-----BEGIN PRIVACY-ENHANCED MESSAGE-----
Proc-Type: 2001,MIC-CLEAR
Originator-Name: webmaster@www.sec.gov
Originator-Key-Asymmetric:
 MFgwCgYEVQgBAQICAf8DSgAwRwJAW2sNKK9AVtBzYZmr6aGjlWyK3XmZv3dTINen
 TWSM7vrzLADbmYQaionwg5sDW3P6oaM5D3tdezXMm7z1T+B+twIDAQAB
MIC-Info: RSA-MD5,RSA,
 NgZLvCuI9LUfEwsac2ro6Bs5PGvofsoKU85xYAUHBnYS2Z5mg3KZkUWwhezAyppA
 CEu0ZIqztbGhxjwYrMF/Ig==

<SEC-DOCUMENT>0000909413-04-000005.txt : 20040521
<SEC-HEADER>0000909413-04-000005.hdr.sgml : 20040521
<ACCEPTANCE-DATETIME>20040521104012
ACCESSION NUMBER:		0000909413-04-000005
CONFORMED SUBMISSION TYPE:	3
PUBLIC DOCUMENT COUNT:		1
CONFORMED PERIOD OF REPORT:	20040520
FILED AS OF DATE:		20040521

REPORTING-OWNER:	

	OWNER DATA:	
		COMPANY CONFORMED NAME:			Wilson Gary M
		CENTRAL INDEX KEY:			0001291236

	FILING VALUES:
		FORM TYPE:		3
		SEC ACT:		1934 Act
		SEC FILE NUMBER:	001-13071
		FILM NUMBER:		04822954

	BUSINESS ADDRESS:	
		BUSINESS PHONE:		2814055161

	MAIL ADDRESS:	
		STREET 1:		12001 NORTH HOUSTON ROSSLYN
		CITY:			HOUSTON
		STATE:			TX
		ZIP:			77086

ISSUER:		

	COMPANY DATA:	
		COMPANY CONFORMED NAME:			HANOVER COMPRESSOR CO /
		CENTRAL INDEX KEY:			0000909413
		STANDARD INDUSTRIAL CLASSIFICATION:	SERVICES-EQUIPMENT RENTAL & LEASING, NEC [7359]
		IRS NUMBER:				752344249
		STATE OF INCORPORATION:			DE
		FISCAL YEAR END:			1231

	BUSINESS ADDRESS:	
		STREET 1:		12001 N HOUSTON ROSSLYN
		CITY:			HOUSTON
		STATE:			TX
		ZIP:			77086
		BUSINESS PHONE:		2814478787

	MAIL ADDRESS:	
		STREET 1:		12001 NORTH HOUSTON ROSSLYN
		CITY:			HOUSTON
		STATE:			TX
		ZIP:			77086

	FORMER COMPANY:	
		FORMER CONFORMED NAME:	HANOVER COMPRESSOR CO
		DATE OF NAME CHANGE:	19960716
</SEC-HEADER>
<DOCUMENT>
<TYPE>3
<SEQUENCE>1
<FILENAME>c0001291236d20040521f3f.xml
<DESCRIPTION>PRIMARY DOCUMENT
<TEXT>
<XML>
<?xml version="1.0"?>
<ownershipDocument>

    <schemaVersion>X0202</schemaVersion>

    <documentType>3</documentType>

    <periodOfReport>2004-05-20</periodOfReport>

    <noSecuritiesOwned>0</noSecuritiesOwned>

    <issuer>
        <issuerCik>0000909413</issuerCik>
        <issuerName>HANOVER COMPRESSOR CO /</issuerName>
        <issuerTradingSymbol>HC</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001291236</rptOwnerCik>
            <rptOwnerName>Wilson Gary M</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>12001 N. HOUSTON ROSSLYN RD.</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>HOUSTON</rptOwnerCity>
            <rptOwnerState>TX</rptOwnerState>
            <rptOwnerZipCode>77086</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>1</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle>Sr VP, Gen Counsel &amp; Corp Secy</officerTitle>
            <otherText></otherText>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeHolding>
            <securityTitle>
                <value>No securities beneficially owned</value>
            </securityTitle>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>0</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeHolding>
    </nonDerivativeTable>

    <derivativeTable></derivativeTable>

    <footnotes></footnotes>

    <ownerSignature>
        <signatureName>Gary M Wilson</signatureName>
        <signatureDate>2004-05-21</signatureDate>
    </ownerSignature>
</ownershipDocument>

</XML>
</TEXT>
</DOCUMENT>
</SEC-DOCUMENT>
-----END PRIVACY-ENHANCED MESSAGE-----