-----BEGIN PRIVACY-ENHANCED MESSAGE-----
Proc-Type: 2001,MIC-CLEAR
Originator-Name: webmaster@www.sec.gov
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MIC-Info: RSA-MD5,RSA,
 AzckyROmDC9nqIWckB8Uy5EcmKdOEvqbnheqsYxdlnkV5fv0n5J6q9SHuUDf5zUE
 lpufpyAX0mK0NDV2OaugkQ==

<SEC-DOCUMENT>0001037676-03-000035.txt : 20030605
<SEC-HEADER>0001037676-03-000035.hdr.sgml : 20030605
<ACCEPTANCE-DATETIME>20030605155150
ACCESSION NUMBER:		0001037676-03-000035
CONFORMED SUBMISSION TYPE:	4
PUBLIC DOCUMENT COUNT:		1
CONFORMED PERIOD OF REPORT:	20030604
FILED AS OF DATE:		20030605

REPORTING-OWNER:	

	OWNER DATA:	
		COMPANY CONFORMED NAME:			PEUGH DAVID B
		CENTRAL INDEX KEY:			0001046089
		STATE OF INCORPORATION:			DE
		FISCAL YEAR END:			1231

	FILING VALUES:
		FORM TYPE:		4
		SEC ACT:		1934 Act
		SEC FILE NUMBER:	001-13105
		FILM NUMBER:		03734186

	BUSINESS ADDRESS:	
		STREET 1:		CITYPLACE ONE STE 300
		CITY:			ST LOUIS
		STATE:			MO
		ZIP:			63141
		BUSINESS PHONE:		3149942700

ISSUER:		

	COMPANY DATA:	
		COMPANY CONFORMED NAME:			ARCH COAL INC
		CENTRAL INDEX KEY:			0001037676
		STANDARD INDUSTRIAL CLASSIFICATION:	BITUMINOUS COAL & LIGNITE SURFACE MINING [1221]
		IRS NUMBER:				430921172
		STATE OF INCORPORATION:			DE
		FISCAL YEAR END:			1231

	BUSINESS ADDRESS:	
		STREET 1:		CITY PLACE ONE STE 300
		STREET 2:		ARCH MINERAL CORP
		CITY:			ST LOUIS
		STATE:			MO
		ZIP:			63141
		BUSINESS PHONE:		3149942700

	MAIL ADDRESS:	
		STREET 1:		CITYPLACE ONE SUITE 300
		STREET 2:		ARCH MINERAL CORP
		CITY:			CREVE COEUR
		STATE:			MO
		ZIP:			63141

	FORMER COMPANY:	
		FORMER CONFORMED NAME:	ARCH MINERAL CORP
		DATE OF NAME CHANGE:	19970411
</SEC-HEADER>
<DOCUMENT>
<TYPE>4
<SEQUENCE>1
<FILENAME>peugh4060403_ex.xml
<TEXT>
<XML>
<?xml version="1.0"?>
<!-- - EDGAR Ease Plus 1.0                                   04/22/03  TZ    -->
<ownershipDocument>
    <schemaVersion>X0101</schemaVersion>

