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Proc-Type: 2001,MIC-CLEAR
Originator-Name: webmaster@www.sec.gov
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MIC-Info: RSA-MD5,RSA,
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<SEC-DOCUMENT>0001303828-04-000003.txt : 20041220
<SEC-HEADER>0001303828-04-000003.hdr.sgml : 20041220
<ACCEPTANCE-DATETIME>20041220164825
ACCESSION NUMBER:		0001303828-04-000003
CONFORMED SUBMISSION TYPE:	3
PUBLIC DOCUMENT COUNT:		2
CONFORMED PERIOD OF REPORT:	20041215
FILED AS OF DATE:		20041220
DATE AS OF CHANGE:		20041220

ISSUER:		

	COMPANY DATA:	
		COMPANY CONFORMED NAME:			COLONIAL INTERMEDIATE HIGH INCOME FUND
		CENTRAL INDEX KEY:			0000833021
		IRS NUMBER:				000000000
		FISCAL YEAR END:			1031

	BUSINESS ADDRESS:	
		STREET 1:		ONE FINANCIAL CNTR
		CITY:			BOSTON
		STATE:			MA
		ZIP:			02111
		BUSINESS PHONE:		6174263750

REPORTING-OWNER:	

	OWNER DATA:	
		COMPANY CONFORMED NAME:			Henderson Robert Scott
		CENTRAL INDEX KEY:			0001303828

	FILING VALUES:
		FORM TYPE:		3
		SEC ACT:		1934 Act
		SEC FILE NUMBER:	811-05567
		FILM NUMBER:		041214598

	BUSINESS ADDRESS:	
		BUSINESS PHONE:		617-772-3331

	MAIL ADDRESS:	
		STREET 1:		ONE FINANCIAL CENTER
		CITY:			BOSTON
		STATE:			MA
		ZIP:			02111
</SEC-HEADER>
<DOCUMENT>
<TYPE>3
<SEQUENCE>1
<FILENAME>primary_doc.xml
<DESCRIPTION>PRIMARY DOCUMENT
<TEXT>
<XML>
<?xml version="1.0"?>
<ownershipDocument>

    <schemaVersion>X0202</schemaVersion>

    <documentType>3</documentType>

    <periodOfReport>2004-12-15</periodOfReport>

    <noSecuritiesOwned>1</noSecuritiesOwned>

    <issuer>
        <issuerCik>0000833021</issuerCik>
        <issuerName>COLONIAL INTERMEDIATE HIGH INCOME FUND</issuerName>
        <issuerTradingSymbol>CIF</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001303828</rptOwnerCik>
            <rptOwnerName>Henderson Robert Scott</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>ONE FINANCIAL CENTER</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>BOSTON</rptOwnerCity>
            <rptOwnerState>MA</rptOwnerState>
            <rptOwnerZipCode>02111</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>1</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle>Secretary</officerTitle>
        </reportingOwnerRelationship>
    </reportingOwner>

    <ownerSignature>
        <signatureName>Tracy S. DiRienzo, limited power of attorney</signatureName>
        <signatureDate>2004-12-20</signatureDate>
    </ownerSignature>
</ownershipDocument>

</XML>
</TEXT>
</DOCUMENT>
<DOCUMENT>
<TYPE>EX-24
<SEQUENCE>2
<FILENAME>scotthendersonpoa.txt
<TEXT>
                           LIMITED POWER OF ATTORNEY
                         For Executing Forms 3, 4 and 5

         KNOW ALL BY THESE PRESENTS that the undersigned hereby constitutes and
appoints each of Heidi Hoefler, Ellen Harrington, Laurie Russell, and Tracy
DiRienzo, signing singly, her true and lawful attorney-in-fact to:

(1)      execute for and on behalf of the undersigned Forms 3, 4 and 5, and
         amendments thereto, in accordance with Section 16 of the Securities
         Exchange Act of 1934, as amended, and the rules thereunder;

(2)      do and perform any and all acts for and on behalf of the undersigned
         which may be necessary or desirable to complete and execute any such
         Form 3, 4 or 5, or amendment thereto, and the filing of such form with
         the United States Securities and Exchange Commission and any stock
         exchange or similar authority; and

(3)      take any other action of any type whatsoever in connection with the
         foregoing which, in the opinion of such attorney-in-fact, may be of
         benefit to, in the best interest of, or legally required by, the
         undersigned.

         The undersigned hereby grants to each such attorney-in-fact full power
and authority to do and perform any and every act and thing whatsoever
requisite, necessary, or proper to be done in the exercise of any of the rights
and powers herein granted, as fully to all intents and purposes as the
undersigned might or could do if personally present, with full power of
substitution or revocation, hereby ratifying and confirming all that such
attorney-in-fact, or her substitute or substitutes, shall lawfully do or cause
to be done by virtue of this power of attorney and the rights and powers herein
granted. The undersigned acknowledges that the foregoing attorneys-in-fact, in
serving in such capacity at the request of the undersigned, are not assuming any
of the undersigned's responsibilities to comply with Section 16 of the
Securities Exchange Act of 1934, as amended.

         The undersigned acknowledges that this power-of-attorney applies to the
filing of Forms 3, 4, or 5 with respect to the undersigned's holdings of and
transactions in the following funds:

<TABLE>
<CAPTION>
   <S>                                                                 <C>
   ------------------------------------------------------------------- -----------------------------------------------------
   Colonial Intermediate High Income Fund                              Colonial Investment Grade Municipal Trust
   ------------------------------------------------------------------- -----------------------------------------------------
   ------------------------------------------------------------------- -----------------------------------------------------
   Colonial InterMarket Income Trust I                                 Colonial Insured Municipal Fund
   ------------------------------------------------------------------- -----------------------------------------------------
   ------------------------------------------------------------------- -----------------------------------------------------
   Colonial Municipal Income Trust                                     Colonial California Insured Municipal Fund
   ------------------------------------------------------------------- -----------------------------------------------------
   ------------------------------------------------------------------- -----------------------------------------------------
   Colonial High Income Municipal Trust                                Colonial New York Insured Municipal Fund
   ------------------------------------------------------------------- -----------------------------------------------------
</TABLE>

         This power-of-attorney shall remain in full force and effect until the
undersigned is no longer required to file Forms 3, 4, or 5 with respect to the
undersigned's holdings of and transactions in securities issued by the Funds,
unless earlier revoked by the undersigned in a signed writing delivered to the
foregoing attorneys-in-fact.

         IN WITNESS WHEREOF, the undersigned has caused this Power of Attorney
to be executed as of this 17th day of September, 2004.


/S/R. SCOTT HENDERSON                          R. Scott Henderson
- ------------------------                    ------------------------
   R. Scott Henderson                                Print Name
      Signature


STATE OF MASSACHUSETTS
                SS:
COMMONWEALTH OF MASSACHUSETTS

         Sworn to before me and subscribed in my presence the 17th day of
September, 2004.


                                                  /S/GAIL M. BELLO
[SEAL]                                            ---------------------------
                                                     Gail M. Bello
                                                     Notary Public
                                                     My commission expires:
                                                                 April 11, 2011




</TEXT>
</DOCUMENT>
</SEC-DOCUMENT>
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