KEMPER HIGH INCOME TRUST
NSAR-A, 1996-07-29
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<PAGE>      PAGE  1
000 A000000 05/31/96
000 C000000 0000830160
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 HIGH INCOME TRUST
001 B000000 811-5482
001 C000000 3127811121
002 A000000 120 SOUTH LASALLE STREET
002 B000000 CHICAGO
002 C000000 IL
002 D010000 60603
003  000000 N
004  000000 N
005  000000 N
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007 A000000 N
007 B000000  0
007 C010100  1
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007 C011000 10
008 A000001 ZURICH KEMPER INVESTMENTS, 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 DISTRIBUTORS, INC.
014 B000001 8-47765
014 A000002 GRUNTAL SECURITIES, INC.
014 B000002 8-31022
<PAGE>      PAGE  2
014 A000003 THE GMS GROUP, INC.
014 B000003 8-23936
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
015 E010002 X
015 A000003 THE CHASE MANHATTAN BANK, N.A.
015 B000003 C
015 C010003 BROOKLYN
015 C020003 NY
015 C030003 11245
015 E040003 X
018  000000 Y
019 A000000 N
019 B000000    0
020 A000001 STANDARD & POOR'S SECURITIES, INC.
020 B000001 13-2671951
020 C000001      1
020 A000002 PAINEWEBBER INCORPORATED
020 B000002 13-2638166
020 C000002      1
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022 A000001 GOLDMAN, SACHS & COMPANY
022 B000001 13-5108880
022 C000001     79256
022 D000001     23375
022 A000002 MERRILL LYNCH, PIERCE, FENNER & SMITH INC.
022 B000002 13-5674085
022 C000002     20561
022 D000002     11918
022 A000003 LEHMAN BROTHERS INCORPORATED
022 B000003 13-2518466
022 C000003     15872
022 D000003     10093
022 A000004 DONALDSON, LUFKIN & JENRETTE SECURITIES CORP.
<PAGE>      PAGE  3
022 B000004 13-2741729
022 C000004      9987
022 D000004      8964
022 A000005 CS FIRST BOSTON CORP.
022 B000005 13-5659485
022 C000005      7355
022 D000005     10397
022 A000006 BEAR, STEARNS, & CO. INCORPORATED
022 B000006 13-3299429
022 C000006      5771
022 D000006      5651
022 A000007 BT BROKERAGE CORP.
022 B000007 22-2608045
022 C000007      8025
022 D000007      3070
022 A000008 SALOMON BROTHERS INC.
022 B000008 13-3082694
022 C000008      7585
022 D000008      2584
022 A000009 SMITH BARNEY INC.
022 B000009 13-1912900
022 C000009      7386
022 D000009      2553
022 A000010 MORGAN STANLEY & CO. INCORPORATED
022 B000010 13-2655998
022 C000010      6905
022 D000010      1347
023 C000000     189224
023 D000000      96753
024  000000 N
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<PAGE>      PAGE  4
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<PAGE>      PAGE  5
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<PAGE>      PAGE  7
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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 1996
SEMI-ANNUAL REPORT TO SHAREHOLDERS AND IS QUALIFIED IN ITS ENTIRETY BY REFERENCE
TO SUCH FINANCIAL STATEMENTS.
</LEGEND>
<CIK> 0000830160
<NAME> KEMPER HIGH INCOME TRUST
<MULTIPLIER> 1000
       
<S>                             <C>
<PERIOD-TYPE>                   6-MOS
<FISCAL-YEAR-END>                          NOV-30-1996
<PERIOD-START>                             DEC-01-1995
<PERIOD-END>                               MAY-31-1996
<INVESTMENTS-AT-COST>                          222,858
<INVESTMENTS-AT-VALUE>                         222,089
<RECEIVABLES>                                    8,265
<ASSETS-OTHER>                                       0
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                                 230,354
<PAYABLE-FOR-SECURITIES>                         2,588
<SENIOR-LONG-TERM-DEBT>                         20,000
<OTHER-ITEMS-LIABILITIES>                        1,494
<TOTAL-LIABILITIES>                             24,082
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                       245,561
<SHARES-COMMON-STOCK>                           23,146
<SHARES-COMMON-PRIOR>                           22,958
<ACCUMULATED-NII-CURRENT>                        2,794
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                       (41,314)
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                         (769)
<NET-ASSETS>                                   206,272
<DIVIDEND-INCOME>                                   38
<INTEREST-INCOME>                               12,211
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                 (1,623)
<NET-INVESTMENT-INCOME>                         10,626
<REALIZED-GAINS-CURRENT>                         1,217
<APPREC-INCREASE-CURRENT>                        2,608
<NET-CHANGE-FROM-OPS>                           14,451
<EQUALIZATION>                                       0
<DISTRIBUTIONS-OF-INCOME>                     (10,411)
<DISTRIBUTIONS-OF-GAINS>                             0
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                              0
<NUMBER-OF-SHARES-REDEEMED>                          0
<SHARES-REINVESTED>                                188
<NET-CHANGE-IN-ASSETS>                           5,770
<ACCUMULATED-NII-PRIOR>                          2,579
<ACCUMULATED-GAINS-PRIOR>                     (42,531)
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                              870
<INTEREST-EXPENSE>                                 599
<GROSS-EXPENSE>                                  1,623
<AVERAGE-NET-ASSETS>                           204,652
<PER-SHARE-NAV-BEGIN>                             8.73
<PER-SHARE-NII>                                    .46
<PER-SHARE-GAIN-APPREC>                            .17
<PER-SHARE-DIVIDEND>                             (.45)
<PER-SHARE-DISTRIBUTIONS>                            0
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                               8.91
<EXPENSE-RATIO>                                   1.58
<AVG-DEBT-OUTSTANDING>                               0
<AVG-DEBT-PER-SHARE>                                 0
        

