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SIGNATURE JEROME L. DUFFY
TITLE TREASURER
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<DISTRIBUTIONS-OF-INCOME> (94)
<DISTRIBUTIONS-OF-GAINS> (33)
<DISTRIBUTIONS-OTHER> 0
<NUMBER-OF-SHARES-SOLD> 132
<NUMBER-OF-SHARES-REDEEMED> (36)
<SHARES-REINVESTED> 9
<NET-CHANGE-IN-ASSETS> (139,443)
<ACCUMULATED-NII-PRIOR> 0
<ACCUMULATED-GAINS-PRIOR> (2,168)
<OVERDISTRIB-NII-PRIOR> 0
<OVERDIST-NET-GAINS-PRIOR> 0
<GROSS-ADVISORY-FEES> 6,825
<INTEREST-EXPENSE> 0
<GROSS-EXPENSE> 11,409
<AVERAGE-NET-ASSETS> 3,286,923
<PER-SHARE-NAV-BEGIN> 10.18
<PER-SHARE-NII> .23
<PER-SHARE-GAIN-APPREC> (.04)
<PER-SHARE-DIVIDEND> (.23)
<PER-SHARE-DISTRIBUTIONS> (.07)
<RETURNS-OF-CAPITAL> 0
<PER-SHARE-NAV-END> 10.07
<EXPENSE-RATIO> 1.53
<AVG-DEBT-OUTSTANDING> 0
<AVG-DEBT-PER-SHARE> 0
</TABLE>
<TABLE> <S> <C>
<ARTICLE> 6
<LEGEND>
PER SHARE AND RATIO INFORMATION IS SHOWN AT THE CLASS LEVEL. ALL OTHER
INFORMATION IS COMBINED FOR ALL CLASSES. THIS SCHEDULE CONTAINS SUMMARY
FINANCIAL INFORMATION EXTRACTED FROM THE 1997 SEMIANNUAL REPORT TO
SHAREHOLDERS AND IS QUALIFIED IN ITS ENTIRETY BY REFERENCE TO SUCH FINANCIAL
STATEMENTS.
</LEGEND>
<CIK> 0000055190
<NAME> KEMPER NATIONAL TAX-FREE INCOME SERIES
<SERIES>
<NUMBER> 014
<NAME> KEMPER MUNCIPAL BOND FUND - CLASS I
<MULTIPLIER> 1000
<S> <C>
<PERIOD-TYPE> 6-MOS
<FISCAL-YEAR-END> SEP-30-1997
<PERIOD-START> OCT-01-1996
<PERIOD-END> MAR-31-1997
<INVESTMENTS-AT-COST> 3,012,263
<INVESTMENTS-AT-VALUE> 3,121,156
<RECEIVABLES> 75,925
<ASSETS-OTHER> 2,272
<OTHER-ITEMS-ASSETS> 0
<TOTAL-ASSETS> 3,199,353
<PAYABLE-FOR-SECURITIES> 8,805
<SENIOR-LONG-TERM-DEBT> 0
<OTHER-ITEMS-LIABILITIES> 8,445
<TOTAL-LIABILITIES> 17,250
<SENIOR-EQUITY> 0
<PAID-IN-CAPITAL-COMMON> 3,061,997
<SHARES-COMMON-STOCK> 30
<SHARES-COMMON-PRIOR> 30
<ACCUMULATED-NII-CURRENT> 0
<OVERDISTRIBUTION-NII> 0
<ACCUMULATED-NET-GAINS> 11,213
<OVERDISTRIBUTION-GAINS> 0
<ACCUM-APPREC-OR-DEPREC> 108,893
<NET-ASSETS> 3,182,103
<DIVIDEND-INCOME> 0
<INTEREST-INCOME> 98,765
<OTHER-INCOME> 0
<EXPENSES-NET> (11,409)
<NET-INVESTMENT-INCOME> 87,356
<REALIZED-GAINS-CURRENT> 39,036
<APPREC-INCREASE-CURRENT> (51,263)
<NET-CHANGE-FROM-OPS> 75,129
<EQUALIZATION> 0
<DISTRIBUTIONS-OF-INCOME> (8)
<DISTRIBUTIONS-OF-GAINS> (2)
<DISTRIBUTIONS-OTHER> 0
<NUMBER-OF-SHARES-SOLD> 0
<NUMBER-OF-SHARES-REDEEMED> 0
<SHARES-REINVESTED> 0
<NET-CHANGE-IN-ASSETS> (139,443)
<ACCUMULATED-NII-PRIOR> 0
<ACCUMULATED-GAINS-PRIOR> (2,168)
<OVERDISTRIB-NII-PRIOR> 0