    <documentType>4</documentType>
   <periodOfReport>2003-06-04</periodOfReport>
   <notSubjectToSection16>0</notSubjectToSection16>
    <issuer>
        <issuerCik>0001037676</issuerCik>
        <issuerName>ARCH COAL INC</issuerName>
        <issuerTradingSymbol>ACI</issuerTradingSymbol>
   </issuer>
   <reportingOwner>
      <reportingOwnerId>
            <rptOwnerCik>0001046089</rptOwnerCik>
            <rptOwnerName>PEUGH DAVID B</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>  </rptOwnerStreet1>
            <rptOwnerStreet2>  </rptOwnerStreet2>
            <rptOwnerCity>  </rptOwnerCity>
            <rptOwnerState>  </rptOwnerState>
            <rptOwnerZipCode>  </rptOwnerZipCode>
        </reportingOwnerAddress>
            <reportingOwnerRelationship>
         <isDirector>0</isDirector>
         <isOfficer>1</isOfficer>
         <isTenPercentOwner>0</isTenPercentOwner>
         <isOther>0</isOther>
         <officerTitle>Vice President - Bus Dev</officerTitle>
       </reportingOwnerRelationship>
   </reportingOwner>
   <nonDerivativeSecurity>
      <securityTitle>
         <value>Common Stock</value>
            <footnoteId id="F1"/>
      </securityTitle>
      <transactionDate>
         <value>2003-06-04</value>
      </transactionDate>
      <deemedExecutionDate>
         <value>2003-06-05</value>
      </deemedExecutionDate>
      <transactionCoding>
         <transactionFormType>4</transactionFormType>
         <transactionCode>M</transactionCode>
         <equitySwapInvolved>0</equitySwapInvolved>
      </transactionCoding>
      <transactionAmounts>
         <transactionShares>
           <value>15000</value>
         </transactionShares>
         <transactionValue>
           <value>10.6875</value>
         </transactionValue>
         <transactionAcquiredDisposedCode>
           <value>A</value>
         </transactionAcquiredDisposedCode>
      </transactionAmounts>
     <postTransactionAmounts>
         <sharesOwnedFollowingTransaction>
           <value>2994</value>
         </sharesOwnedFollowingTransaction>
      </postTransactionAmounts>
      <ownershipNature>
         <directOrIndirectOwnership>
            <value>D</value>
         </directOrIndirectOwnership>
      </ownershipNature>
   </nonDerivativeSecurity>
   <nonDerivativeSecurity>
      <securityTitle>
         <value>Common Stock</value>
            <footnoteId id="F1"/>
      </securityTitle>
      <transactionDate>
         <value>2003-06-04</value>
      </transactionDate>
      <deemedExecutionDate>
         <value>2003-06-05</value>
      </deemedExecutionDate>
      <transactionCoding>
         <transactionFormType>4</transactionFormType>
         <transactionCode>S</transactionCode>
         <equitySwapInvolved>0</equitySwapInvolved>
      </transactionCoding>
      <transactionAmounts>
         <transactionShares>
           <value>15000</value>
         </transactionShares>
         <transactionValue>
           <value>23.00</value>
         </transactionValue>
         <transactionAcquiredDisposedCode>
           <value>D</value>
         </transactionAcquiredDisposedCode>
      </transactionAmounts>
     <postTransactionAmounts>
         <sharesOwnedFollowingTransaction>
           <value>840</value>
         </sharesOwnedFollowingTransaction>
      </postTransactionAmounts>
      <ownershipNature>
         <directOrIndirectOwnership>
            <value>I</value>
         </directOrIndirectOwnership>
         <natureOfOwnership>
            <value>By 401(k)</value>
         </natureOfOwnership>
      </ownershipNature>
   </nonDerivativeSecurity>
   <derivativeSecurity>
      <securityTitle>
         <value>Employee Stock Option</value>
      </securityTitle>
      <conversionOrExercisePrice>
         <value>10.6875</value>
      </conversionOrExercisePrice>
      <transactionDate>
         <value>2003-06-04</value>
      </transactionDate>
      <deemedExecutionDate>
         <value>2003-06-05</value>
      </deemedExecutionDate>
      <transactionCoding>
         <transactionFormType>4</transactionFormType>
         <transactionCode>M</transactionCode>
         <equitySwapInvolved>0</equitySwapInvolved>
      </transactionCoding>
      <transactionAmounts>
         <transactionShares>
           <value>15000</value>
         </transactionShares>
         <transactionValue>
           <value>10.6875</value>
         </transactionValue>
         <transactionAcquiredDisposedCode>
           <value>D</value>
         </transactionAcquiredDisposedCode>
      </transactionAmounts>
      <exerciseDate>
         <value>1999-02-25</value>
      </exerciseDate>
      <expirationDate>
         <value>2009-02-24</value>
      </expirationDate>
      <underlyingSecurity>
         <underlyingSecurityTitle>
           <value>Common Stock</value>
         </underlyingSecurityTitle>
         <underlyingSecurityShares>
           <value>15000</value>
         </underlyingSecurityShares>
      </underlyingSecurity>
      <postTransactionAmounts>
         <sharesOwnedFollowingTransaction>
           <value>11500</value>
         </sharesOwnedFollowingTransaction>
      </postTransactionAmounts>
      <ownershipNature>
         <directOrIndirectOwnership>
           <value>D</value>
         </directOrIndirectOwnership>
      </ownershipNature>
   </derivativeSecurity>
   <footnotes>
<footnote id="F1"> Cashless exercise of employee stock option pursuant to a pre-existing 10(b)5-1 plan</footnote>
   </footnotes>
   <ownerSignature>
      <signatureName>Janet L. Horgan, Attorney-in-Fact</signatureName>
      <signatureDate>2003-06-05</signatureDate>
   </ownerSignature>
</ownershipDocument>

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