<?xml version="1.0"?>
<ownershipDocument>
    <schemaVersion>X0201</schemaVersion>

    <documentType>4</documentType>
	<periodOfReport>2003-12-15</periodOfReport>
	<notSubjectToSection16>0</notSubjectToSection16>
    <issuer>
        <issuerCik>0000040730</issuerCik>
        <issuerName>GENERAL MOTORS CORP</issuerName>
        <issuerTradingSymbol>GM &amp; GMH</issuerTradingSymbol>
	</issuer>
	<reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001181688</rptOwnerCik>
            <rptOwnerName>DEVINE JOHN M</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>300 RENAISSANCE CENTER   MC: 482-C39-B30</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>DETROIT</rptOwnerCity>
            <rptOwnerState>MI</rptOwnerState>
            <rptOwnerZipCode>482653000</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
            <reportingOwnerRelationship>
			<isDirector>0</isDirector>
			<isOfficer>1</isOfficer>
			<isTenPercentOwner>0</isTenPercentOwner>
			<isOther>0</isOther>
			<officerTitle>Vice Chairman &amp; CFO</officerTitle>
		</reportingOwnerRelationship>
	</reportingOwner>
	<nonDerivativeTable>
		<nonDerivativeTransaction>
			<securityTitle>
				<value>General Motors Common Stock, $1-2/3 Par Value</value>
			</securityTitle>
			<transactionDate>
				<value>2003-12-15</value>
			</transactionDate>
			<deemedExecutionDate>
			</deemedExecutionDate>
			<transactionCoding>
				<transactionFormType>4</transactionFormType>
				<transactionCode>F</transactionCode>
				<equitySwapInvolved>0</equitySwapInvolved>
			</transactionCoding>
			<transactionAmounts>
				<transactionShares>
					<value>7702</value>
				</transactionShares>
				<transactionPricePerShare>
					<value>49.24</value>
				</transactionPricePerShare>
				<transactionAcquiredDisposedCode>
					<value>D</value>
				</transactionAcquiredDisposedCode>
			</transactionAmounts>
			<postTransactionAmounts>
				<sharesOwnedFollowingTransaction>
					<value>158882</value>
				</sharesOwnedFollowingTransaction>
			</postTransactionAmounts>
			<ownershipNature>
				<directOrIndirectOwnership>
					<value>D</value>
					<footnoteId id="F1"/>
				</directOrIndirectOwnership>
				<natureOfOwnership>
					<value/>
				</natureOfOwnership>
			</ownershipNature>
		</nonDerivativeTransaction>
		<nonDerivativeHolding>
			<securityTitle>
				<value>General Motors Common Stock, $1-2/3 Par Value</value>
			</securityTitle>
			<postTransactionAmounts>
				<sharesOwnedFollowingTransaction>
					<value>69</value>
				</sharesOwnedFollowingTransaction>
			</postTransactionAmounts>
			<ownershipNature>
				<directOrIndirectOwnership>
					<value>I</value>
				</directOrIndirectOwnership>
				<natureOfOwnership>
					<value>Trust</value>
					<footnoteId id="F2"/>
				</natureOfOwnership>
			</ownershipNature>
		</nonDerivativeHolding>
		<nonDerivativeHolding>
			<securityTitle>
				<value>GM Class H Common Stock, $.10 Par Value</value>
			</securityTitle>
			<postTransactionAmounts>
				<sharesOwnedFollowingTransaction>
					<value>3503</value>
				</sharesOwnedFollowingTransaction>
			</postTransactionAmounts>
			<ownershipNature>
				<directOrIndirectOwnership>
					<value>D</value>
				</directOrIndirectOwnership>
				<natureOfOwnership>
					<value/>
				</natureOfOwnership>
			</ownershipNature>
		</nonDerivativeHolding>
	</nonDerivativeTable>
	<derivativeTable>
		<derivativeHolding>
			<securityTitle>
				<value>GM Stock $1-2/3 Par Value Option (Right To Buy)</value>
				<footnoteId id="F3"/>
			</securityTitle>
			<conversionOrExercisePrice>
				<value>52.54</value>
			</conversionOrExercisePrice>
			<exerciseDate>
				<value>2001-12-13</value>
				<footnoteId id="F3"/>
			</exerciseDate>
			<expirationDate>
				<value>2010-12-14</value>
			</expirationDate>
			<underlyingSecurity>
				<underlyingSecurityTitle>
					<value>General Motors Common Stock, $1-2/3 Par Value</value>
				</underlyingSecurityTitle>
				<underlyingSecurityShares>
					<value>500000</value>
				</underlyingSecurityShares>
			</underlyingSecurity>
			<postTransactionAmounts>
				<sharesOwnedFollowingTransaction>
					<value>500000</value>
				</sharesOwnedFollowingTransaction>
			</postTransactionAmounts>
			<ownershipNature>
				<directOrIndirectOwnership>
					<value>D</value>
				</directOrIndirectOwnership>
				<natureOfOwnership>