<OVERDIST-NET-GAINS-PRIOR> 0
<GROSS-ADVISORY-FEES> 6,825
<INTEREST-EXPENSE> 0
<GROSS-EXPENSE> 11,409
<AVERAGE-NET-ASSETS> 3,286,923
<PER-SHARE-NAV-BEGIN> 10.18
<PER-SHARE-NII> .28
<PER-SHARE-GAIN-APPREC> (.05)
<PER-SHARE-DIVIDEND> (.28)
<PER-SHARE-DISTRIBUTIONS> (.07)
<RETURNS-OF-CAPITAL> 0
<PER-SHARE-NAV-END> 10.06
<EXPENSE-RATIO> .57
<AVG-DEBT-OUTSTANDING> 0
<AVG-DEBT-PER-SHARE> 0
</TABLE>
<TABLE> <S> <C>
<ARTICLE> 6
<LEGEND>
PER SHARE AND RATIO INFORMATION IS SHOWN AT THE CLASS LEVEL. ALL OTHER
INFORMATION IS COMBINED FOR ALL CLASSES. THIS SCHEDULE CONTAINS SUMMARY
FINANCIAL INFORMATION EXTRACTED FROM THE 1997 SEMIANNUAL REPORT TO
SHAREHOLDERS AND IS QUALIFIED IN ITS ENTIRETY BY REFERENCE TO SUCH FINANCIAL
STATEMENTS.
</LEGEND>
<CIK> 0000055190
<NAME> KEMPER NATIONAL TAX-FREE INCOME SERIES
<SERIES>
<NUMBER> 021
<NAME> KEMPER INTERMEDIATE MUNCIPAL BOND FUND - CLASS A
<MULTIPLIER> 1000
<S> <C>
<PERIOD-TYPE> 6-MOS
<FISCAL-YEAR-END> SEP-30-1997
<PERIOD-START> OCT-01-1996
<PERIOD-END> MAR-31-1997
<INVESTMENTS-AT-COST> 19,311
<INVESTMENTS-AT-VALUE> 19,825
<RECEIVABLES> 345
<ASSETS-OTHER> 46
<OTHER-ITEMS-ASSETS> 0
<TOTAL-ASSETS> 20,216
<PAYABLE-FOR-SECURITIES> 301
<SENIOR-LONG-TERM-DEBT> 0
<OTHER-ITEMS-LIABILITIES> 44
<TOTAL-LIABILITIES> 345
<SENIOR-EQUITY> 0
<PAID-IN-CAPITAL-COMMON> 19,333
<SHARES-COMMON-STOCK> 1,511
<SHARES-COMMON-PRIOR> 1,677
<ACCUMULATED-NII-CURRENT> 0
<OVERDISTRIBUTION-NII> 0
<ACCUMULATED-NET-GAINS> 24
<OVERDISTRIBUTION-GAINS> 0
<ACCUM-APPREC-OR-DEPREC> 514
<NET-ASSETS> 19,871
<DIVIDEND-INCOME> 0
<INTEREST-INCOME> 594
<OTHER-INCOME> 0
<EXPENSES-NET> (120)
<NET-INVESTMENT-INCOME> 474
<REALIZED-GAINS-CURRENT> 147
<APPREC-INCREASE-CURRENT> (115)
<NET-CHANGE-FROM-OPS> 506
<EQUALIZATION> 0
<DISTRIBUTIONS-OF-INCOME> (377)
<DISTRIBUTIONS-OF-GAINS> (55)
<DISTRIBUTIONS-OTHER> 0
<NUMBER-OF-SHARES-SOLD> 226
<NUMBER-OF-SHARES-REDEEMED> (420)
<SHARES-REINVESTED> 28
<NET-CHANGE-IN-ASSETS> (2,030)
<ACCUMULATED-NII-PRIOR> 0
<ACCUMULATED-GAINS-PRIOR> (50)
<OVERDISTRIB-NII-PRIOR> 0
<OVERDIST-NET-GAINS-PRIOR> 0
<GROSS-ADVISORY-FEES> 59
<INTEREST-EXPENSE> 0
<GROSS-EXPENSE> 120
<AVERAGE-NET-ASSETS> 21,567
<PER-SHARE-NAV-BEGIN> 10.06
<PER-SHARE-NII> .23
<PER-SHARE-GAIN-APPREC> .01
<PER-SHARE-DIVIDEND> (.23)
<PER-SHARE-DISTRIBUTIONS> (.04)
<RETURNS-OF-CAPITAL> 0
<PER-SHARE-NAV-END> 10.03
<EXPENSE-RATIO> .93
<AVG-DEBT-OUTSTANDING> 0
<AVG-DEBT-PER-SHARE> 0
</TABLE>
WARNING: THE EDGAR SYSTEM ENCOUNTERED ERROR(S) WHILE PROCESSING THIS SCHEDULE.
