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

    <documentType>4</documentType>
	<periodOfReport>2003-11-26</periodOfReport>
	<notSubjectToSection16>0</notSubjectToSection16>
    <issuer>
        <issuerCik>0000040730</issuerCik>
        <issuerName>GENERAL MOTORS CORP</issuerName>
        <issuerTradingSymbol>GM &amp; GMH</issuerTradingSymbol>
	</issuer>
	<reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001181674</rptOwnerCik>
            <rptOwnerName>SCHMIDT PAUL W</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>300 RENAISSANCE CENTER</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>Controller</officerTitle>
		</reportingOwnerRelationship>
	</reportingOwner>
	<nonDerivativeTable>
		<nonDerivativeTransaction>
			<securityTitle>
				<value>General Motors Common Stock, $1-2/3 Par Value</value>
			</securityTitle>
			<transactionDate>
				<value>2003-11-26</value>
			</transactionDate>
			<deemedExecutionDate>
			</deemedExecutionDate>
			<transactionCoding>
				<transactionFormType>5</transactionFormType>
				<transactionCode>G</transactionCode>
				<equitySwapInvolved>0</equitySwapInvolved>
			</transactionCoding>
			<transactionAmounts>
				<transactionShares>
					<value>360</value>
				</transactionShares>
				<transactionPricePerShare>
					<value>0</value>
				</transactionPricePerShare>
				<transactionAcquiredDisposedCode>
					<value>D</value>
				</transactionAcquiredDisposedCode>
			</transactionAmounts>
			<postTransactionAmounts>
				<sharesOwnedFollowingTransaction>
					<value>19645</value>
				</sharesOwnedFollowingTransaction>
			</postTransactionAmounts>
			<ownershipNature>
				<directOrIndirectOwnership>
					<value>D</value>
				</directOrIndirectOwnership>
				<natureOfOwnership>
					<value/>
				</natureOfOwnership>
			</ownershipNature>
		</nonDerivativeTransaction>
		<nonDerivativeHolding>
			<securityTitle>
				<value>General Motors Common Stock, $1-2/3 Par Value</value>
			</securityTitle>
			<postTransactionAmounts>
				<sharesOwnedFollowingTransaction>
					<value>1772</value>
				</sharesOwnedFollowingTransaction>
			</postTransactionAmounts>
			<ownershipNature>
				<directOrIndirectOwnership>
					<value>I</value>
				</directOrIndirectOwnership>
				<natureOfOwnership>
					<value>Trust</value>
					<footnoteId id="F1"/>
				</natureOfOwnership>
			</ownershipNature>
		</nonDerivativeHolding>
		<nonDerivativeHolding>
			<securityTitle>
				<value>GM Class H Common Stock, $.10 Par Value</value>
			</securityTitle>
			<postTransactionAmounts>
				<sharesOwnedFollowingTransaction>
					<value>14022</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="F2"/>
			</securityTitle>
			<conversionOrExercisePrice>
				<value>45.30</value>
			</conversionOrExercisePrice>
			<exerciseDate>
				<value>1995-01-10</value>
				<footnoteId id="F2"/>
			</exerciseDate>
			<expirationDate>
				<value>2004-01-11</value>
			</expirationDate>
			<underlyingSecurity>
				<underlyingSecurityTitle>
					<value>General Motors Common Stock, $1-2/3 Par Value</value>
				</underlyingSecurityTitle>
				<underlyingSecurityShares>
					<value>11736</value>
				</underlyingSecurityShares>
			</underlyingSecurity>
			<postTransactionAmounts>
				<sharesOwnedFollowingTransaction>
					<value>11736</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="F2"/>
			</securityTitle>
			<conversionOrExercisePrice>
				<value>33.17</value>
			</conversionOrExercisePrice>
			<exerciseDate>
				<value>1996-01-09</value>
				<footnoteId id="F2"/>
			</exerciseDate>
			<expirationDate>
				<value>2005-01-10</value>
			</expirationDate>
			<underlyingSecurity>
				<underlyingSecurityTitle>
					<value>General Motors Common Stock, $1-2/3 Par Value</value>
				</underlyingSecurityTitle>
				<underlyingSecurityShares>
					<value>13040</value>
				</underlyingSecurityShares>
			</underlyingSecurity>
			<postTransactionAmounts>
				<sharesOwnedFollowingTransaction>
