.430
048 G010200  2500000
<PAGE>      PAGE  11
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   0.4
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  94.9
062 P000200   0.0
062 Q000200   0.0
062 R000200   0.0
063 A000200   0
063 B000200  6.9
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
<PAGE>      PAGE  12
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 N
070 O020200 N
070 P010200 N
070 P020200 N
070 Q010200 N
070 Q020200 N
070 R010200 N
070 R020200 N
071 A000200      9174
071 B000200      7895
071 C000200     26302
071 D000200   30
072 A000200 12
072 B000200     1406
072 C000200        0
072 D000200        0
072 E000200        0
072 F000200      150
072 G000200       64
072 H000200        0
072 I000200        0
072 J000200       18
072 K000200        0
072 L000200       12
072 M000200       10
072 N000200        0
072 O000200        0
072 P000200        0
072 Q000200        0
072 R000200        1
072 S000200        1
072 T000200       56
072 U000200        0
072 V000200        0
072 W000200       12
072 X000200      324
072 Y000200        0
072 Z000200     1082
072AA000200      396
072BB000200      559
072CC010200        0
072CC020200     1225
072DD010200      829
<PAGE>      PAGE  13
072DD020200      253
072EE000200       64
073 A010200   0.0000
073 A020200   0.0000
073 B000200   0.0300
073 C000200   0.0000
074 A000200      879
074 B000200        0
074 C000200      100
074 D000200    24152
074 E000200        0
074 F000200        0
074 G000200        0
074 H000200        0
074 I000200        0
074 J000200       45
074 K000200        0
074 L000200      371
074 M000200        0
074 N000200    25547
074 O000200        0
074 P000200       18
074 Q000200        0
074 R010200        0
074 R020200        0
074 R030200        0
074 R040200       66
074 S000200        0
074 T000200    25463
074 U010200     1778
074 U020200      769
074 V010200     0.00
074 V020200     0.00
074 W000200   0.0000
074 X000200      479
074 Y000200        0
075 A000200        0
075 B000200    27473
076  000200     0.00
SIGNATURE   PHILIP J. COLLORA
TITLE       V.P & SECRETARY



<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 1999 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>                   12-MOS
<FISCAL-YEAR-END>                          SEP-30-1999
<PERIOD-START>                             OCT-01-1998
<PERIOD-END>                               SEP-30-1999
<INVESTMENTS-AT-COST>                        2,764,076
<INVESTMENTS-AT-VALUE>                       2,801,671
<RECEIVABLES>                                  102,908
<ASSETS-OTHER>                                   2,200
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                               2,906,779
<PAYABLE-FOR-SECURITIES>                        84,867
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                        9,709
<TOTAL-LIABILITIES>                             94,576
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                     2,819,069
<SHARES-COMMON-STOCK>                          284,064
<SHARES-COMMON-PRIOR>                          295,280
<ACCUMULATED-NII-CURRENT>                            0
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                       (44,461)
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                        37,595
<NET-ASSETS>                                 2,812,203
<DIVIDEND-INCOME>                                    0
<INTEREST-INCOME>                              168,305
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                (21,749)
<NET-INVESTMENT-INCOME>                        146,556
<REALIZED-GAINS-CURRENT>                           812
<APPREC-INCREASE-CURRENT>                    (226,279)
<NET-CHANGE-FROM-OPS>                         (78,911)
<EQUALIZATION>                                       0
<DISTRIBUTIONS-OF-INCOME>                    (143,044)
<DISTRIBUTIONS-OF-GAINS>                      (71,197)
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                        123,051
<NUMBER-OF-SHARES-REDEEMED>                  (148,146)
<SHARES-REINVESTED>                             13,879
<NET-CHANGE-IN-ASSETS>                       (408,440)
<ACCUMULATED-NII-PRIOR>                              0
<ACCUMULATED-GAINS-PRIOR>                       28,498
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                           12,538
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                 21,749
<AVERAGE-NET-ASSETS>                         3,048,001
<PER-SHARE-NAV-BEGIN>                            10.61
<PER-SHARE-NII>                                    .48
<PER-SHARE-GAIN-APPREC>                          (.76)
<PER-SHARE-DIVIDEND>                             (.48)
<PER-SHARE-DISTRIBUTIONS>                        (.25)
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                               9.60
<EXPENSE-RATIO>                                    .69


</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 1999 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> 012
   <NAME> KEMPER MUNICIPAL BOND FUND - CLASS B
<MULTIPLIER> 1000

<S>                             <C>
<PERIOD-TYPE>                   12-MOS
<FISCAL-YEAR-END>                          SEP-30-1999
<PERIOD-START>                             OCT-01-1998
<PERIOD-END>                               SEP-30-1999
<INVESTMENTS-AT-COST>                        2,764,076
<INVESTMENTS-AT-VALUE>                       2,801,671
<RECEIVABLES>                                  102,908
<ASSETS-OTHER>                                   2,200
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                               2,906,779
<PAYABLE-FOR-SECURITIES>                        84,867
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                        9,709
<TOTAL-LIABILITIES>                             94,576
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                     2,819,069
<SHARES-COMMON-STOCK>                            7,779
<SHARES-COMMON-PRIOR>                            7,402
<ACCUMULATED-NII-CURRENT>                            0
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                       (44,461)
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                        37,595
<NET-ASSETS>                                 2,812,203
<DIVIDEND-INCOME>                                    0
<INTEREST-INCOME>                              168,305
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                (21,749)
<NET-INVESTMENT-INCOME>                        146,556
<REALIZED-GAINS-CURRENT>                           812
<APPREC-INCREASE-CURRENT>                    (226,279)
<NET-CHANGE-FROM-OPS>                         (78,911)
<EQUALIZATION>                                       0
<DISTRIBUTIONS-OF-INCOME>                      (3,203)
<DISTRIBUTIONS-OF-GAINS>                        (1901)
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                          2,130
<NUMBER-OF-SHARES-REDEEMED>                    (2,087)
<SHARES-REINVESTED>                                334
<NET-CHANGE-IN-ASSETS>                       (408,440)
<ACCUMULATED-NII-PRIOR>                              0
<ACCUMULATED-GAINS-PRIOR>                       28,498
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                           12,538
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                 21,749
<AVERAGE-NET-ASSETS>                         3,048,001
<PER-SHARE-NAV-BEGIN>                            10.58
<PER-SHARE-NII>                                    .40
<PER-SHARE-GAIN-APPREC>                          (.75)
<PER-SHARE-DIVIDEND>                             (.40)
<PER-SHARE-DISTRIBUTIONS>                        (.25)
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                               9.58
<EXPENSE-RATIO>                                   1.53


</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 1999 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> 013
   <NAME> KEMPER MUNICIPAL BOND FUND - CLASS C
<MULTIPLIER> 1000

<S>                             <C>
<PERIOD-TYPE>                   12-MOS
<FISCAL-YEAR-END>                          SEP-30-1999
<PERIOD-START>                             OCT-01-1998
<PERIOD-END>                               SEP-30-1999
<INVESTMENTS-AT-COST>                        2,764,076
<INVESTMENTS-AT-VALUE>                       2,801,671
<RECEIVABLES>                                  102,908
<ASSETS-OTHER>                                   2,200
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                               2,906,779
<PAYABLE-FOR-SECURITIES>                        84,867
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                        9,709
<TOTAL-LIABILITIES>                             94,576
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                     2,819,069
<SHARES-COMMON-STOCK>                              975
<SHARES-COMMON-PRIOR>                              947
<ACCUMULATED-NII-CURRENT>                            0
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                       (44,461)
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                        37,595
<NET-ASSETS>                                 2,812,203
<DIVIDEND-INCOME>                                    0
<INTEREST-INCOME>                              168,305
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                (21,749)
<NET-INVESTMENT-INCOME>                        146,556
<REALIZED-GAINS-CURRENT>                           812
<APPREC-INCREASE-CURRENT>                    (226,279)
<NET-CHANGE-FROM-OPS>                         (78,911)
<EQUALIZATION>                                       0
<DISTRIBUTIONS-OF-INCOME>                        (309)
<DISTRIBUTIONS-OF-GAINS>                         (232)
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                          7,786
<NUMBER-OF-SHARES-REDEEMED>                    (7,801)
<SHARES-REINVESTED>                                 43
<NET-CHANGE-IN-ASSETS>                       (408,440)
<ACCUMULATED-NII-PRIOR>                              0
<ACCUMULATED-GAINS-PRIOR>                       28,498
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                           12,538
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                 21,749
<AVERAGE-NET-ASSETS>                         3,048,001
<PER-SHARE-NAV-BEGIN>                            10.62
<PER-SHARE-NII>                                    .40
<PER-SHARE-GAIN-APPREC>                          (.75)
<PER-SHARE-DIVIDEND>                             (.40)
<PER-SHARE-DISTRIBUTIONS>                        (.25)
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                               9.62
<EXPENSE-RATIO>                                   1.54


