-----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,
 IkHPeAZjzEEsFMCuC20isapxNVGElkY/1mxaIlOkHlJkAV7IFezVzS3dkjBOCyP0
 FLvXDpcVG3Fp/SKJAPLDkA==

<SEC-DOCUMENT>0000036029-03-000046.txt : 20031223
<SEC-HEADER>0000036029-03-000046.hdr.sgml : 20031223
<ACCEPTANCE-DATETIME>20031223151051
ACCESSION NUMBER:		0000036029-03-000046
CONFORMED SUBMISSION TYPE:	4
PUBLIC DOCUMENT COUNT:		1
CONFORMED PERIOD OF REPORT:	20031223
FILED AS OF DATE:		20031223

ISSUER:		

	COMPANY DATA:	
		COMPANY CONFORMED NAME:			FIRST FINANCIAL BANKSHARES INC
		CENTRAL INDEX KEY:			0000036029
		STANDARD INDUSTRIAL CLASSIFICATION:	STATE COMMERCIAL BANKS [6022]
		IRS NUMBER:				750944023
		STATE OF INCORPORATION:			TX
		FISCAL YEAR END:			1231

	BUSINESS ADDRESS:	
		STREET 1:		400 PINE STREET
		STREET 2:		P.O. BOX 701
		CITY:			ABILENE
		STATE:			TX
		ZIP:			79601
		BUSINESS PHONE:		915.627.7167

	MAIL ADDRESS:	
		STREET 1:		P.O. BOX 701
		CITY:			ABILENE
		STATE:			TX
		ZIP:			79604

REPORTING-OWNER:	

	OWNER DATA:	
		COMPANY CONFORMED NAME:			MURPHY KENNETH T
		CENTRAL INDEX KEY:			0001243213

	FILING VALUES:
		FORM TYPE:		4
		SEC ACT:		1934 Act
		SEC FILE NUMBER:	000-07674
		FILM NUMBER:		031070821

	BUSINESS ADDRESS:	
		STREET 1:		400 PINE ST
		CITY:			ABILENE
		STATE:			TX
		ZIP:			79601
		BUSINESS PHONE:		3256277155

	MAIL ADDRESS:	
		STREET 1:		400 PINE ST
		CITY:			ABILENE
		STATE:			TX
		ZIP:			79601
</SEC-HEADER>
<DOCUMENT>
<TYPE>4
<SEQUENCE>1
<FILENAME>mur18.xml
<TEXT>
<XML>
<?xml version="1.0"?>
<ownershipDocument>
    <schemaVersion>X0201</schemaVersion>

    <documentType>4</documentType>
	<periodOfReport>2003-12-23</periodOfReport>
	<notSubjectToSection16>0</notSubjectToSection16>
    <issuer>
        <issuerCik>0000036029</issuerCik>
        <issuerName>FIRST FINANCIAL BANKSHARES INC</issuerName>
        <issuerTradingSymbol>FFIN</issuerTradingSymbol>
	</issuer>
	<reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001243213</rptOwnerCik>
            <rptOwnerName>MURPHY KENNETH T</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>400 PINE STREET</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>ABILENE</rptOwnerCity>
            <rptOwnerState>TX</rptOwnerState>
            <rptOwnerZipCode>796040701</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
            <reportingOwnerRelationship>
			<isDirector>1</isDirector>
			<isOfficer>0</isOfficer>
			<isTenPercentOwner>0</isTenPercentOwner>
			<isOther>0</isOther>
		</reportingOwnerRelationship>
	</reportingOwner>
	<nonDerivativeTable>
		<nonDerivativeTransaction>
			<securityTitle>
				<value>Common Stock</value>
			</securityTitle>
			<transactionDate>
				<value>2003-12-23</value>
			</transactionDate>
			<deemedExecutionDate>
			</deemedExecutionDate>
			<transactionCoding>
				<transactionFormType>4</transactionFormType>
				<transactionCode>G</transactionCode>
				<equitySwapInvolved>0</equitySwapInvolved>
			</transactionCoding>
			<transactionAmounts>
				<transactionShares>
					<value>1000</value>
				</transactionShares>
				<transactionPricePerShare>
					<value>0</value>
				</transactionPricePerShare>
				<transactionAcquiredDisposedCode>
					<value>D</value>
				</transactionAcquiredDisposedCode>
			</transactionAmounts>
			<postTransactionAmounts>
				<sharesOwnedFollowingTransaction>
					<value>204680.00</value>
					<footnoteId id="F1"/>
				</sharesOwnedFollowingTransaction>
			</postTransactionAmounts>
			<ownershipNature>
				<directOrIndirectOwnership>
					<value>D</value>
				</directOrIndirectOwnership>
				<natureOfOwnership>
					<value/>
				</natureOfOwnership>
			</ownershipNature>
		</nonDerivativeTransaction>
	</nonDerivativeTable>
	<footnotes>
		<footnote id="F1">Amount has been adjusted for five for four stock split effective 6/2/2003</footnote>
	</footnotes>
	<remarks>
	</remarks>
	<ownerSignature>
		<signatureName>By: J. Bruce Hildebrand, Attorney in Fact for</signatureName>
		<signatureDate>2003-12-23</signatureDate>
	</ownerSignature>
</ownershipDocument>

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