<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 1997 SEMIANNUAL REPORT TO
SHAREHOLDERS AND IS QUALIFIED IN ITS ENTIRETY BY REFERENCE TO SUCH FINANCIAL
STATEMENTS.
</LEGEND>
<CIK> 0000055190
<NAME> KEMPER NATIONAL TAX-FREE INCOME SERIES
<SERIES>
<NUMBER> 022
<NAME> KEMPER INTERMEDIATE MUNCIPAL BOND FUND - CLASS B
<MULTIPLIER> 1000
<S> <C>
<PERIOD-TYPE> 6-MOS
<FISCAL-YEAR-END> SEP-30-1997
<PERIOD-START> OCT-01-1996
<PERIOD-END> MAR-31-1997
<INVESTMENTS-AT-COST> 19,311
<INVESTMENTS-AT-VALUE> 19,825
<RECEIVABLES> 345
<ASSETS-OTHER> 46
<OTHER-ITEMS-ASSETS> 0
<TOTAL-ASSETS> 20,216
<PAYABLE-FOR-SECURITIES> 301
<SENIOR-LONG-TERM-DEBT> 0
<OTHER-ITEMS-LIABILITIES> 44
<TOTAL-LIABILITIES> 345
<SENIOR-EQUITY> 0
<PAID-IN-CAPITAL-COMMON> 19,333
<SHARES-COMMON-STOCK> 388
<SHARES-COMMON-PRIOR> 431
<ACCUMULATED-NII-CURRENT> 0
<OVERDISTRIBUTION-NII> 0
<ACCUMULATED-NET-GAINS> 24
<OVERDISTRIBUTION-GAINS> 0
<ACCUM-APPREC-OR-DEPREC> 514
<NET-ASSETS> 19,871
<DIVIDEND-INCOME> 0
<INTEREST-INCOME> 594
<OTHER-INCOME> 0
<EXPENSES-NET> (120)
<NET-INVESTMENT-INCOME> 474
/<REALIZED-GAINS-CURRENT> 147
<APPREC-INCREASE-CURRENT> (115)
<NET-CHANGE-FROM-OPS> 506
<EQUALIZATION> 0
<DISTRIBUTIONS-OF-INCOME> (81)
<DISTRIBUTIONS-OF-GAINS> (15)
<DISTRIBUTIONS-OTHER> 0
<NUMBER-OF-SHARES-SOLD> 34
<NUMBER-OF-SHARES-REDEEMED> (83)
<SHARES-REINVESTED> 6
<NET-CHANGE-IN-ASSETS> (2,030)
<ACCUMULATED-NII-PRIOR> 0
<ACCUMULATED-GAINS-PRIOR> (50)
<OVERDISTRIB-NII-PRIOR> 0
<OVERDIST-NET-GAINS-PRIOR> 0
<GROSS-ADVISORY-FEES> 59
<INTEREST-EXPENSE> 0
<GROSS-EXPENSE> 120
<AVERAGE-NET-ASSETS> 21,567
<PER-SHARE-NAV-BEGIN> 10.06
<PER-SHARE-NII> .19
<PER-SHARE-GAIN-APPREC> 0
<PER-SHARE-DIVIDEND> (.19)
<PER-SHARE-DISTRIBUTIONS> (.04)
<RETURNS-OF-CAPITAL> 0
<PER-SHARE-NAV-END> 10.02
<EXPENSE-RATIO> 1.70
<AVG-DEBT-OUTSTANDING> 0
<AVG-DEBT-PER-SHARE> 0
</TABLE>
<TABLE> <S> <C>
<ARTICLE> 6
<LEGEND>
PER SHARE AND RATIO INFORMATION IS SHOWN AT THE CLASS LEVEL. ALL OTHER
INFORMATION IS COMBINED FOR ALL CLASSES. THIS SCHEDULE CONTAINS SUMMARY
FINANCIAL INFORMATION EXTRACTED FROM THE 1997 SEMIANNUAL REPORT TO
SHAREHOLDERS AND IS QUALIFIED IN ITS ENTIRETY BY REFERENCE TO SUCH FINANCIAL
STATEMENTS.