</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 1999 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> 021
   <NAME> KEMPER INTERMEDIATE MUNICIPAL BOND FUND - CLASS A
<MULTIPLIER> 1,000

<S>                             <C>
<PERIOD-TYPE>                   12-MOS
<FISCAL-YEAR-END>                          SEP-30-1999
<PERIOD-START>                             OCT-01-1998
<PERIOD-END>                               SEP-30-1999
<INVESTMENTS-AT-COST>                           23,814
<INVESTMENTS-AT-VALUE>                          24,252
<RECEIVABLES>                                      416
<ASSETS-OTHER>                                     879
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                                  25,547
<PAYABLE-FOR-SECURITIES>                             0
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                           84
<TOTAL-LIABILITIES>                                 84
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                        25,287
<SHARES-COMMON-STOCK>                            1,778
<SHARES-COMMON-PRIOR>                            1,819
<ACCUMULATED-NII-CURRENT>                            0
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                          (262)
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                           438
<NET-ASSETS>                                    25,463
<DIVIDEND-INCOME>                                    0
<INTEREST-INCOME>                                1,406
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                   (324)
<NET-INVESTMENT-INCOME>                          1,082
<REALIZED-GAINS-CURRENT>                         (163)
<APPREC-INCREASE-CURRENT>                      (1,225)
<NET-CHANGE-FROM-OPS>                            (306)
<EQUALIZATION>                                       0
<DISTRIBUTIONS-OF-INCOME>                        (829)
<DISTRIBUTIONS-OF-GAINS>                          (48)
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                          1,156
<NUMBER-OF-SHARES-REDEEMED>                    (1,254)
<SHARES-REINVESTED>                                 57
<NET-CHANGE-IN-ASSETS>                             290
<ACCUMULATED-NII-PRIOR>                              0
<ACCUMULATED-GAINS-PRIOR>                         (39)
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                              150
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                    324
<AVERAGE-NET-ASSETS>                            27,473
<PER-SHARE-NAV-BEGIN>                            10.53
<PER-SHARE-NII>                                    .42
<PER-SHARE-GAIN-APPREC>                          (.50)
<PER-SHARE-DIVIDEND>                             (.42)
<PER-SHARE-DISTRIBUTIONS>                        (.03)
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                            (10.00)
<EXPENSE-RATIO>                                    .96


</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 1999 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> 022
   <NAME> KEMPER INTERMEDIATE MUNICIPAL BOND FUND - CLASS B
<MULTIPLIER> 1,000

<S>                             <C>
<PERIOD-TYPE>                   12-MOS
<FISCAL-YEAR-END>                          SEP-30-1999
<PERIOD-START>                             OCT-01-1998
<PERIOD-END>                               SEP-30-1999
<INVESTMENTS-AT-COST>                           23,814
<INVESTMENTS-AT-VALUE>                          24,252
<RECEIVABLES>                                      416
<ASSETS-OTHER>                                     879
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                                  25,547
<PAYABLE-FOR-SECURITIES>                             0
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                           84
<TOTAL-LIABILITIES>                                 84
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                        25,287
<SHARES-COMMON-STOCK>                              533
<SHARES-COMMON-PRIOR>                              498
<ACCUMULATED-NII-CURRENT>                            0
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                          (262)
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                           438
<NET-ASSETS>                                    25,463
<DIVIDEND-INCOME>                                    0
<INTEREST-INCOME>                                1,406
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                   (324)
<NET-INVESTMENT-INCOME>                          1,082
<REALIZED-GAINS-CURRENT>                         (163)
<APPREC-INCREASE-CURRENT>                      (1,225)
<NET-CHANGE-FROM-OPS>                            (306)
<EQUALIZATION>                                       0
<DISTRIBUTIONS-OF-INCOME>                        (171)
<DISTRIBUTIONS-OF-GAINS>                          (11)
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                            283
<NUMBER-OF-SHARES-REDEEMED>                      (260)
<SHARES-REINVESTED>                                 12
<NET-CHANGE-IN-ASSETS>                             290
<ACCUMULATED-NII-PRIOR>                              0
<ACCUMULATED-GAINS-PRIOR>                         (39)
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                              150
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                    324
<AVERAGE-NET-ASSETS>                            27,473
<PER-SHARE-NAV-BEGIN>                            10.52
<PER-SHARE-NII>                                    .34
<PER-SHARE-GAIN-APPREC>                          (.49)
<PER-SHARE-DIVIDEND>                             (.34)
<PER-SHARE-DISTRIBUTIONS>                        (.03)
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                            (10.00)
<EXPENSE-RATIO>                                   1.76


</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 1999 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> 1,000

<S>                             <C>
<PERIOD-TYPE>                   12-MOS
<FISCAL-YEAR-END>                          SEP-30-1999
<PERIOD-START>                             OCT-01-1998
<PERIOD-END>                               SEP-30-1999
<INVESTMENTS-AT-COST>                           23,814
<INVESTMENTS-AT-VALUE>                          24,252
<RECEIVABLES>                                      416
<ASSETS-OTHER>                                     879
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                                  25,547
<PAYABLE-FOR-SECURITIES>                             0
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                           84
<TOTAL-LIABILITIES>                                 84
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                        25,287
<SHARES-COMMON-STOCK>                              236
<SHARES-COMMON-PRIOR>                               75
<ACCUMULATED-NII-CURRENT>                            0
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                          (262)
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                           438
<NET-ASSETS>                                    25,463
<DIVIDEND-INCOME>                                    0
<INTEREST-INCOME>                                1,406
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                   (324)
<NET-INVESTMENT-INCOME>                          1,082
<REALIZED-GAINS-CURRENT>                         (163)
<APPREC-INCREASE-CURRENT>                      (1,225)
<NET-CHANGE-FROM-OPS>                            (306)
<EQUALIZATION>                                       0
<DISTRIBUTIONS-OF-INCOME>                         (82)
<DISTRIBUTIONS-OF-GAINS>                           (5)
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                            228
<NUMBER-OF-SHARES-REDEEMED>                       (72)
<SHARES-REINVESTED>                                  5
<NET-CHANGE-IN-ASSETS>                             290
<ACCUMULATED-NII-PRIOR>                              0
<ACCUMULATED-GAINS-PRIOR>                         (39)
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                              150
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                    324
<AVERAGE-NET-ASSETS>                            27,473
<PER-SHARE-NAV-BEGIN>                            10.53
<PER-SHARE-NII>                                    .34
<PER-SHARE-GAIN-APPREC>                          (.50)
<PER-SHARE-DIVIDEND>                             (.34)
<PER-SHARE-DISTRIBUTIONS>                        (.03)
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                            (10.00)
<EXPENSE-RATIO>                                   1.72


</TABLE>


                   REPORT OF INDEPENDENT AUDITORS

Board of Trustees
Kemper Funds

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

The  management  of  the Funds is responsible  for  establishing  and
maintaining   internal  control.  In fulfilling this  responsibility,
estimates  and  judgments by management are required  to  assess  the
expected benefits and related costs of controls.  Generally, controls
that  are  relevant to an audit pertain to the entity's objective  of
preparing financial statements for external purposes that are  fairly
presented   in   conformity   with  generally   accepted   accounting
principles.   Those  controls  include  the  safeguarding  of  assets
against unauthorized acquisition, use or disposition.