					<value>13040</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="F2"/>
			</securityTitle>
			<conversionOrExercisePrice>
				<value>40.07</value>
			</conversionOrExercisePrice>
			<exerciseDate>
				<value>1997-02-05</value>
				<footnoteId id="F2"/>
			</exerciseDate>
			<expirationDate>
				<value>2006-02-06</value>
			</expirationDate>
			<underlyingSecurity>
				<underlyingSecurityTitle>
					<value>General Motors Common Stock, $1-2/3 Par Value</value>
				</underlyingSecurityTitle>
				<underlyingSecurityShares>
					<value>13040</value>
				</underlyingSecurityShares>
			</underlyingSecurity>
			<postTransactionAmounts>
				<sharesOwnedFollowingTransaction>
					<value>13040</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="F2"/>
			</securityTitle>
			<conversionOrExercisePrice>
				<value>44.73</value>
			</conversionOrExercisePrice>
			<exerciseDate>
				<value>1998-02-03</value>
				<footnoteId id="F2"/>
			</exerciseDate>
			<expirationDate>
				<value>2007-02-04</value>
			</expirationDate>
			<underlyingSecurity>
				<underlyingSecurityTitle>
					<value>General Motors Common Stock, $1-2/3 Par Value</value>
				</underlyingSecurityTitle>
				<underlyingSecurityShares>
					<value>15648</value>
				</underlyingSecurityShares>
			</underlyingSecurity>
			<postTransactionAmounts>
				<sharesOwnedFollowingTransaction>
					<value>15648</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="F2"/>
			</securityTitle>
			<conversionOrExercisePrice>
				<value>46.59</value>
			</conversionOrExercisePrice>
			<exerciseDate>
				<value>1999-01-12</value>
				<footnoteId id="F2"/>
			</exerciseDate>
			<expirationDate>
				<value>2008-01-13</value>
			</expirationDate>
			<underlyingSecurity>
				<underlyingSecurityTitle>
					<value>General Motors Common Stock, $1-2/3 Par Value</value>
				</underlyingSecurityTitle>
				<underlyingSecurityShares>
					<value>15626</value>
				</underlyingSecurityShares>
			</underlyingSecurity>
			<postTransactionAmounts>
				<sharesOwnedFollowingTransaction>
					<value>15626</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="F2"/>
			</securityTitle>
			<conversionOrExercisePrice>
				<value>71.53</value>
			</conversionOrExercisePrice>
			<exerciseDate>
				<value>2000-01-11</value>
				<footnoteId id="F2"/>
			</exerciseDate>
			<expirationDate>
				<value>2009-01-12</value>
			</expirationDate>
			<underlyingSecurity>
				<underlyingSecurityTitle>
					<value>General Motors Common Stock, $1-2/3 Par Value</value>
				</underlyingSecurityTitle>
				<underlyingSecurityShares>
					<value>18030</value>
				</underlyingSecurityShares>
			</underlyingSecurity>
			<postTransactionAmounts>
				<sharesOwnedFollowingTransaction>
					<value>18030</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="F2"/>
			</securityTitle>
			<conversionOrExercisePrice>
				<value>75.50</value>
			</conversionOrExercisePrice>
			<exerciseDate>
				<value>2001-01-10</value>
				<footnoteId id="F2"/>
			</exerciseDate>
			<expirationDate>
				<value>2010-01-11</value>
			</expirationDate>
			<underlyingSecurity>
				<underlyingSecurityTitle>
					<value>General Motors Common Stock, $1-2/3 Par Value</value>
				</underlyingSecurityTitle>
				<underlyingSecurityShares>
					<value>16000</value>
				</underlyingSecurityShares>
			</underlyingSecurity>
			<postTransactionAmounts>
				<sharesOwnedFollowingTransaction>
					<value>16000</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="F2"/>
			</securityTitle>
			<conversionOrExercisePrice>
				<value>52.35</value>
			</conversionOrExercisePrice>
			<exerciseDate>
				<value>2002-01-08</value>
				<footnoteId id="F2"/>
			</exerciseDate>
			<expirationDate>
				<value>2011-01-09</value>
			</expirationDate>
			<underlyingSecurity>
				<underlyingSecurityTitle>
					<value>General Motors Common Stock, $1-2/3 Par Value</value>
				</underlyingSecurityTitle>
				<underlyingSecurityShares>
					<value>17000</value>
