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<PAGE> PAGE 2
015 A000001 STATE STREET BANK AND TRUST COMPANY
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<PAGE> PAGE 3
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<PAGE> PAGE 4
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<PAGE> PAGE 6
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<PAGE> PAGE 7
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<PAGE> PAGE 8
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<PAGE> PAGE 9
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SIGNATURE JEROME L DUFFY
TITLE TREASURER
<TABLE> <S> <C>
<ARTICLE> 6
<LEGEND>
THIS SCHEDULE CONTAINS SUMMARY FINANCIAL INFORMATION EXTRACTED FROM THE 1995
SEMI-ANNUAL REPORT TO SHAREHOLDERS AND IS QUALIFIED IN ITS ENTIRETY BY REFERENCE
TO SUCH FINANCIAL STATEMENTS.
</LEGEND>
<CIK> 0000846596
<NAME> KEMPER STRATEGIC MUNICIPAL INCOME TRUST
<MULTIPLIER> 1000
<S> <C>
<PERIOD-TYPE> 6-MOS
<FISCAL-YEAR-END> NOV-30-1995
<PERIOD-END> MAY-31-1995
<INVESTMENTS-AT-COST> 113,746
<INVESTMENTS-AT-VALUE> 124,325
<RECEIVABLES> 3,157
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<OTHER-ITEMS-ASSETS> 0
<TOTAL-ASSETS> 127,883
<PAYABLE-FOR-SECURITIES> 1,146
<SENIOR-LONG-TERM-DEBT> 0
<OTHER-ITEMS-LIABILITIES> 85
<TOTAL-LIABILITIES> 1,231
<SENIOR-EQUITY> 0
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<ACCUMULATED-NET-GAINS> (462)
<OVERDISTRIBUTION-GAINS> 0
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<PER-SHARE-NAV-BEGIN> 11.54
<PER-SHARE-NII> .42
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<PER-SHARE-NAV-END> 12.10
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</TABLE>