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

Our  consideration of internal control would not necessarily disclose
all  matters  in  internal control that might be material  weaknesses
under  standards established by the American Institute  of  Certified
Public  Accountants. A material weakness is a condition in which  the
design or operation of one or more of the internal control components
does  not  reduce  to a relatively low level the risk  misstatements,
error  or fraud in amounts that would be material in relation to  the
financial  statements being audited may occur  and  not  be  detected
within  a  timely  period  by  employees  in  the  normal  course  of
performing  their  assigned functions. However, we noted  no  matters
involving internal control and its operation, including controls  for
safeguarding  securities, that we consider to be material  weaknesses
as defined above at Report Date.

This  report is intended solely for the information and  use  of  the
board  of  trustees  and management and the Securities  and  Exchange
Commission and is not intended to be and should not be used by anyone
other than these specified parties.


                                        ERNST & YOUNG LLP

Chicago, Illinois
November 19, 1999






Kemper Funds

                                   Exhibit A

September 30, 1999

Kemper Growth Fund

Kemper Small Capitalization Equity Fund

Tax-Exempt California Money Market Fund

Kemper Aggressive Growth Fund

Kemper High Yield Series -
  Kemper High Yield Fund
  Kemper High Yield Opportunity Fund

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

Kemper Portfolios -
  Kemper Cash Reserves Fund
  Kemper U.S. Mortgage Fund

Kemper Securities Trust -
  Kemper U.S. Growth and Income Fund
  Kemper Small Cap Relative Value Fund

Kemper Income Trust -
  Kemper High Yield II Fund









2

N:\SHAREDAT\CORP_ACT\CONTRACT\KEMPER\KNTIS\IMA\mbf_s98
                INVESTMENT MANAGEMENT AGREEMENT

             Kemper National Tax-Free Income Series
                   222 South Riverside Plaza
                    Chicago, Illinois 60606

                                                September 7, 1998

Scudder Kemper Investments, Inc.
345 Park Avenue
New York, New York 10154

                Investment Management Agreement
                   Kemper Municipal Bond Fund

Ladies and Gentlemen:

KEMPER  NATIONAL  TAX-FREE INCOME SERIES (the "Trust")  has  been
established  as a Massachusetts business trust to engage  in  the
business  of  an  investment company.  Pursuant  to  the  Trust's
Declaration   of   Trust,  as  amended  from  time-to-time   (the
"Declaration"), the Board of Trustees is authorized to issue  the
Trust's shares of beneficial interest (the "Shares"), in separate
series,  or  funds.  The Board of Trustees has authorized  Kemper
Municipal  Bond  Fund (the "Fund"). Series may be  abolished  and
dissolved, and additional series established, from time  to  time
by action of the Trustees.

The  Trust, on behalf of the Fund, has selected you to act as the
investment  manager  of  the Fund and to  provide  certain  other
services,  as more fully set forth below, and you have  indicated
that  you  are willing to act as such investment manager  and  to
perform  such services under the terms and conditions hereinafter
set  forth.  Accordingly, the Trust on behalf of the Fund  agrees
with you as follows:

1.    Delivery of Documents. The Trust engages in the business of
investing  and reinvesting the assets of the Fund in  the  manner
and  in  accordance with the investment objectives, policies  and
restrictions specified in the currently effective Prospectus (the
"Prospectus") and Statement of Additional Information (the "SAI")
relating  to  the  Fund  included  in  the  Trust's  Registration
Statement  on  Form  N-1A, as amended from  time  to  time,  (the
"Registration Statement") filed by the Trust under the Investment
Company  Act  of  1940,  as amended, (the  "1940  Act")  and  the
Securities  Act  of  1933, as amended. Copies  of  the  documents
referred to in the preceding sentence have been furnished to  you
by  the  Trust.  The  Trust has also furnished  you  with  copies
properly  certified  or authenticated of each  of  the  following
additional documents related to the Trust and the Fund:

     (a)  The Declaration, as amended to date.

     (b)   By-Laws  of the Trust as in effect on the date  hereof
(the "By- Laws").

     (c)  Resolutions  of  the  Trustees of  the  Trust  and  the
          shareholders  of the Fund selecting you  as  investment
          manager and approving the form of this Agreement.

     (d)  Establishment and Designation of Series  of  Shares  of
          Beneficial   Interest  relating   to   the   Fund,   as
          applicable.

The  Trust  will  furnish  you from time  to  time  with  copies,
properly  certified  or authenticated, of all  amendments  of  or
supplements, if any, to the foregoing, including the  Prospectus,
the SAI and the Registration Statement.

2.    Portfolio Management Services. As manager of the assets  of
the  Fund, you shall provide continuing investment management  of
the  assets  of  the  Fund  in  accordance  with  the  investment
objectives, policies and restrictions set forth in the Prospectus
and  SAI;  the  applicable provisions of the  1940  Act  and  the
Internal  Revenue Code of 1986, as amended, (the "Code") relating
to  regulated investment companies and all rules and  regulations
thereunder; and all other applicable federal and state  laws  and
regulations  of  which  you  have knowledge;  subject  always  to
policies  and  instructions  adopted  by  the  Trust's  Board  of
Trustees.  In  connection  therewith, you  shall  use  reasonable
efforts to manage the Fund so that it will qualify as a regulated
investment company under Subchapter M of the Code and regulations
issued  thereunder.  The  Fund shall  have  the  benefit  of  the
investment analysis and research, the review of current  economic
conditions   and  trends  and  the  consideration  of  long-range
investment policy generally available to your investment advisory
clients. In managing the Fund in accordance with the requirements
set forth in this section 2, you shall be entitled to receive and
act  upon  advice  of counsel to the Trust. You shall  also  make
available  to the Trust promptly upon request all of  the  Fund's
investment  records and ledgers as are necessary  to  assist  the
Trust  in  complying with the requirements of the  1940  Act  and
other  applicable laws. To the extent required by law, you  shall
furnish  to regulatory authorities having the requisite authority
any  information  or  reports  in connection  with  the  services
provided  pursuant to this Agreement which may  be  requested  in
order  to ascertain whether the operations of the Trust are being
conducted  in  a  manner  consistent  with  applicable  laws  and
regulations.

You  shall  determine  the securities, instruments,  investments,
currencies,  repurchase agreements, futures,  options  and  other
contracts  relating  to  investments to  be  purchased,  sold  or
entered  into  by  the Fund and place orders with broker-dealers,
foreign currency dealers, futures commission merchants or  others
pursuant  to your determinations and all in accordance with  Fund
policies  as expressed in the Registration Statement.  You  shall
determine what portion of the Fund's portfolio shall be  invested
in  securities and other assets and what portion, if any,  should
be held uninvested.

You  shall  furnish  to  the Trust's Board of  Trustees  periodic
reports  on  the investment performance of the Fund  and  on  the
performance  of your obligations pursuant to this Agreement,  and
you  shall supply such additional reports and information as  the
Trust's officers or Board of Trustees shall reasonably request.

