<PAGE> PAGE 1
000 A000000 05/31/95
000 C000000 0000832925
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 INTERMEDIATE GOVERNMENT TRUST
001 B000000 811-5539
001 C000000 3127811121
002 A000000 120 S. LASALLE STREET
002 B000000 CHICAGO
002 C000000 IL
002 D010000 60603
003 000000 N
004 000000 N
005 000000 N
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008 A000001 KEMPER FINANCIAL SERVICES, INC.
008 B000001 A
008 C000001 801-6634
008 D010001 CHICAGO
008 D020001 IL
008 D030001 60603
012 A000001 KEMPER SERVICE COMPANY
012 B000001 84-1713
012 C010001 KANSAS CITY
012 C020001 MO
012 C030001 64105
013 A000001 ERNST & YOUNG LLP
013 B010001 CHICAGO
013 B020001 IL
013 B030001 60606
014 A000001 KEMPER SECURITIES, INC.
014 B000001 8-37180
014 A000002 KEMPER DISTRIBUTORS, INC.
014 B000002 8-47765
<PAGE> PAGE 2
015 A000001 INVESTORS FIDUCIARY TRUST COMPANY
015 B000001 C
015 C010001 KANSAS CITY
015 C020001 MO
015 C030001 64105
015 E010001 X
015 A000002 STATE STREET BANK AND TRUST COMPANY
015 B000002 S
015 C010002 BOSTON
015 C020002 MA
015 C030002 02110
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020 A000001 MERRILL LYNCH, PIERCE, FENNER & SMITH INC.
020 B000001 13-5674085
020 C000001 23
020 A000002 GOLDMAN SACHS & CO.
020 B000002 13-5108880
020 C000002 11
020 A000003 PAINE WEBBER INCORPORATED
020 B000003 13-2638166
020 C000003 4
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022 A000001 MERRILL LYNCH, PIERCE, FENNER, & SMITH INC.
022 B000001 13-5674085
022 C000001 533222
022 D000001 139998
022 A000002 THE FIRST NATIONAL BANK OF CHICAGO
022 B000002 36-0899825
022 C000002 284769
022 D000002 251078
022 A000003 J.P. MORGAN SECURITIES INC.
022 B000003 13-3224016
022 C000003 223718
022 D000003 127711
022 A000004 SALOMON BROTHERS INC.
022 B000004 13-3082694
022 C000004 155917
022 D000004 163291
022 A000005 BEAR STERNS & CO. INC.
022 B000005 13-3299429
022 C000005 135360
<PAGE> PAGE 3
022 D000005 150123
022 A000006 GOLDMAN, SACHS & CO.
022 B000006 13-5108880
022 C000006 117392
022 D000006 122522
022 A000007 UBS SECURITIES INC.
022 B000007 13-2932996
022 C000007 89526
022 D000007 130969
022 A000008 MORGAN STANLEY & CO. INCORPORATED
022 B000008 13-2655998
022 C000008 111794
022 D000008 77920
022 A000009 THE FIRST BOSTON CORPORATION
022 B000009 13-5659485
022 C000009 80570
022 D000009 87896
022 A000010 DONALDSON, LUFKIN & JENRETTE SECURITIES CORP.
022 B000010 13-2741729
022 C000010 72884
022 D000010 40598
023 C000000 1925100
023 D000000 1426859
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<PAGE> PAGE 4
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<PAGE> PAGE 5
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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> 0000832925
<NAME> KEMPER INTERMEDIATE GOVERNMENT TRUST
<MULTIPLIER> 1000
<S> <C>
<PERIOD-TYPE> 6-MOS
<FISCAL-YEAR-END> NOV-30-1995
<PERIOD-END> MAY-31-1995
<INVESTMENTS-AT-COST> 279,045
<INVESTMENTS-AT-VALUE> 288,164
<RECEIVABLES> 5,321
<ASSETS-OTHER> 0
<OTHER-ITEMS-ASSETS> 0
<TOTAL-ASSETS> 293,485
<PAYABLE-FOR-SECURITIES> 14,550
<SENIOR-LONG-TERM-DEBT> 0
<OTHER-ITEMS-LIABILITIES> 552
<TOTAL-LIABILITIES> 15,102
<SENIOR-EQUITY> 0
<PAID-IN-CAPITAL-COMMON> 315,523
<SHARES-COMMON-STOCK> 33,996
<SHARES-COMMON-PRIOR> 33,996
<ACCUMULATED-NII-CURRENT> 254
<OVERDISTRIBUTION-NII> 0
<ACCUMULATED-NET-GAINS> (46,513)
<OVERDISTRIBUTION-GAINS> 0
<ACCUM-APPREC-OR-DEPREC> 9,119
<NET-ASSETS> 278,383
<DIVIDEND-INCOME> 0
<INTEREST-INCOME> 11,304
<OTHER-INCOME> 0
<EXPENSES-NET> (1,198)
<NET-INVESTMENT-INCOME> 10,106
<REALIZED-GAINS-CURRENT> (313)
<APPREC-INCREASE-CURRENT> 14,964
<NET-CHANGE-FROM-OPS> 24,757
<EQUALIZATION> 0
<DISTRIBUTIONS-OF-INCOME> (10,437)
<DISTRIBUTIONS-OF-GAINS> 0
<DISTRIBUTIONS-OTHER> 0
<NUMBER-OF-SHARES-SOLD> 0
<NUMBER-OF-SHARES-REDEEMED> 0
<SHARES-REINVESTED> 0
<NET-CHANGE-IN-ASSETS> 14,320
<ACCUMULATED-NII-PRIOR> 0
<ACCUMULATED-GAINS-PRIOR> 0
<OVERDISTRIB-NII-PRIOR> 0
<OVERDIST-NET-GAINS-PRIOR> 0
<GROSS-ADVISORY-FEES> (1,070)
<INTEREST-EXPENSE> 0
<GROSS-EXPENSE> (1,198)
<AVERAGE-NET-ASSETS> 268,351
<PER-SHARE-NAV-BEGIN> 7.77
<PER-SHARE-NII> .30
<PER-SHARE-GAIN-APPREC> .43
<PER-SHARE-DIVIDEND> (.31)
<PER-SHARE-DISTRIBUTIONS> 0
<RETURNS-OF-CAPITAL> 0
<PER-SHARE-NAV-END> 8.19
<EXPENSE-RATIO> .009
<AVG-DEBT-OUTSTANDING> 0
<AVG-DEBT-PER-SHARE> 0
</TABLE>
Exhibit 77C
Kemper Intermediate Government Trust
Form N-SAR for the period ended 5/31/95
File No. 811-5539
Registrant's annual meeting of shareholders was held on May 16,
1995. Votes regarding the proposal to convert Registrant to an
open-end investment company are set forth below.
For 4,982,663
Against 24,386,727
MAM|W:\FUNDS\NSAR.EXH\KGT595.77C|072595