</TABLE>







          Exhibit 77C
          Kemper High Income Trust
          Form N-SAR for the period ended 05/31/96
          File No. 811-5482


          A special meeting of Registrant's shareholders was held on May
          29, 1996.  Votes regarding the items submitted to shareholder
          vote are set forth below.

          Item 1:  Election of Members to the Board

                   James E. Akins
                                                   
                       Vote             Number     
                       ----             -----------
                       FOR               18,744,529
                       WITHHELD             363,044

                   Arthur R. Gottschalk

                       Vote             Number     
                       ----             -----------
                       FOR               18,815,227
                       WITHHELD             292,346

                   Frederick T. Kelsey
                                                   
                       Vote             Number     
                       ----             -----------
                       FOR               18,782,744
                       WITHHELD             324,829

                   Dominique P. Morax  

                       Vote             Number     
                       ----             -----------
                       FOR               18,769,369
                       WITHHELD             338,204
                 
                   Fred B. Renwick
                                                   
                       Vote             Number     
                       ----             -----------
                       FOR               18,767,458
                       WITHHELD             340,115

                   Stephen B. Timbers
                                                   
                       Vote             Number     
                       ----             -----------
                       FOR               18,830,513
                       WITHHELD             277,060













                   John B. Tingleff  

                       Vote             Number     
                       ----             -----------
                       FOR               18,851,532
                       WITHHELD             256,041
                 
                   John G. Weithers
                                                   
                       Vote             Number     
                       ----             -----------
                       FOR               18,832,424
                       WITHHELD             275,149
                    

          Item 2:  Selection of Independent Auditors

                       Vote             Number     
                       ----             -----------
                       FOR               18,809,903
                       AGAINST              114,744
                       ABSTAIN              182,899           




          LKW|W:\FUNDS\NSAR.EXH\KHI\KHI-596.77C|061396








          Exhibit 77Q1(e)
          Kemper High Income Trust
          Form N-SAR for the period ended 05/31/96 
          File No. 811-5482

                           INVESTMENT MANAGEMENT AGREEMENT



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

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

          WHEREAS,  the  Fund  desires  to  retain the  Adviser  to  render
          investment advisory and  management services, and the  Adviser is
          willing to render such services;

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

          1.   The Fund hereby employs the Adviser to act as the investment
          adviser  and  to manage  the investment  and reinvestment  of the
          assets  in accordance with  the Fund's investment  objectives and
          policies  and limitations, and  to administer its  affairs to the
          extent requested by  and subject to the supervision  of the Board
          of Trustees of  the Fund for the period and upon the terms herein
          set  forth and  to  place  orders for  the  purchase or  sale  of
          portfolio  securities  for  the Fund's  account  with  brokers or
          dealers selected  by it; and in connection therewith, the Adviser
          is  authorized as the  agent of the Fund  to give instructions to
          the custodian of the Fund as to the deliveries of  securities and
          payments of cash for the account of the Fund.  In connection with
          the selection of  such brokers or dealers and the placing of such
          orders,  the  Adviser is  directed  to  seek  for the  Fund  best
          execution of orders.   Subject to such  policies as the Board  of
          Trustees of the Fund determines,  the Adviser shall not be deemed
          to have acted unlawfully or to have breached any duty, created by
          this  Agreement or  otherwise,  solely by  reason  of its  having
          caused the Fund to pay a broker or dealer an amount of commission
          for effecting a securities transaction in excess of the amount of
          commission  another broker  or  dealer  would  have  charged  for
          effecting that  transaction, if  the Adviser  determined in  good
          faith  that such amount of  commission was reasonable in relation
          to the value  of the brokerage and research  services provided by
          such broker or  dealer viewed in terms of  either that particular
          transaction  or  the  Adviser's   overall  responsibilities  with
          respect to  the clients of  the Adviser as  to which  the Adviser












          exercises  investment discretion.   The Fund recognizes  that all
          research  services  and  research that  the  Adviser  receives or
          generates are  available for all  clients, and that the  Fund and
          other clients may benefit thereby.  The investment of funds shall
          be subject to  all applicable restrictions  of the Agreement  and
          Declaration of Trust  and By-Laws of the Fund as may from time to
          time be in force.