</LEGEND>
<CIK> 0000055190
<NAME> KEMPER NATIONAL TAX-FREE INCOME SERIES
<SERIES>
<NUMBER> 023
<NAME> KEMPER INTERMEDIATE MUNCIPAL BOND FUND - CLASS C
<MULTIPLIER> 1000
<S> <C>
<PERIOD-TYPE> 6-MOS
<FISCAL-YEAR-END> SEP-30-1997
<PERIOD-START> OCT-01-1996
<PERIOD-END> MAR-31-1997
<INVESTMENTS-AT-COST> 19,311
<INVESTMENTS-AT-VALUE> 19,825
<RECEIVABLES> 345
<ASSETS-OTHER> 46
<OTHER-ITEMS-ASSETS> 0
<TOTAL-ASSETS> 20,216
<PAYABLE-FOR-SECURITIES> 301
<SENIOR-LONG-TERM-DEBT> 0
<OTHER-ITEMS-LIABILITIES> 44
<TOTAL-LIABILITIES> 345
<SENIOR-EQUITY> 0
<PAID-IN-CAPITAL-COMMON> 19,333
<SHARES-COMMON-STOCK> 83
<SHARES-COMMON-PRIOR> 69
<ACCUMULATED-NII-CURRENT> 0
<OVERDISTRIBUTION-NII> 0
<ACCUMULATED-NET-GAINS> 24
<OVERDISTRIBUTION-GAINS> 0
<ACCUM-APPREC-OR-DEPREC> 514
<NET-ASSETS> 19,871
<DIVIDEND-INCOME> 0
<INTEREST-INCOME> 594
<OTHER-INCOME> 0
<EXPENSES-NET> (120)
<NET-INVESTMENT-INCOME> 474
<REALIZED-GAINS-CURRENT> 147
<APPREC-INCREASE-CURRENT> (115)
<NET-CHANGE-FROM-OPS> 506
<EQUALIZATION> 0
<DISTRIBUTIONS-OF-INCOME> (16)
<DISTRIBUTIONS-OF-GAINS> (3)
<DISTRIBUTIONS-OTHER> 0
<NUMBER-OF-SHARES-SOLD> 27
<NUMBER-OF-SHARES-REDEEMED> (14)
<SHARES-REINVESTED> 1
<NET-CHANGE-IN-ASSETS> (2,030)
<ACCUMULATED-NII-PRIOR> 0
<ACCUMULATED-GAINS-PRIOR> (50)
<OVERDISTRIB-NII-PRIOR> 0
<OVERDIST-NET-GAINS-PRIOR> 0
<GROSS-ADVISORY-FEES> 59
<INTEREST-EXPENSE> 0
<GROSS-EXPENSE> 120
<AVERAGE-NET-ASSETS> 21,567
<PER-SHARE-NAV-BEGIN> 10.06
<PER-SHARE-NII> .19
<PER-SHARE-GAIN-APPREC> .01
<PER-SHARE-DIVIDEND> (.19)
<PER-SHARE-DISTRIBUTIONS> (.04)
<RETURNS-OF-CAPITAL> 0
<PER-SHARE-NAV-END> 10.03
<EXPENSE-RATIO> 1.74
<AVG-DEBT-OUTSTANDING> 0
<AVG-DEBT-PER-SHARE> 0
</TABLE>