					<value/>
				</natureOfOwnership>
			</ownershipNature>
		</derivativeHolding>
		<derivativeHolding>
			<securityTitle>
				<value>GM Stock $1-2/3 Par Value Option (Right to Buy)</value>
				<footnoteId id="F4"/>
			</securityTitle>
			<conversionOrExercisePrice>
				<value>52.35</value>
			</conversionOrExercisePrice>
			<exerciseDate>
				<value>2002-01-08</value>
				<footnoteId id="F4"/>
			</exerciseDate>
			<expirationDate>
				<value>2011-01-09</value>
			</expirationDate>
			<underlyingSecurity>
				<underlyingSecurityTitle>
					<value>General Motors Common Stock, $1-2/3 Par Value</value>
				</underlyingSecurityTitle>
				<underlyingSecurityShares>
					<value>200000</value>
				</underlyingSecurityShares>
			</underlyingSecurity>
			<postTransactionAmounts>
				<sharesOwnedFollowingTransaction>
					<value>200000</value>
				</sharesOwnedFollowingTransaction>
			</postTransactionAmounts>
			<ownershipNature>
				<directOrIndirectOwnership>
					<value>D</value>
				</directOrIndirectOwnership>
				<natureOfOwnership>
					<value/>
				</natureOfOwnership>
			</ownershipNature>
		</derivativeHolding>
		<derivativeHolding>
			<securityTitle>
				<value>GM Stock $1-2/3 Par Value Option (Right to Buy)</value>
				<footnoteId id="F4"/>
			</securityTitle>
			<conversionOrExercisePrice>
				<value>50.46</value>
			</conversionOrExercisePrice>
			<exerciseDate>
				<value>2003-01-07</value>
				<footnoteId id="F4"/>
			</exerciseDate>
			<expirationDate>
				<value>2012-01-08</value>
			</expirationDate>
			<underlyingSecurity>
				<underlyingSecurityTitle>
					<value>General Motors Common Stock, $1-2/3 Par Value</value>
				</underlyingSecurityTitle>
				<underlyingSecurityShares>
					<value>200000</value>
				</underlyingSecurityShares>
			</underlyingSecurity>
			<postTransactionAmounts>
				<sharesOwnedFollowingTransaction>
					<value>200000</value>
				</sharesOwnedFollowingTransaction>
			</postTransactionAmounts>
			<ownershipNature>
				<directOrIndirectOwnership>
					<value>D</value>
				</directOrIndirectOwnership>
				<natureOfOwnership>
					<value/>
				</natureOfOwnership>
			</ownershipNature>
		</derivativeHolding>
		<derivativeHolding>
			<securityTitle>
				<value>GM Stock $1-2/3 Par Value Option (Right to Buy)</value>
				<footnoteId id="F4"/>
			</securityTitle>
			<conversionOrExercisePrice>
				<value>50.82</value>
			</conversionOrExercisePrice>
			<exerciseDate>
				<value>2003-02-04</value>
				<footnoteId id="F4"/>
			</exerciseDate>
			<expirationDate>
				<value>2012-02-05</value>
			</expirationDate>
			<underlyingSecurity>
				<underlyingSecurityTitle>
					<value>General Motors Common Stock, $1-2/3 Par Value</value>
				</underlyingSecurityTitle>
				<underlyingSecurityShares>
					<value>100000</value>
				</underlyingSecurityShares>
			</underlyingSecurity>
			<postTransactionAmounts>
				<sharesOwnedFollowingTransaction>
					<value>100000</value>
				</sharesOwnedFollowingTransaction>
			</postTransactionAmounts>
			<ownershipNature>
				<directOrIndirectOwnership>
					<value>D</value>
				</directOrIndirectOwnership>
				<natureOfOwnership>
					<value/>
				</natureOfOwnership>
			</ownershipNature>
		</derivativeHolding>
		<derivativeHolding>
			<securityTitle>
				<value>GM Stock $1-2/3 Par Value Option (Right To Buy)</value>
				<footnoteId id="F4"/>
			</securityTitle>
			<conversionOrExercisePrice>
				<value>40.05</value>
			</conversionOrExercisePrice>
			<exerciseDate>
				<value>2004-01-21</value>
				<footnoteId id="F4"/>
			</exerciseDate>
			<expirationDate>
				<value>2013-01-22</value>
			</expirationDate>
			<underlyingSecurity>
				<underlyingSecurityTitle>
					<value>General Motors Common Stock, $1-2/3 Par Value</value>
				</underlyingSecurityTitle>
				<underlyingSecurityShares>
					<value>200000</value>
				</underlyingSecurityShares>
			</underlyingSecurity>
			<postTransactionAmounts>
				<sharesOwnedFollowingTransaction>
					<value>200000</value>
				</sharesOwnedFollowingTransaction>
			</postTransactionAmounts>
			<ownershipNature>
				<directOrIndirectOwnership>
					<value>D</value>
				</directOrIndirectOwnership>
				<natureOfOwnership>
					<value/>
				</natureOfOwnership>
			</ownershipNature>
		</derivativeHolding>
		<derivativeHolding>
			<securityTitle>
