KEMPER INTERMEDIATE GOVERNMENT TRUST
NSAR-B, 1995-01-26
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<PAGE>      PAGE  2
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SIGNATURE   JEROME L. DUFFY                              
TITLE       TREASURER           
 


<TABLE> <S> <C>

<ARTICLE> 6
<CIK> 0000832925
<NAME> KEMPER INTERMEDIATE GOVERNMENT TRUST
<MULTIPLIER> 1000
       
<S>                             <C>
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<PERIOD-END>                               NOV-30-1994
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</TABLE>

           SUPPLEMENTARY REPORT OF INDEPENDENT AUDITORS


Board of Trustees
Kemper Funds


In  planning and performing our audit of the financial statements  of
each  of  the  Kemper Funds listed in Exhibit A attached hereto  (the
"Funds")  for  the year ended November 30, 1994, we considered  their
internal  control  structure, including procedures  for  safeguarding
securities,  in  order to determine our auditing procedures  for  the
purpose  of expressing our opinion on their financial statements  and
to  comply  with  the  requirements of Form  N-SAR,  not  to  provide
assurance on the internal control structure.

The  management  of  the Funds is responsible  for  establishing  and
maintaining  an  internal  control  structure.   In  fulfilling  this
responsibility, estimates and judgements by management  are  required
to assess the expected benefits and related costs of internal control
structure  policies  and procedures.  Two of  the  objectives  of  an
internal control structure are to provide management with reasonable,
but  not absolute, assurance that assets are safeguarded against loss
from  unauthorized  use  or  disposition and  that  transactions  are
executed  in accordance with management's authorization and  recorded
properly  to permit preparation of financial statements in conformity
with generally accepted accounting principles.

Because  of  inherent limitations in any internal control  structure,
errors  or  irregularities  may occur and  not  be  detected.   Also,
projection  of any evaluation of the structure 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  the  internal  control  structure  would  not
necessarily  disclose all matters in the internal  control  structure
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 the
specific  internal control structure elements does not  reduce  to  a
relatively  low  level  the  risk that errors  or  irregularities  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  the
internal  control  structure, including procedures  for  safeguarding
securities,  that  we consider to be material weaknesses  as  defined
above as of November 30, 1994.

This  report  is  intended  solely for the  information  and  use  of
management and the Securities and Exchange Commission.


                                        ERNST & YOUNG LLP


Chicago, Illinois
January 4, 1995





Kemper Funds                                      Exhibit A

November  30, 1994




Kemper High Income Trust
Kemper Intermediate Government Trust
Kemper Municipal Income Trust
Kemper Mult-Market Income Trust
Kemper Strategic Municipal Income Trust
Growth Fund of Spain
Kemper Strategic Income Fund




KEMPER FINANCIAL SERVICES, INC.  
120 S. LaSalle Street, Chicago, IL  60603    312/781-1121







                                   January 26, 1995




Securities and Exchange Commission
Judiciary Plaza
450 Fifth Street, N.W.
Washington, D.C.  20549

Attn:  Filing Desk, Stop 1-4

     Re:  KEMPER INTERMEDIATE GOVERNMENT TRUST
          (FILE NOS. 33-21909 AND 811-5539)

Dear Sir or Madam:

Enclosed pursuant to Rule 30b-1 under the Investment Company Act of
1940 is the Form N-SAR for the above-referenced Registrant for the
twelve-month period ended November 30, 1994.  A wire in the amount
of $125 for the filing fee has been sent to the Mellon Bank.

                                   Very truly yours,

                              
                                   /s/ Maureen A. Miller

                                   Maureen A. Miller
                                   Associate Counsel


MAM/lkw
Enclosures





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