-----BEGIN PRIVACY-ENHANCED MESSAGE-----
Proc-Type: 2001,MIC-CLEAR
Originator-Name: webmaster@www.sec.gov
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 TWSM7vrzLADbmYQaionwg5sDW3P6oaM5D3tdezXMm7z1T+B+twIDAQAB
MIC-Info: RSA-MD5,RSA,
 J434YF2WPNgL/853hnxUc4ROgYzgYeKCJ5cEOI3twnvr4K3Ivv3D8tRPEyfzJlp7
 ToUJKfwf6uksX4KIEiJ1JQ==

<SEC-DOCUMENT>0000790070-05-000009.txt : 20050131
<SEC-HEADER>0000790070-05-000009.hdr.sgml : 20050131
<ACCEPTANCE-DATETIME>20050131171706
ACCESSION NUMBER:		0000790070-05-000009
CONFORMED SUBMISSION TYPE:	4
PUBLIC DOCUMENT COUNT:		1
CONFORMED PERIOD OF REPORT:	20050127
FILED AS OF DATE:		20050131
DATE AS OF CHANGE:		20050131

REPORTING-OWNER:	

	OWNER DATA:	
		COMPANY CONFORMED NAME:			TEUBER WILLIAM J JR
		CENTRAL INDEX KEY:			0001189196

	FILING VALUES:
		FORM TYPE:		4
		SEC ACT:		1934 Act
		SEC FILE NUMBER:	033-03656
		FILM NUMBER:		05562807

	BUSINESS ADDRESS:	
		BUSINESS PHONE:		5084951000X77208

	MAIL ADDRESS:	
		STREET 1:		176 SOUTH ST.
		CITY:			HOPKINTON
		STATE:			MA
		ZIP:			01748

	FORMER NAME:	
		FORMER CONFORMED NAME:	TUEBER WILLIAM J JR
		DATE OF NAME CHANGE:	20020913

ISSUER:		

	COMPANY DATA:	
		COMPANY CONFORMED NAME:			EMC CORP
		CENTRAL INDEX KEY:			0000790070
		STANDARD INDUSTRIAL CLASSIFICATION:	COMPUTER STORAGE DEVICES [3572]
		IRS NUMBER:				042680009
		STATE OF INCORPORATION:			MA
		FISCAL YEAR END:			1231

	BUSINESS ADDRESS:	
		STREET 1:		176 SOUTH STREET
		CITY:			HOPKINTON
		STATE:			MA
		ZIP:			01748-9103
		BUSINESS PHONE:		5084351000

	MAIL ADDRESS:	
		STREET 1:		176 SOUTH STREET
		CITY:			HOPKINTON
		STATE:			MA
		ZIP:			01748-9103
</SEC-HEADER>
<DOCUMENT>
<TYPE>4
<SEQUENCE>1
<FILENAME>edgar.xml
<DESCRIPTION>PRIMARY DOCUMENT
<TEXT>
<XML>
<?xml version="1.0"?>
<ownershipDocument>

    <schemaVersion>X0202</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2005-01-27</periodOfReport>

    <issuer>
        <issuerCik>0000790070</issuerCik>
        <issuerName>EMC CORP</issuerName>
        <issuerTradingSymbol>EMC</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001189196</rptOwnerCik>
            <rptOwnerName>TEUBER WILLIAM J JR</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>EMC CORPORATION</rptOwnerStreet1>
            <rptOwnerStreet2>176 SOUTH STREET</rptOwnerStreet2>
            <rptOwnerCity>HOPKINTON</rptOwnerCity>
            <rptOwnerState>MA</rptOwnerState>
            <rptOwnerZipCode>01748</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>1</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle>EVP &amp; Chief Financial Officer</officerTitle>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <transactionDate>
                <value>2005-01-27</value>
            </transactionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>F</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionAmounts>
                <transactionShares>
                    <value>16085</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>12.89</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>427145</value>
                    <footnoteId id="F1"/>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value></value>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <transactionDate>
                <value>2005-01-27</value>
            </transactionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>A</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionAmounts>
                <transactionShares>
                    <value>5819</value>
                    <footnoteId id="F2"/>
                </transactionShares>
                <transactionPricePerShare>
                    <value>0</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>432964</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value></value>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <footnotes>
        <footnote id="F1">Includes 791 shares acquired under the EMC Corporation 1989 Employee Stock Purchase Plan in December 2004.</footnote>
        <footnote id="F2">Shares of restricted stock granted under the EMC Corporation 2003 Stock Plan, which shares are subject to certain restrictions on transfer and are subject to forfeiture upon certain events.  The restrictions on transfer and forfeiture lapse ratably over three years.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>/s/ Barbara E. Coluci, Attorney In Fact</signatureName>
        <signatureDate>2005-01-31</signatureDate>
    </ownerSignature>
</ownershipDocument>

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