3.    Administrative  Services.  In  addition  to  the  portfolio
management  services  specified above in  section  2,  you  shall
furnish at your expense for the use of the Fund such office space
and  facilities in the United States as the Fund may require  for
its  reasonable needs, and you (or one or more of your affiliates
designated  by  you)  shall  render to the  Trust  administrative
services on behalf of the Fund necessary for operating as an open
end investment company and not provided by persons not parties to
this  Agreement including, but not limited to, preparing  reports
to  and  meeting materials for the Trust's Board of Trustees  and
reports   and   notices   to   Fund  shareholders;   supervising,
negotiating   contractual  arrangements  with,  to   the   extent
appropriate,  and  monitoring  the  performance  of,   accounting
agents,  custodians, depositories, transfer  agents  and  pricing
agents,  accountants, attorneys, printers, underwriters,  brokers
and dealers, insurers and other persons in any capacity deemed to
be  necessary  or  desirable  to Fund operations;  preparing  and
making  filings with the Securities and Exchange Commission  (the
"SEC")  and  other regulatory and self-regulatory  organizations,
including,  but not limited to, preliminary and definitive  proxy
materials,   post-effective  amendments   to   the   Registration
Statement, semi-annual reports on Form N-SAR and notices pursuant
to  Rule  24f-2 under the 1940 Act; overseeing the tabulation  of
proxies   by  the  Fund's  transfer  agent;  assisting   in   the
preparation and filing of the Fund's federal, state and local tax
returns;  preparing  and  filing the Fund's  federal  excise  tax
return pursuant to Section 4982 of the Code; providing assistance
with  investor  and  public  relations  matters;  monitoring  the
valuation  of  portfolio securities and the  calculation  of  net
asset  value; monitoring the registration of Shares of  the  Fund
under  applicable federal and state securities laws;  maintaining
or  causing to be maintained for the Fund all books, records  and
reports and any other information required under the 1940 Act, to
the  extent  that  such  books, records  and  reports  and  other
information are not maintained by the Fund's custodian  or  other
agents  of  the  Fund; assisting in establishing  the  accounting
policies  of the Fund; assisting in the resolution of  accounting
issues  that may arise with respect to the Fund's operations  and
consulting with the Fund's independent accountants, legal counsel
and the Fund's other agents as necessary in connection therewith;
establishing and monitoring the Fund's operating expense budgets;
reviewing the Fund's bills; processing the payment of bills  that
have been approved by an authorized person; assisting the Fund in
determining  the amount of dividends and distributions  available
to  be  paid  by  the  Fund  to its shareholders,  preparing  and
arranging  for  the printing of dividend notices to shareholders,
and  providing  the  transfer  and  dividend  paying  agent,  the
custodian, and the accounting agent with such information  as  is
required for such parties to effect the payment of dividends  and
distributions;  and  otherwise assisting  the  Trust  as  it  may
reasonably request in the conduct of the Fund's business, subject
to  the  direction and control of the Trust's Board of  Trustees.
Nothing in this Agreement shall be deemed to shift to you  or  to
diminish  the obligations of any agent of the Fund or  any  other
person  not  a  party  to this Agreement which  is  obligated  to
provide services to the Fund.

4.    Allocation  of  Charges and Expenses. Except  as  otherwise
specifically  provided  in this section  4,  you  shall  pay  the
compensation and expenses of all Trustees, officers and executive
employees  of  the Trust (including the Fund's share  of  payroll
taxes)  who  are  affiliated persons of you, and you  shall  make
available, without expense to the Fund, the services of  such  of
your  directors,  officers and employees as may duly  be  elected
officers  of  the Trust, subject to their individual  consent  to
serve and to any limitations imposed by law. You shall provide at
your  expense  the  portfolio management  services  described  in
section  2  hereof and the administrative services  described  in
section 3 hereof.

You  shall not be required to pay any expenses of the Fund  other
than  those specifically allocated to you in this section  4.  In
particular, but without limiting the generality of the foregoing,
you  shall  not  be  responsible, except to  the  extent  of  the
reasonable  compensation  of  such of  the  Fund's  Trustees  and
officers  as  are directors, officers or employees of  you  whose
services may be involved, for the following expenses of the Fund:
organization  expenses  of  the  Fund  (including  out  of-pocket
expenses,  but  not including your overhead or  employee  costs);
fees   payable  to  you  and  to  any  other  Fund  advisors   or
consultants;  legal  expenses; auditing and accounting  expenses;
maintenance  of  books  and  records which  are  required  to  be
maintained by the Fund's custodian or other agents of the  Trust;
telephone,  telex,  facsimile, postage and  other  communications
expenses;  taxes and governmental fees; fees, dues  and  expenses
incurred  by the Fund in connection with membership in investment
company  trade  organizations; fees and expenses  of  the  Fund's
accounting  agent for which the Trust is responsible pursuant  to
the  terms of the Fund Accounting Services Agreement, custodians,
subcustodians,  transfer agents, dividend disbursing  agents  and
registrars;  payment for portfolio pricing or valuation  services
to pricing agents, accountants, bankers and other specialists, if
any;  expenses  of preparing share certificates  and,  except  as
provided  below in this section 4, other expenses  in  connection
with  the  issuance, offering, distribution, sale, redemption  or
repurchase of securities issued by the Fund; expenses relating to
investor  and public relations; expenses and fees of  registering
or qualifying Shares of the Fund for sale; interest charges, bond
premiums  and  other  insurance expense; freight,  insurance  and
other  charges  in  connection with the shipment  of  the  Fund's
portfolio   securities;  the  compensation   and   all   expenses
(specifically  including  travel  expenses  relating   to   Trust
business)  of Trustees, officers and employees of the  Trust  who
are not affiliated persons of you; brokerage commissions or other
costs  of  acquiring or disposing of any portfolio securities  of
the  Fund; expenses of printing and distributing reports, notices
and  dividends to shareholders; expenses of printing and  mailing
Prospectuses and SAIs of the Fund and supplements thereto;  costs
of   stationery;  any  litigation  expenses;  indemnification  of
Trustees  and  officers of the Trust; and costs of  shareholders'
and other meetings.

You  shall not be required to pay expenses of any activity  which
is primarily intended to result in sales of Shares of the Fund if
and to the extent that (i) such expenses are required to be borne
by  a principal underwriter which acts as the distributor of  the
Fund's  Shares  pursuant  to  an  underwriting  agreement   which
provides  that the underwriter shall assume some or all  of  such
expenses,  or  (ii) the Trust on behalf of the  Fund  shall  have
adopted  a plan in conformity with Rule 12b-1 under the 1940  Act
providing  that the Fund (or some other party) shall assume  some
or all of such expenses. You shall be required to pay such of the
foregoing  sales expenses as are not required to be paid  by  the
principal  underwriter pursuant to the underwriting agreement  or
are  not  permitted to be paid by the Fund (or some other  party)
pursuant to such a plan.

5.   Management Fee. For all services to be rendered, payments to
be made and costs to be assumed by you as provided in sections 2,
3, and 4 hereof, the Trust on behalf of the Fund shall pay you in
United  States Dollars on the last day of each month  the  unpaid
balance  of  a fee equal to the excess of (a) 1/12 of  .45  of  1
percent of the average daily net assets as defined below  of  the
Fund for such month; provided that, for any calendar month during
which  the  average of such values exceeds $250,000,000  the  fee
payable  for  that month based on the portion of the  average  of
such  values in excess of $250,000,000 shall be 1/12 of .43 of  1
percent  of  such portion; provided that, for any calendar  month
during  which  the average of such values exceeds $1,000,000,000,
the  fee  payable  for that month based on  the  portion  of  the
average of such values in excess of $1,000,000,000 shall be  1/12
of  .41  of  1  percent of such portion; provided that,  for  any
calendar  month  during which the average of such values  exceeds
$2,500,000,000,  the  fee payable for that  month  based  on  the
portion of the average of such values in excess of $2,500,000,000
shall be 1/12 of .40 of 1 percent of such portion; provided that,
for  any  calendar month during which the average of such  values
exceeds  $5,000,000,000, the fee payable for that month based  on
the  portion  of  the  average  of  such  values  in  excess   of
$5,000,000,000 shall be 1/12 of .38 of 1 percent of such portion;
provided that, for any calendar month during which the average of
such  values  exceeds $7,500,000,000, the fee  payable  for  that
month  based  on  the portion of the average of  such  values  in
excess  of  $7,500,000,000 shall be 1/12 of  .36 of 1 percent  of
such  portion; provided that, for any calendar month during which
the  average  of  such  values exceeds  10,000,000,000,  the  fee
payable  for  that month based on the portion of the  average  of
such values in excess of $10,000,000,000 shall be 1/12 of .34  of
1  percent  of such portion; and provided that, for any  calendar
month   during   which  the  average  of  such   values   exceeds
12,500,000,000,  the  fee payable for that  month  based  on  the
portion   of   the   average  of  such  values   in   excess   of
$12,500,000,000  shall  be  1/12 of .32  of  1  percent  of  such
portion;  over  (b) the greater of (i) the amount  by  which  the
Fund's expenses exceed 1% of average daily net assets or (ii) any
compensation  waived  by you from time to  time  (as  more  fully
described  below).  You shall be entitled to receive  during  any
month  such interim payments of your fee hereunder as  you  shall
request, provided that no such payment shall exceed 75 percent of
the  amount of your fee then accrued on the books of the Fund and
unpaid.

