<SEC-DOCUMENT>0000011544-20-000045.txt : 20200602
<SEC-HEADER>0000011544-20-000045.hdr.sgml : 20200602
<ACCEPTANCE-DATETIME>20200602175853
ACCESSION NUMBER:		0000011544-20-000045
CONFORMED SUBMISSION TYPE:	4
PUBLIC DOCUMENT COUNT:		1
CONFORMED PERIOD OF REPORT:	20200601
FILED AS OF DATE:		20200602
DATE AS OF CHANGE:		20200602

REPORTING-OWNER:	

	OWNER DATA:	
		COMPANY CONFORMED NAME:			BROCKBANK MARK ELLWOOD
		CENTRAL INDEX KEY:			0001068341

	FILING VALUES:
		FORM TYPE:		4
		SEC ACT:		1934 Act
		SEC FILE NUMBER:	001-15202
		FILM NUMBER:		20938366

	MAIL ADDRESS:	
		STREET 1:		ROC FLEURI APT C41
		STREET 2:		1 RUE DU TENAO
		CITY:			MONTE CARLO
		STATE:			O9
		ZIP:			98000

ISSUER:		

	COMPANY DATA:	
		COMPANY CONFORMED NAME:			BERKLEY W R CORP
		CENTRAL INDEX KEY:			0000011544
		STANDARD INDUSTRIAL CLASSIFICATION:	FIRE, MARINE & CASUALTY INSURANCE [6331]
		IRS NUMBER:				221867895
		STATE OF INCORPORATION:			DE
		FISCAL YEAR END:			1231

	BUSINESS ADDRESS:	
		STREET 1:		475 STEAMBOAT ROAD
		STREET 2:		.
		CITY:			GREENWICH
		STATE:			CT
		ZIP:			06830
		BUSINESS PHONE:		2036293000

	MAIL ADDRESS:	
		STREET 1:		475 STEAMBOAT ROAD
		STREET 2:		.
		CITY:			GREENWICH
		STATE:			CT
		ZIP:			06830
</SEC-HEADER>
<DOCUMENT>
<TYPE>4
<SEQUENCE>1
<FILENAME>edgar.xml
<DESCRIPTION>PRIMARY DOCUMENT
<TEXT>
<XML>
<?xml version="1.0"?>
<ownershipDocument>

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2020-06-01</periodOfReport>

    <issuer>
        <issuerCik>0000011544</issuerCik>
        <issuerName>BERKLEY W R CORP</issuerName>
        <issuerTradingSymbol>WRB</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001068341</rptOwnerCik>
            <rptOwnerName>BROCKBANK MARK ELLWOOD</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>W. R. BERKLEY CORPORATION</rptOwnerStreet1>
            <rptOwnerStreet2>475 STEAMBOAT ROAD</rptOwnerStreet2>
            <rptOwnerCity>GREENWICH</rptOwnerCity>
            <rptOwnerState>CT</rptOwnerState>
            <rptOwnerZipCode>06830</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle></officerTitle>
            <otherText></otherText>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable></nonDerivativeTable>

    <derivativeTable>
        <derivativeTransaction>
            <securityTitle>
                <value>Phantom Stock</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <footnoteId id="F1"/>
            </conversionOrExercisePrice>
            <transactionDate>
                <value>2020-06-01</value>
            </transactionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>A</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionAmounts>
                <transactionShares>
                    <value>26</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>57.435</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <exerciseDate>
                <footnoteId id="F2"/>
            </exerciseDate>
            <expirationDate>
                <footnoteId id="F2"/>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Common Stock</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>26</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>37369</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </derivativeTransaction>
    </derivativeTable>

    <footnotes>
        <footnote id="F1">Each share of phantom stock is deemed invested in one share of W. R. Berkley Corporation (the &quot;Company&quot;) common stock pursuant to the terms of the Company's Deferred Compensation Plan for Directors.</footnote>
        <footnote id="F2">Shares of phantom stock are payable in cash or stock or any combination thereof, in each case as determined by the Company, upon the reporting person's date of separation from service with the Company.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>Mark E. Brockbank</signatureName>
        <signatureDate>2020-06-02</signatureDate>
    </ownerSignature>
</ownershipDocument>
</XML>
</TEXT>
</DOCUMENT>
</SEC-DOCUMENT>