				</underlyingSecurityShares>
			</underlyingSecurity>
			<postTransactionAmounts>
				<sharesOwnedFollowingTransaction>
					<value>17000</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="F2"/>
			</securityTitle>
			<conversionOrExercisePrice>
				<value>50.46</value>
			</conversionOrExercisePrice>
			<exerciseDate>
				<value>2003-01-07</value>
				<footnoteId id="F2"/>
			</exerciseDate>
			<expirationDate>
				<value>2012-01-08</value>
			</expirationDate>
			<underlyingSecurity>
				<underlyingSecurityTitle>
					<value>General Motors Common Stock, $1-2/3 Par Value</value>
				</underlyingSecurityTitle>
				<underlyingSecurityShares>
					<value>17000</value>
				</underlyingSecurityShares>
			</underlyingSecurity>
			<postTransactionAmounts>
				<sharesOwnedFollowingTransaction>
					<value>17000</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="F2"/>
			</securityTitle>
			<conversionOrExercisePrice>
				<value>50.82</value>
			</conversionOrExercisePrice>
			<exerciseDate>
				<value>2003-02-04</value>
				<footnoteId id="F2"/>
			</exerciseDate>
			<expirationDate>
				<value>2012-02-05</value>
			</expirationDate>
			<underlyingSecurity>
				<underlyingSecurityTitle>
					<value>General Motors Common Stock, $1-2/3 Par Value</value>
				</underlyingSecurityTitle>
				<underlyingSecurityShares>
					<value>8500</value>
				</underlyingSecurityShares>
			</underlyingSecurity>
			<postTransactionAmounts>
				<sharesOwnedFollowingTransaction>
					<value>8500</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="F2"/>
			</securityTitle>
			<conversionOrExercisePrice>
				<value>40.05</value>
			</conversionOrExercisePrice>
			<exerciseDate>
				<value>2004-01-21</value>
				<footnoteId id="F2"/>
			</exerciseDate>
			<expirationDate>
				<value>2013-01-22</value>
			</expirationDate>
			<underlyingSecurity>
				<underlyingSecurityTitle>
					<value>General Motors Common Stock, $1-2/3 Par Value</value>
				</underlyingSecurityTitle>
				<underlyingSecurityShares>
					<value>17000</value>
				</underlyingSecurityShares>
			</underlyingSecurity>
			<postTransactionAmounts>
				<sharesOwnedFollowingTransaction>
					<value>17000</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="F3"/>
			</securityTitle>
			<conversionOrExercisePrice>
				<value>0.00</value>
				<footnoteId id="F3"/>
			</conversionOrExercisePrice>
			<exerciseDate>
				<value>1988-08-08</value>
				<footnoteId id="F3"/>
			</exerciseDate>
			<expirationDate>
				<value>1988-08-08</value>
				<footnoteId id="F3"/>
			</expirationDate>
			<underlyingSecurity>
				<underlyingSecurityTitle>
					<value>General Motors Common Stock, $1-2/3 Par Value</value>
				</underlyingSecurityTitle>
				<underlyingSecurityShares>
					<value>7195</value>
				</underlyingSecurityShares>
			</underlyingSecurity>
			<postTransactionAmounts>
				<sharesOwnedFollowingTransaction>
					<value>7195</value>
				</sharesOwnedFollowingTransaction>
			</postTransactionAmounts>
			<ownershipNature>
				<directOrIndirectOwnership>
					<value>D</value>
				</directOrIndirectOwnership>
				<natureOfOwnership>
					<value/>
				</natureOfOwnership>
			</ownershipNature>
		</derivativeHolding>
	</derivativeTable>
	<footnotes>
		<footnote id="F1">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="F2">Employee stock options granted pursuant to Rule 16b-3 qualified General Motors Stock Incentive Plan.  Stock options are exercisable in three equal annual installments, commencing, respectively, one, two and three years from the date of initial grant.</footnote>
		<footnote id="F3">The Restricted Stock Units were accrued under the Rule 16b-3 qualified General Motors Deferred Compensation Plan.  Dividend equivalents are earned on each Restricted Stock Unit.  Units held as of 12/31/02.  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 - POA for</signatureName>
		<signatureDate>2003-12-01</signatureDate>
	</ownerSignature>
</ownershipDocument>

