-----BEGIN PRIVACY-ENHANCED MESSAGE-----
Proc-Type: 2001,MIC-CLEAR
Originator-Name: webmaster@www.sec.gov
Originator-Key-Asymmetric:
 MFgwCgYEVQgBAQICAf8DSgAwRwJAW2sNKK9AVtBzYZmr6aGjlWyK3XmZv3dTINen
 TWSM7vrzLADbmYQaionwg5sDW3P6oaM5D3tdezXMm7z1T+B+twIDAQAB
MIC-Info: RSA-MD5,RSA,
 N1t+D2KWLW2Nwn7G2P2k4t1EuGxVZ4zzLhaWvduYFdVYpml6ErvrtsT2SUaxz2VW
 lPUaISAiuUuBHqkvptjd0A==

<SEC-DOCUMENT>0001181431-03-010000.txt : 20030604
<SEC-HEADER>0001181431-03-010000.hdr.sgml : 20030604
<ACCEPTANCE-DATETIME>20030604164036
ACCESSION NUMBER:		0001181431-03-010000
CONFORMED SUBMISSION TYPE:	4
PUBLIC DOCUMENT COUNT:		1
CONFORMED PERIOD OF REPORT:	20030604
FILED AS OF DATE:		20030604

REPORTING-OWNER:	

	OWNER DATA:	
		COMPANY CONFORMED NAME:			SLAYTON JOHN W JR
		CENTRAL INDEX KEY:			0001187066

	FILING VALUES:
		FORM TYPE:		4
		SEC ACT:		1934 Act
		SEC FILE NUMBER:	001-05684
		FILM NUMBER:		03732865

	BUSINESS ADDRESS:	
		STREET 1:		100 GRAINGER PARKWAY
		CITY:			LAKE FOREST
		STATE:			IL
		ZIP:			60045
		BUSINESS PHONE:		8475351000

ISSUER:		

	COMPANY DATA:	
		COMPANY CONFORMED NAME:			GRAINGER W W INC
		CENTRAL INDEX KEY:			0000277135
		STANDARD INDUSTRIAL CLASSIFICATION:	WHOLESALE-DURABLE GOODS [5000]
		IRS NUMBER:				361150280
		STATE OF INCORPORATION:			IL
		FISCAL YEAR END:			1231

	BUSINESS ADDRESS:	
		STREET 1:		100 GRAINGER PARKWAY
		CITY:			LAKE FOREST
		STATE:			IL
		ZIP:			60045-5201
		BUSINESS PHONE:		847-535-1000

	MAIL ADDRESS:	
		STREET 1:		100 GRAINGER PARKWAY
		CITY:			LAKE FOREST
		STATE:			IL
		ZIP:			60045
</SEC-HEADER>
<DOCUMENT>
<TYPE>4
<SEQUENCE>1
<FILENAME>rrd10449.xml
<DESCRIPTION>FORM 4
<TEXT>
<XML>
<?xml version="1.0"?>
<ownershipDocument>
    <schemaVersion>X0101</schemaVersion>

    <documentType>4</documentType>
<periodOfReport>2003-06-04</periodOfReport>
<notSubjectToSection16>0</notSubjectToSection16>
    <issuer>
        <issuerCik>0000277135</issuerCik>
        <issuerName>GRAINGER W W INC</issuerName>
        <issuerTradingSymbol>GWW</issuerTradingSymbol></issuer>
<reportingOwner>
<reportingOwnerId>
            <rptOwnerCik>0001187066</rptOwnerCik>
            <rptOwnerName>SLAYTON JOHN W JR</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>Sr. VP, Merchandising</officerTitle>
<otherText></otherText></reportingOwnerRelationship></reportingOwner>
<nonDerivativeSecurity>
<securityTitle>
<value>Common Stock</value></securityTitle>
<transactionDate>
<value>2003-06-04</value></transactionDate>
<transactionCoding>
<transactionFormType>4</transactionFormType>
<transactionCode>S</transactionCode>
<equitySwapInvolved>0</equitySwapInvolved></transactionCoding>
<transactionTimeliness>
<value></value></transactionTimeliness>
<transactionAmounts>
<transactionShares>
<value>2863</value></transactionShares>
<transactionValue>
<value>48.75</value></transactionValue>
<transactionAcquiredDisposedCode>
<value>D</value></transactionAcquiredDisposedCode></transactionAmounts>
<postTransactionAmounts>
<sharesOwnedFollowingTransaction>
<value>51764</value></sharesOwnedFollowingTransaction></postTransactionAmounts>
<ownershipNature>
<directOrIndirectOwnership>
<value>D</value></directOrIndirectOwnership>
<natureOfOwnership>
<value></value></natureOfOwnership></ownershipNature></nonDerivativeSecurity>
<ownerSignature>
<signatureName>K. S. Kirsner, as attorney-in-fact</signatureName>
<signatureDate>2003-06-04</signatureDate></ownerSignature></ownershipDocument>


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