VAN KAMPEN AMERICAN CAPITAL INTERMEDIATE TERM HIGH INCOME TR
NSAR-B, 1996-02-29
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SIGNATURE   DENNIS J MCDONNELL
TITLE       PRES, CEO & TRUSTEE


The Board of Trustees and Shareholders of 
  Van Kampen American Capital Intermediate Term High Income Trust:

In Planning and performing our audit of the financial statements of the 
Van Kampen American Capital Intermediate Term High Income Trust (the "Trust")
for the year ended December 31,1995, we considered its
internal control structure, including procedures for safeguarding securities, 
in order to determine our auditing procedures for the purpose of expressing 
our opinion on the 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 Fund is responsible for establishing and maintaining an
internal control structure. In fulfilling this responsibility, estimates and
judgments 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 the 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 may 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 December 31, 1995.

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

                                        KPMG Peat Marwick LLP

February 13, 1996
WARNING: THE EDGAR SYSTEM ENCOUNTERED ERROR(S) WHILE PROCESSING THIS SCHEDULE.

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