The "average daily net assets" of the Fund shall mean the average
of  the  values placed on the Fund's net assets as of  4:00  p.m.
(New  York time) on each day on which the net asset value of  the
Fund  is determined consistent with the provisions of Rule  22c-1
under  the 1940 Act or, if the Fund lawfully determines the value
of  its net assets as of some other time on each business day, as
of  such  time.  The value of the net assets of  the  Fund  shall
always be determined pursuant to the applicable provisions of the
Declaration  and the Registration Statement. If the determination
of  net  asset value does not take place for any particular  day,
then  for  the purposes of this section 5, the value of  the  net
assets  of the Fund as last determined shall be deemed to be  the
value of its net assets as of 4:00 p.m. (New York time), or as of
such  other  time as the value of the net assets  of  the  Fund's
portfolio  may be lawfully determined on that day.  If  the  Fund
determines the value of the net assets of its portfolio more than
once on any day, then the last such determination thereof on that
day  shall be deemed to be the sole determination thereof on that
day for the purposes of this section 5.

You  agree that your gross compensation for any fiscal year shall
not be greater than an amount which, when added to other expenses
of  the  Fund, shall cause the aggregate expenses of the Fund  to
equal  1% of average daily net assets. Except to the extent  that
such  amount has been reflected in reduced payments to  you,  you
shall  refund to the Fund the amount of any payment  received  in
excess  of the limitation pursuant to this section 5 as  promptly
as  practicable after the end of such fiscal year, provided  that
you  shall not be required to pay the Fund an amount greater than
the  fee  paid  to you in respect of such year pursuant  to  this
Agreement. As used in this section 5, "expenses" shall mean those
expenses included in the applicable expense limitation having the
broadest specifications thereof, and "expense limitation" means a
limit on the maximum annual expenses which may be incurred by  an
investment  company  determined  (i)  by  multiplying   a   fixed
percentage by the average, or by multiplying more than  one  such
percentage by different specified amounts of the average, of  the
values of an investment company's net assets for a fiscal year or
(ii) by multiplying a fixed percentage by an investment company's
net investment income for a fiscal year.

  You  may  waive  all  or a portion of your  fees  provided  for
hereunder  and  such waiver shall be treated as  a  reduction  in
purchase price of your services. You shall be contractually bound
hereunder by the terms of any publicly announced waiver  of  your
fee,  or any limitation of the Fund's expenses, as if such waiver
or limitation were fully set forth herein.

6.    Avoidance of Inconsistent Position; Services Not Exclusive.
In connection with purchases or sales of portfolio securities and
other  investments for the account of the Fund, neither  you  nor
any  of  your  directors, officers or employees shall  act  as  a
principal  or agent or receive any commission. You or your  agent
shall arrange for the placing of all orders for the purchase  and
sale of portfolio securities and other investments for the Fund's
account  with  brokers or dealers selected by you  in  accordance
with Fund policies as expressed in the Registration Statement. If
any occasion should arise in which you give any advice to clients
of  yours concerning the Shares of the Fund, you shall act solely
as  investment  counsel for such clients and not in  any  way  on
behalf of the Fund.

Your  services to the Fund pursuant to this Agreement are not  to
be  deemed  to  be exclusive and it is understood  that  you  may
render  investment advice, management and services to others.  In
acting   under  this  Agreement,  you  shall  be  an  independent
contractor and not an agent of the Trust. Whenever the  Fund  and
one or more other accounts or investment companies advised by you
have  available  funds for investment, investments  suitable  and
appropriate  for  each  shall  be allocated  in  accordance  with
procedures  believed  by  you to be  equitable  to  each  entity.
Similarly, opportunities to sell securities shall be allocated in
a  manner  believed by you to be equitable. The  Fund  recognizes
that  in some cases this procedure may adversely affect the  size
of the position that may be acquired or disposed of for the Fund.

7.   Limitation of Liability of Manager. As an inducement to your
undertaking  to  render services pursuant to this Agreement,  the
Trust  agrees  that you shall not be liable under this  Agreement
for  any  error  of judgment or mistake of law or  for  any  loss
suffered by the Fund in connection with the matters to which this
Agreement relates, provided that nothing in this Agreement  shall
be  deemed  to  protect  or purport to protect  you  against  any
liability to the Trust, the Fund or its shareholders to which you
would otherwise be subject by reason of willful misfeasance,  bad
faith  or gross negligence in the performance of your duties,  or
by  reason  of  your reckless disregard of your  obligations  and
duties hereunder.

8.    Duration and Termination of This Agreement. This  Agreement
shall  remain in force until September 30, 1999, and continue  in
force  from  year to year thereafter, but only so  long  as  such
continuance is specifically approved at least annually (a) by the
vote  of  a majority of the Trustees who are not parties to  this
Agreement  or interested persons of any party to this  Agreement,
cast  in person at a meeting called for the purpose of voting  on
such  approval, and (b) by the Trustees of the Trust, or  by  the
vote  of a majority of the outstanding voting securities  of  the
Fund.   The  aforesaid  requirement  that  continuance  of   this
Agreement be "specifically approved at least annually"  shall  be
construed in a manner consistent with the 1940 Act and the  rules
and regulations thereunder and any applicable SEC exemptive order
therefrom.

This Agreement may be terminated with respect to the Fund at  any
time,  without  the payment of any penalty,  by  the  vote  of  a
majority of the outstanding voting securities of the Fund  or  by
the  Trust's Board of Trustees on 60 days' written notice to you,
or by you on 60 days' written notice to the Trust. This Agreement
shall terminate automatically in the event of its assignment.

This Agreement may be terminated with respect to the Fund 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
the  Fund in the event that it shall have been established  by  a
court  of competent jurisdiction that you or any of your officers
or  directors has taken any action which results in a  breach  of
your covenants set forth herein.

9.    Amendment of this Agreement. No provision of this Agreement
may be changed, waived, discharged or terminated orally, but only
by  an  instrument  in writing signed by the party  against  whom
enforcement  of  the change, waiver, discharge or termination  is
sought,  and  no amendment of this Agreement shall  be  effective
until approved in a manner consistent with the 1940 Act and rules
and regulations thereunder and any applicable SEC exemptive order
therefrom.

10.   Limitation of Liability for Claims. The Declaration, a copy
of which, together with all amendments thereto, is on file in the
Office  of  the  Secretary of the Commonwealth of  Massachusetts,
provides  that the name "Kemper National Tax-Free Income  Series"
refers  to  the  Trustees under the Declaration  collectively  as
Trustees  and  not  as  individuals or personally,  and  that  no
shareholder of the Fund, or Trustee, officer, employee  or  agent
of  the  Trust, shall be subject to claims against or obligations
of  the  Trust or of the Fund to any extent whatsoever, but  that
the Trust estate only shall be liable.

You  are  hereby  expressly put on notice of  the  limitation  of
liability as set forth in the Declaration and you agree that  the
obligations  assumed by the Trust on behalf of the Fund  pursuant
to  this Agreement shall be limited in all cases to the Fund  and
its  assets,  and  you shall not seek satisfaction  of  any  such
obligation from the shareholders or any shareholder of  the  Fund
or  any  other series of the Trust, or from any Trustee, officer,
employee  or agent of the Trust. You understand that  the  rights
and  obligations  of each Fund, or series, under the  Declaration
are separate and distinct from those of any and all other series.

11.   Miscellaneous. The captions in this Agreement are  included
for  convenience of reference only and in no way define or  limit
any   of   the  provisions  hereof  or  otherwise  affect   their
construction   or   effect.  This  Agreement  may   be   executed
simultaneously in two or more counterparts, each of  which  shall
be deemed an original, but all of which together shall constitute
one and the same instrument.