				<value>GM Stock $1-2/3 Par Value, Deferred Stock Units</value>
				<footnoteId id="F5"/>
			</securityTitle>
			<conversionOrExercisePrice>
				<value>0.00</value>
				<footnoteId id="F5"/>
			</conversionOrExercisePrice>
			<exerciseDate>
				<value>1988-08-08</value>
				<footnoteId id="F5"/>
			</exerciseDate>
			<expirationDate>
				<value>1988-08-08</value>
				<footnoteId id="F5"/>
			</expirationDate>
			<underlyingSecurity>
				<underlyingSecurityTitle>
					<value>General Motors Common Stock, $1-2/3 Par Value</value>
				</underlyingSecurityTitle>
				<underlyingSecurityShares>
					<value>49589</value>
				</underlyingSecurityShares>
			</underlyingSecurity>
			<postTransactionAmounts>
				<sharesOwnedFollowingTransaction>
					<value>49589</value>
				</sharesOwnedFollowingTransaction>
			</postTransactionAmounts>
			<ownershipNature>
				<directOrIndirectOwnership>
					<value>D</value>
				</directOrIndirectOwnership>
				<natureOfOwnership>
					<value/>
				</natureOfOwnership>
			</ownershipNature>
		</derivativeHolding>
		<derivativeHolding>
			<securityTitle>
				<value>GM Stock $1-2/3 Par Value, Restricted Stock Units</value>
				<footnoteId id="F6"/>
			</securityTitle>
			<conversionOrExercisePrice>
				<value>0.00</value>
				<footnoteId id="F6"/>
			</conversionOrExercisePrice>
			<exerciseDate>
				<value>1988-08-08</value>
				<footnoteId id="F6"/>
			</exerciseDate>
			<expirationDate>
				<value>1988-08-08</value>
				<footnoteId id="F6"/>
			</expirationDate>
			<underlyingSecurity>
				<underlyingSecurityTitle>
					<value>General Motors Common Stock, $1-2/3 Par Value</value>
				</underlyingSecurityTitle>
				<underlyingSecurityShares>
					<value>75000</value>
				</underlyingSecurityShares>
			</underlyingSecurity>
			<postTransactionAmounts>
				<sharesOwnedFollowingTransaction>
					<value>75000</value>
				</sharesOwnedFollowingTransaction>
			</postTransactionAmounts>
			<ownershipNature>
				<directOrIndirectOwnership>
					<value>D</value>
				</directOrIndirectOwnership>
				<natureOfOwnership>
					<value/>
				</natureOfOwnership>
			</ownershipNature>
		</derivativeHolding>
	</derivativeTable>
	<footnotes>
		<footnote id="F1">Restricted Stock Unit grant, 19,040 shares to be delivered on each of 12/13/04 and 12/13/05.  Also, 95,200 shares are to  be delivered 18 months after my retirement.  Shares are subject to forfeiture.  Dividend equivalents are earned on each share until delivered.</footnote>
		<footnote id="F2">Shares held in trust under General Motors Stock Purchase Program as of 12/31/02.  State Street Bank &amp; Trust Co., Trustee.  Shares owned pursuant to Rule 16b-3 exempt employee savings plan.</footnote>
		<footnote id="F3">Employee stock options granted pursuant to Rule 16b-3 qualified General Motors Stock Incentive Plan; stock options are exercisable in five equal annual installments, commencing, respectively, one, two, three, four and five years from the date of initial grant.</footnote>
		<footnote id="F4">Employee stock option granted pursuant to Rule 16b-3 qualified General Motors Stock Incentive Plan.  Stock option is exercisable in three equal annual installments, commencing, respectively, one, two and three years from the date of initial grant.</footnote>
		<footnote id="F5">The Deferred Stock Units were accrued under the Rule 16b-3 qualified General Motors Deferred Compensation Plan.  Dividend equivalents are earned on each Deferred Stock Unit.  Units held as of 12/31/02.  The Deferred Stock Units convert on a '1 for 1' basis.  The price of zero and the dates of 08/08/88 are fictional and only used for purposes of facilitating the electronic filing of this Form.</footnote>
		<footnote id="F6">The Restricted Stock Units were accrued under the Rule 16b-3 qualified General Motors Annual Incentive Plan.  Dividend equivalents are earned on each Restricted Stock Unit.  Units held as of 01/21/03.  The Restricted Stock Units convert on a '1 for 1' basis.  The price of zero and the dates of 08/08/88 are fictional and only used for purposes of facilitating the electronic filing of this Form.</footnote>
	</footnotes>
	<remarks>
	</remarks>
	<ownerSignature>
		<signatureName>By: Martin I. Darvick - Attorney-in-Fact for</signatureName>
		<signatureDate>2003-12-16</signatureDate>
	</ownerSignature>
</ownershipDocument>