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

          2.   For  the services and facilities described in Section 1, the
          Fund will  pay to the Adviser at the  end of each calendar month,
          an investment management  fee computed at an annual  rate of 0.85
          of  1% of the average weekly net  assets.  For the month and year
          in  which this Agreement  becomes effective or  terminates, there
          shall be an appropriate proration on  the basis of the number  of
          days that the  Agreement is in effect during the  month and year,
          respectively.

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

          4.   In addition to the fee of the Adviser, the Fund shall assume
          and pay any expenses for services rendered by a custodian for the
          safekeeping  of  the  Fund's securities  or  other  property, for
          keeping  its books  of  account,  for any  other  charges of  the
          custodian, and for calculating the net asset value of the Fund as
          provided in the prospectus of the Fund.  The Adviser shall not be
          required to pay and the Fund shall assume and pay the charges and
          expenses  of  its  operations,   including  compensation  of  the
          trustees  (other than those affiliated with the Adviser), charges
          and expenses of  independent auditors, of  legal counsel, of  any
          transfer or dividend disbursing agent, any registrar of the Fund,
          costs  of  acquiring  and  disposing   of  portfolio  securities,
          interest, if any,  on obligations incurred by the  Fund, costs of
          share  certificates  and  of  reports,  membership  dues  in  the
          Investment Company Institute or any similar organization, reports

                                          2












          and notices  to shareholders,  other like miscellaneous  expenses
          and  all  taxes and  fees  payable  to  federal, state  or  other
          governmental  agencies   on  account   of  the   registration  of
          securities issued  by  the Fund,  filing  of trust  documents  or
          otherwise.  The  Fund shall not  pay or incur any  obligation for
          any expenses  for which  the Fund  intends to  seek reimbursement
          from the Adviser as herein  provided without first obtaining  the
          written approval of  the Adviser.  The Adviser  shall arrange, if
          desired by the Fund, for officers or  employees of the Adviser to
          serve,  without compensation from the Fund, as trustees, officers
          or agents  of  the Fund  if  duly elected  or  appointed to  such
          positions  and subject  to  their individual  consent and  to any
          limitations imposed by law.

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

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

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

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

          This Agreement shall automatically terminate  in the event of its
          assignment and may be terminated  at any time without the payment

                                          3












          of  any penalty by the Fund or  by the Adviser on sixty (60) days
          written  notice  to  the  other  party.    The  Fund  may  effect
          termination by action  of the Board of  Trustees or by vote  of a
          majority of the outstanding voting securities.

          This Agreement may be terminated  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 in the event  that it shall
          have been established by  a court of competent jurisdiction  that
          the  Adviser or any officer or  director of the Adviser has taken
          any action  which results  in a breach  of the  covenants of  the
          Adviser set forth herein.

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

          Termination of this  Agreement shall not affect the  right of the
          Adviser  to  receive  payments  on  any  unpaid  balance  of  the
          compensation  described  in   Section 2  earned  prior  to   such
          termination.

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

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

          10.  All parties hereto are expressly put on notice of the Fund's
          Agreement  and Declaration of  Trust and all  amendments thereto,
          all  of which are on file with  the Secretary of The Commonwealth
          of Massachusetts, and  the limitation of shareholder  and trustee
          liability contained therein.  This Agreement has been executed by
          and  on  behalf  of  the  Fund by  its  representatives  as  such
          representatives  and not individually, and the obligations of the
          Fund hereunder are not binding upon any of the trustees, officers
          or shareholders  of the  Fund individually  but are binding  upon
          only the assets and property of the Fund.

          11.    This  Agreement  shall  be  construed  in  accordance with
          applicable federal law and  except as to Section 10 hereof  which
          shall  be   construed  in  accordance   with  the  laws   of  The
          Commonwealth of Massachusetts) the laws of the State of Illinois.






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

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


                                        KEMPER HIGH INCOME TRUST


                                        By:  /s/ John E. Peters
                                           ---------------------------
                                        Title:  Vice President

          ATTEST:

          By:  /s/ Philip J. Collora 
             ---------------------------
          Title:  Secretary


                                        KEMPER FINANCIAL SERVICES, INC.


                                        By:  /s/ Patrick Dudasik
                                           ---------------------------- 
                                        Title:  Senior Vice President


          ATTEST:

          By:  /s/ David F. Dierenfeldt
             ---------------------------- 
          Title:  Assistant Secretary







          MRB|W:\FUNDS\NSAR.EXH\KHI-596.77Q|041196








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