In interpreting the provisions of this Agreement, the definitions
contained  in  Section  2(a) of the 1940  Act  (particularly  the
definitions of "affiliated person," "assignment" and "majority of
the  outstanding  voting  securities"),  as  from  time  to  time
amended,  shall be applied, subject, however, to such  exemptions
as may be granted by the SEC by any rule, regulation or order.

This Agreement shall be construed in accordance with the laws  of
the  Commonwealth of Massachusetts, provided that nothing  herein
shall be construed in a manner inconsistent with the 1940 Act, or
in a manner which would cause the Fund to fail to comply with the
requirements of Subchapter M of the Code.

This  Agreement shall supersede all prior investment advisory  or
management agreements entered into between you and the  Trust  on
behalf of the Fund.

If  you  are in agreement with the foregoing, please execute  the
form of acceptance on the accompanying counterpart of this letter
and  return such counterpart to the Trust, whereupon this  letter
shall become a binding contract effective as of the date of  this
Agreement.
                                   Yours very truly,

                                   KEMPER NATIONAL TAX-FREE
                                   INCOME SERIES, on behalf of
                                   Kemper Municipal Bond Fund

                                   By:
                                      President

The foregoing Agreement is hereby accepted as of the date hereof.

                                   SCUDDER KEMPER INVESTMENTS,
INC.

                                   By:
                                      Treasurer




2

N:\SHAREDAT\CORP_ACT\CONTRACT\KEMPER\KNTIS\IMA\imbf_s98
                INVESTMENT MANAGEMENT AGREEMENT

             Kemper National Tax-Free Income Series
                   222 South Riverside Plaza
                    Chicago, Illinois 60606

                                                September 7, 1998

Scudder Kemper Investments, Inc.
345 Park Avenue
New York, New York 10154

                Investment Management Agreement
            Kemper Intermediate Municipal Bond Fund

Ladies and Gentlemen:

KEMPER  NATIONAL  TAX-FREE INCOME SERIES (the "Trust")  has  been
established  as a Massachusetts business trust to engage  in  the
business  of  an  investment company.  Pursuant  to  the  Trust's
Declaration   of   Trust,  as  amended  from  time-to-time   (the
"Declaration"), the Board of Trustees is authorized to issue  the
Trust's shares of beneficial interest (the "Shares"), in separate
series,  or  funds.  The Board of Trustees has authorized  Kemper
Intermediate  Municipal  Bond Fund (the "Fund").  Series  may  be
abolished and dissolved, and additional series established,  from
time to time by action of the Trustees.

The  Trust, on behalf of the Fund, has selected you to act as the
investment  manager  of  the Fund and to  provide  certain  other
services,  as more fully set forth below, and you have  indicated
that  you  are willing to act as such investment manager  and  to
perform  such services under the terms and conditions hereinafter
set  forth.  Accordingly, the Trust on behalf of the Fund  agrees
with you as follows:

1.    Delivery of Documents. The Trust engages in the business of
investing  and reinvesting the assets of the Fund in  the  manner
and  in  accordance with the investment objectives, policies  and
restrictions specified in the currently effective Prospectus (the
"Prospectus") and Statement of Additional Information (the "SAI")
relating  to  the  Fund  included  in  the  Trust's  Registration
Statement  on  Form  N-1A, as amended from  time  to  time,  (the
"Registration Statement") filed by the Trust under the Investment
Company  Act  of  1940,  as amended, (the  "1940  Act")  and  the
Securities  Act  of  1933, as amended. Copies  of  the  documents
referred to in the preceding sentence have been furnished to  you
by  the  Trust.  The  Trust has also furnished  you  with  copies
properly  certified  or authenticated of each  of  the  following
additional documents related to the Trust and the Fund:

     (a)  The Declaration, as amended to date.

     (b)   By-Laws  of the Trust as in effect on the date  hereof
(the "By- Laws").

     (c)  Resolutions  of  the  Trustees of  the  Trust  and  the
          shareholders  of the Fund selecting you  as  investment
          manager and approving the form of this Agreement.

     (d)  Establishment and Designation of Series  of  Shares  of
          Beneficial   Interest  relating   to   the   Fund,   as
          applicable.

The  Trust  will  furnish  you from time  to  time  with  copies,
properly  certified  or authenticated, of all  amendments  of  or
supplements, if any, to the foregoing, including the  Prospectus,
the SAI and the Registration Statement.

2.    Portfolio Management Services. As manager of the assets  of
the  Fund, you shall provide continuing investment management  of
the  assets  of  the  Fund  in  accordance  with  the  investment
objectives, policies and restrictions set forth in the Prospectus
and  SAI;  the  applicable provisions of the  1940  Act  and  the
Internal  Revenue Code of 1986, as amended, (the "Code") relating
to  regulated investment companies and all rules and  regulations
thereunder; and all other applicable federal and state  laws  and
regulations  of  which  you  have knowledge;  subject  always  to
policies  and  instructions  adopted  by  the  Trust's  Board  of
Trustees.  In  connection  therewith, you  shall  use  reasonable
efforts to manage the Fund so that it will qualify as a regulated
investment company under Subchapter M of the Code and regulations
issued  thereunder.  The  Fund shall  have  the  benefit  of  the
investment analysis and research, the review of current  economic
conditions   and  trends  and  the  consideration  of  long-range
investment policy generally available to your investment advisory
clients. In managing the Fund in accordance with the requirements
set forth in this section 2, you shall be entitled to receive and
act  upon  advice  of counsel to the Trust. You shall  also  make
available  to the Trust promptly upon request all of  the  Fund's
investment  records and ledgers as are necessary  to  assist  the
Trust  in  complying with the requirements of the  1940  Act  and
other  applicable laws. To the extent required by law, you  shall
furnish  to regulatory authorities having the requisite authority
any  information  or  reports  in connection  with  the  services
provided  pursuant to this Agreement which may  be  requested  in
order  to ascertain whether the operations of the Trust are being
conducted  in  a  manner  consistent  with  applicable  laws  and
regulations.

You  shall  determine  the securities, instruments,  investments,
currencies,  repurchase agreements, futures,  options  and  other
contracts  relating  to  investments to  be  purchased,  sold  or
entered  into  by  the Fund and place orders with broker-dealers,
foreign currency dealers, futures commission merchants or  others
pursuant  to your determinations and all in accordance with  Fund
policies  as expressed in the Registration Statement.  You  shall
determine what portion of the Fund's portfolio shall be  invested
in  securities and other assets and what portion, if any,  should
be held uninvested.

You  shall  furnish  to  the Trust's Board of  Trustees  periodic
reports  on  the investment performance of the Fund  and  on  the
performance  of your obligations pursuant to this Agreement,  and
you  shall supply such additional reports and information as  the
Trust's officers or Board of Trustees shall reasonably request.

3.    Administrative  Services.  In  addition  to  the  portfolio
management  services  specified above in  section  2,  you  shall
furnish at your expense for the use of the Fund such office space
and  facilities in the United States as the Fund may require  for
its  reasonable needs, and you (or one or more of your affiliates
designated  by  you)  shall  render to the  Trust  administrative
services on behalf of the Fund necessary for operating as an open
end investment company and not provided by persons not parties to
this  Agreement including, but not limited to, preparing  reports
to  and  meeting materials for the Trust's Board of Trustees  and
reports   and   notices   to   Fund  shareholders;   supervising,
negotiating   contractual  arrangements  with,  to   the   extent
appropriate,  and  monitoring  the  performance  of,   accounting
agents,  custodians, depositories, transfer  agents  and  pricing
agents,  accountants, attorneys, printers, underwriters,  brokers
and dealers, insurers and other persons in any capacity deemed to
be  necessary  or  desirable  to Fund operations;  preparing  and
making  filings with the Securities and Exchange Commission  (the
"SEC")  and  other regulatory and self-regulatory  organizations,
including,  but not limited to, preliminary and definitive  proxy
materials,   post-effective  amendments   to   the   Registration
Statement, semi-annual reports on Form N-SAR and notices pursuant
to  Rule  24f-2 under the 1940 Act; overseeing the tabulation  of
proxies   by  the  Fund's  transfer  agent;  assisting   in   the
preparation and filing of the Fund's federal, state and local tax
returns;  preparing  and  filing the Fund's  federal  excise  tax
return pursuant to Section 4982 of the Code; providing assistance
with  investor  and  public  relations  matters;  monitoring  the
valuation  of  portfolio securities and the  calculation  of  net
asset  value; monitoring the registration of Shares of  the  Fund
under  applicable federal and state securities laws;  maintaining
or  causing to be maintained for the Fund all books, records  and
reports and any other information required under the 1940 Act, to
the  extent  that  such  books, records  and  reports  and  other
information are not maintained by the Fund's custodian  or  other
agents  of  the  Fund; assisting in establishing  the  accounting
policies  of the Fund; assisting in the resolution of  accounting
issues  that may arise with respect to the Fund's operations  and
consulting with the Fund's independent accountants, legal counsel
and the Fund's other agents as necessary in connection therewith;
establishing and monitoring the Fund's operating expense budgets;
reviewing the Fund's bills; processing the payment of bills  that
have been approved by an authorized person; assisting the Fund in
determining  the amount of dividends and distributions  available
to  be  paid  by  the  Fund  to its shareholders,  preparing  and
arranging  for  the printing of dividend notices to shareholders,
and  providing  the  transfer  and  dividend  paying  agent,  the
custodian, and the accounting agent with such information  as  is
required for such parties to effect the payment of dividends  and
distributions;  and  otherwise assisting  the  Trust  as  it  may
reasonably request in the conduct of the Fund's business, subject
to  the  direction and control of the Trust's Board of  Trustees.
Nothing in this Agreement shall be deemed to shift to you  or  to
diminish  the obligations of any agent of the Fund or  any  other
person  not  a  party  to this Agreement which  is  obligated  to
provide services to the Fund.

4.    Allocation  of  Charges and Expenses. Except  as  otherwise
specifically  provided  in this section  4,  you  shall  pay  the
compensation and expenses of all Trustees, officers and executive
employees  of  the Trust (including the Fund's share  of  payroll
taxes)  who  are  affiliated persons of you, and you  shall  make
available, without expense to the Fund, the services of  such  of
your  directors,  officers and employees as may duly  be  elected
officers  of  the Trust, subject to their individual  consent  to
serve and to any limitations imposed by law. You shall provide at
your  expense  the  portfolio management  services  described  in
section  2  hereof and the administrative services  described  in
section 3 hereof.

You  shall not be required to pay any expenses of the Fund  other
than  those specifically allocated to you in this section  4.  In
particular, but without limiting the generality of the foregoing,
you  shall  not  be  responsible, except to  the  extent  of  the
reasonable  compensation  of  such of  the  Fund's  Trustees  and
officers  as  are directors, officers or employees of  you  whose
services may be involved, for the following expenses of the Fund:
organization  expenses  of  the  Fund  (including  out  of-pocket
expenses,  but  not including your overhead or  employee  costs);
fees   payable  to  you  and  to  any  other  Fund  advisors   or
consultants;  legal  expenses; auditing and accounting  expenses;
maintenance  of  books  and  records which  are  required  to  be
maintained by the Fund's custodian or other agents of the  Trust;
telephone,  telex,  facsimile, postage and  other  communications
expenses;  taxes and governmental fees; fees, dues  and  expenses
incurred  by the Fund in connection with membership in investment
company  trade  organizations; fees and expenses  of  the  Fund's
accounting  agent for which the Trust is responsible pursuant  to
the  terms of the Fund Accounting Services Agreement, custodians,
subcustodians,  transfer agents, dividend disbursing  agents  and
registrars;  payment for portfolio pricing or valuation  services
to pricing agents, accountants, bankers and other specialists, if
any;  expenses  of preparing share certificates  and,  except  as
provided  below in this section 4, other expenses  in  connection
with  the  issuance, offering, distribution, sale, redemption  or
repurchase of securities issued by the Fund; expenses relating to
investor  and public relations; expenses and fees of  registering
or qualifying Shares of the Fund for sale; interest charges, bond
premiums  and  other  insurance expense; freight,  insurance  and
other  charges  in  connection with the shipment  of  the  Fund's
portfolio   securities;  the  compensation   and   all   expenses
(specifically  including  travel  expenses  relating   to   Trust
business)  of Trustees, officers and employees of the  Trust  who
are not affiliated persons of you; brokerage commissions or other
costs  of  acquiring or disposing of any portfolio securities  of
the  Fund; expenses of printing and distributing reports, notices
and  dividends to shareholders; expenses of printing and  mailing
Prospectuses and SAIs of the Fund and supplements thereto;  costs
of   stationery;  any  litigation  expenses;  indemnification  of
Trustees  and  officers of the Trust; and costs of  shareholders'
and other meetings.

You  shall not be required to pay expenses of any activity  which
is primarily intended to result in sales of Shares of the Fund if
and to the extent that (i) such expenses are required to be borne
by  a principal underwriter which acts as the distributor of  the
Fund's  Shares  pursuant  to  an  underwriting  agreement   which
provides  that the underwriter shall assume some or all  of  such
expenses,  or  (ii) the Trust on behalf of the  Fund  shall  have
adopted  a plan in conformity with Rule 12b-1 under the 1940  Act
providing  that the Fund (or some other party) shall assume  some
or all of such expenses. You shall be required to pay such of the
foregoing  sales expenses as are not required to be paid  by  the
principal  underwriter pursuant to the underwriting agreement  or
are  not  permitted to be paid by the Fund (or some other  party)
pursuant to such a plan.

5.   Management Fee. For all services to be rendered, payments to
be made and costs to be assumed by you as provided in sections 2,
3, and 4 hereof, the Trust on behalf of the Fund shall pay you in
United  States Dollars on the last day of each month  the  unpaid
balance  of  a fee equal to the excess of (a) 1/12 of  .55  of  1
percent of the average daily net assets as defined below  of  the
Fund for such month; provided that, for any calendar month during
which  the  average of such values exceeds $250,000,000  the  fee
payable  for  that month based on the portion of the  average  of
such  values in excess of $250,000,000 shall be 1/12 of .52 of  1
percent  of  such portion; provided that, for any calendar  month
during  which  the average of such values exceeds $1,000,000,000,
the  fee  payable  for that month based on  the  portion  of  the
average of such values in excess of $1,000,000,000 shall be  1/12
of  .50  of  1  percent of such portion; provided that,  for  any
calendar  month  during which the average of such values  exceeds
$2,500,000,000,  the  fee payable for that  month  based  on  the
portion of the average of such values in excess of $2,500,000,000
shall be 1/12 of .48 of 1 percent of such portion; provided that,
for  any  calendar month during which the average of such  values
exceeds  $5,000,000,000, the fee payable for that month based  on
the  portion  of  the  average  of  such  values  in  excess   of
$5,000,000,000 shall be 1/12 of .45 of 1 percent of such portion;
provided that, for any calendar month during which the average of
such  values  exceeds $7,500,000,000, the fee  payable  for  that
month  based  on  the portion of the average of  such  values  in
excess  of  $7,500,000,000 shall be 1/12 of  .43 of 1 percent  of
such  portion; provided that, for any calendar month during which
the  average  of  such  values exceeds  10,000,000,000,  the  fee
payable  for  that month based on the portion of the  average  of
such values in excess of $10,000,000,000 shall be 1/12 of .41  of
1  percent  of such portion; and provided that, for any  calendar
month   during   which  the  average  of  such   values   exceeds
12,500,000,000,  the  fee payable for that  month  based  on  the
portion   of   the   average  of  such  values   in   excess   of
$12,500,000,000  shall  be  1/12 of .40  of  1  percent  of  such
portion;  over (b) any compensation waived by you  from  time  to
time  (as  more fully described below). You shall be entitled  to
receive  during  any  month such interim  payments  of  your  fee
hereunder  as  you shall request, provided that no  such  payment
shall exceed 75 percent of the amount of your fee then accrued on
the books of the Fund and unpaid.

The "average daily net assets" of the Fund shall mean the average
of  the  values placed on the Fund's net assets as of  4:00  p.m.
(New  York time) on each day on which the net asset value of  the
Fund  is determined consistent with the provisions of Rule  22c-1
under  the 1940 Act or, if the Fund lawfully determines the value
of  its net assets as of some other time on each business day, as
of  such  time.  The value of the net assets of  the  Fund  shall
always be determined pursuant to the applicable provisions of the
Declaration  and the Registration Statement. If the determination
of  net  asset value does not take place for any particular  day,
then  for  the purposes of this section 5, the value of  the  net
assets  of the Fund as last determined shall be deemed to be  the
value of its net assets as of 4:00 p.m. (New York time), or as of
such  other  time as the value of the net assets  of  the  Fund's
portfolio  may be lawfully determined on that day.  If  the  Fund
determines the value of the net assets of its portfolio more than
once on any day, then the last such determination thereof on that
day  shall be deemed to be the sole determination thereof on that
day for the purposes of this section 5.

You  may  waive  all  or  a  portion of your  fees  provided  for
hereunder and such waiver shall be treated as a reduction
in  purchase  price of your services. You shall be  contractually
bound hereunder by the terms of any publicly announced waiver  of
your  fee, or any limitation of the Fund's expenses, as  if  such
waiver or limitation were fully set forth herein.

6.    Avoidance of Inconsistent Position; Services Not Exclusive.
In connection with purchases or sales of portfolio securities and
other  investments for the account of the Fund, neither  you  nor
any  of  your  directors, officers or employees shall  act  as  a
principal  or agent or receive any commission. You or your  agent
shall arrange for the placing of all orders for the purchase  and
sale of portfolio securities and other investments for the Fund's
account  with  brokers or dealers selected by you  in  accordance
with Fund policies as expressed in the Registration Statement. If
any occasion should arise in which you give any advice to clients
of  yours concerning the Shares of the Fund, you shall act solely
as  investment  counsel for such clients and not in  any  way  on
behalf of the Fund.

Your  services to the Fund pursuant to this Agreement are not  to
be  deemed  to  be exclusive and it is understood  that  you  may
render  investment advice, management and services to others.  In
acting   under  this  Agreement,  you  shall  be  an  independent
contractor and not an agent of the Trust. Whenever the  Fund  and
one or more other accounts or investment companies advised by you
have  available  funds for investment, investments  suitable  and
appropriate  for  each  shall  be allocated  in  accordance  with
procedures  believed  by  you to be  equitable  to  each  entity.
Similarly, opportunities to sell securities shall be allocated in
a  manner  believed by you to be equitable. The  Fund  recognizes
that  in some cases this procedure may adversely affect the  size
of the position that may be acquired or disposed of for the Fund.

7.   Limitation of Liability of Manager. As an inducement to your
undertaking  to  render services pursuant to this Agreement,  the
Trust  agrees  that you shall not be liable under this  Agreement
for  any  error  of judgment or mistake of law or  for  any  loss
suffered by the Fund in connection with the matters to which this
Agreement relates, provided that nothing in this Agreement  shall
be  deemed  to  protect  or purport to protect  you  against  any
liability to the Trust, the Fund or its shareholders to which you
would otherwise be subject by reason of willful misfeasance,  bad
faith  or gross negligence in the performance of your duties,  or
by  reason  of  your reckless disregard of your  obligations  and
duties hereunder.

8.    Duration and Termination of This Agreement. This  Agreement
shall  remain in force until September 30, 1999, and continue  in
force  from  year to year thereafter, but only so  long  as  such
continuance is specifically approved at least annually (a) by the
vote  of  a majority of the Trustees who are not parties to  this
Agreement  or interested persons of any party to this  Agreement,
cast  in person at a meeting called for the purpose of voting  on
such  approval, and (b) by the Trustees of the Trust, or  by  the
vote  of a majority of the outstanding voting securities  of  the
Fund.   The  aforesaid  requirement  that  continuance  of   this
Agreement be "specifically approved at least annually"  shall  be
construed in a manner consistent with the 1940 Act and the  rules
and regulations thereunder and any applicable SEC exemptive order
therefrom.

This Agreement may be terminated with respect to the Fund at  any
time,  without  the payment of any penalty,  by  the  vote  of  a
majority of the outstanding voting securities of the Fund  or  by
the  Trust's Board of Trustees on 60 days' written notice to you,
or by you on 60 days' written notice to the Trust. This Agreement
shall terminate automatically in the event of its assignment.

This Agreement may be terminated with respect to the Fund 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
the  Fund in the event that it shall have been established  by  a
court  of competent jurisdiction that you or any of your officers
or  directors has taken any action which results in a  breach  of
your covenants set forth herein.

9.    Amendment of this Agreement. No provision of this Agreement
may be changed, waived, discharged or terminated orally, but only
by  an  instrument  in writing signed by the party  against  whom
enforcement  of  the change, waiver, discharge or termination  is
sought,  and  no amendment of this Agreement shall  be  effective
until approved in a manner consistent with the 1940 Act and rules
and regulations thereunder and any applicable SEC exemptive order
therefrom.

10.   Limitation of Liability for Claims. The Declaration, a copy
of which, together with all amendments thereto, is on file in the
Office  of  the  Secretary of the Commonwealth of  Massachusetts,
provides  that the name "Kemper National Tax-Free Income  Series"
refers  to  the  Trustees under the Declaration  collectively  as
Trustees  and  not  as  individuals or personally,  and  that  no
shareholder of the Fund, or Trustee, officer, employee  or  agent
of  the  Trust, shall be subject to claims against or obligations
of  the  Trust or of the Fund to any extent whatsoever, but  that
the Trust estate only shall be liable.

You  are  hereby  expressly put on notice of  the  limitation  of
liability as set forth in the Declaration and you agree that  the
obligations  assumed by the Trust on behalf of the Fund  pursuant
to  this Agreement shall be limited in all cases to the Fund  and
its  assets,  and  you shall not seek satisfaction  of  any  such
obligation from the shareholders or any shareholder of  the  Fund
or  any  other series of the Trust, or from any Trustee, officer,
employee  or agent of the Trust. You understand that  the  rights
and  obligations  of each Fund, or series, under the  Declaration
are separate and distinct from those of any and all other series.

11.   Miscellaneous. The captions in this Agreement are  included
for  convenience of reference only and in no way define or  limit
any   of   the  provisions  hereof  or  otherwise  affect   their
construction   or   effect.  This  Agreement  may   be   executed
simultaneously in two or more counterparts, each of  which  shall
be deemed an original, but all of which together shall constitute
one and the same instrument.

In interpreting the provisions of this Agreement, the definitions
contained  in  Section  2(a) of the 1940  Act  (particularly  the
definitions of "affiliated person," "assignment" and "majority of
the  outstanding  voting  securities"),  as  from  time  to  time
amended,  shall be applied, subject, however, to such  exemptions
as may be granted by the SEC by any rule, regulation or order.

This Agreement shall be construed in accordance with the laws  of
the  Commonwealth of Massachusetts, provided that nothing  herein
shall be construed in a manner inconsistent with the 1940 Act, or
in a manner which would cause the Fund to fail to comply with the
requirements of Subchapter M of the Code.

This  Agreement shall supersede all prior investment advisory  or
management agreements entered into between you and the  Trust  on
behalf of the Fund.

If  you  are in agreement with the foregoing, please execute  the
form of acceptance on the accompanying counterpart of this letter
and  return such counterpart to the Trust, whereupon this  letter
shall become a binding contract effective as of the date of  this
Agreement.

                                   Yours very truly,

                                   KEMPER    NATIONAL    TAX-FREE
                                   INCOME  SERIES, on  behalf  of
                                   Kemper  Intermediate Municipal
                                   Bond Fund

                                   By:
                                      President


The foregoing Agreement is hereby accepted as of the date hereof.


                                   SCUDDER   KEMPER  INVESTMENTS,
INC.

                                   By:
                                      Treasurer





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