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Proc-Type: 2001,MIC-CLEAR
Originator-Name: webmaster@www.sec.gov
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 TWSM7vrzLADbmYQaionwg5sDW3P6oaM5D3tdezXMm7z1T+B+twIDAQAB
MIC-Info: RSA-MD5,RSA,
 Trd/03lcmeOviQNfECsrv1x0i2M9w+ib2RJwYecXvOgKk1j6i5ZGap72QYmDyahl
 7hCY/ZZM6hZDrLRthnjVtA==

<SEC-DOCUMENT>0001225208-08-009410.txt : 20080528
<SEC-HEADER>0001225208-08-009410.hdr.sgml : 20080528
<ACCEPTANCE-DATETIME>20080528211304
ACCESSION NUMBER:		0001225208-08-009410
CONFORMED SUBMISSION TYPE:	4
PUBLIC DOCUMENT COUNT:		1
CONFORMED PERIOD OF REPORT:	20080523
FILED AS OF DATE:		20080528
DATE AS OF CHANGE:		20080528

ISSUER:		

	COMPANY DATA:	
		COMPANY CONFORMED NAME:			TESCO CORP
		CENTRAL INDEX KEY:			0001022705
		STANDARD INDUSTRIAL CLASSIFICATION:	OIL & GAS FILED MACHINERY & EQUIPMENT [3533]
		IRS NUMBER:				980053204
		FISCAL YEAR END:			1231

	BUSINESS ADDRESS:	
		STREET 1:		3993 W. SAM HOUSTON PARKWAY N.
		STREET 2:		SUITE 100
		CITY:			HOUSTON
		STATE:			TX
		ZIP:			77043
		BUSINESS PHONE:		713-359-7000

	MAIL ADDRESS:	
		STREET 1:		3993 W. SAM HOUSTON PARKWAY N.
		STREET 2:		SUITE 100
		CITY:			HOUSTON
		STATE:			TX
		ZIP:			77043

	FORMER COMPANY:	
		FORMER CONFORMED NAME:	Tesco CORP
		DATE OF NAME CHANGE:	20061229

	FORMER COMPANY:	
		FORMER CONFORMED NAME:	TESCO CORP
		DATE OF NAME CHANGE:	19960911

REPORTING-OWNER:	

	OWNER DATA:	
		COMPANY CONFORMED NAME:			Lakey Nigel M
		CENTRAL INDEX KEY:			0001364508

	FILING VALUES:
		FORM TYPE:		4
		SEC ACT:		1934 Act
		SEC FILE NUMBER:	000-28778
		FILM NUMBER:		08864807

	BUSINESS ADDRESS:	
		BUSINESS PHONE:		713-359-7000

	MAIL ADDRESS:	
		STREET 1:		3993 W. SAM HOUSTON PARKWAY N.
		STREET 2:		STE. 100
		CITY:			HOUSTON
		STATE:			TX
		ZIP:			77043
</SEC-HEADER>
<DOCUMENT>
<TYPE>4
<SEQUENCE>1
<FILENAME>doc4.xml
<TEXT>
<XML>
<?xml version="1.0"?>
<ownershipDocument>

    <schemaVersion>X0202</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2008-05-23</periodOfReport>

    <issuer>
        <issuerCik>0001022705</issuerCik>
        <issuerName>TESCO CORP</issuerName>
        <issuerTradingSymbol>TESO</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001364508</rptOwnerCik>
            <rptOwnerName>Lakey Nigel M</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>3993 W. SAM HOUSTON PARKWAY N.</rptOwnerStreet1>
            <rptOwnerStreet2>SUITE 100</rptOwnerStreet2>
            <rptOwnerCity>HOUSTON</rptOwnerCity>
            <rptOwnerState>TX</rptOwnerState>
            <rptOwnerZipCode>77043</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isOfficer>1</isOfficer>
            <officerTitle>Sr. VP, Marketing &amp; Bus. Dev.</officerTitle>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <transactionDate>
                <value>2008-05-23</value>
            </transactionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>A</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
                <footnoteId id="F1"/>
            </transactionCoding>
            <transactionAmounts>
                <transactionShares>
                    <value>71.6191</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>30.86</value>
                    <footnoteId id="F2"/>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>25843.9663</value>
                    <footnoteId id="F3"/>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <derivativeTable></derivativeTable>

    <footnotes>
        <footnote id="F1">The shares were acquired by the Reporting Person pursuant to the Company's Amended and Restated Employee Stock Savings Plan (the Plan).  On May 23, 2008, the Company issued shares to the Plan Administrator.  The share purchase price was calculated in accordance with the Plan and funds withheld from the Reporting Person's April salary payments plus a benefit amount contributed by the Company as set forth in the Plan funded the purchase of the shares.  The shares are held in the Reporting Person's name in the Plan and the Reporting Person has dispositive and voting control over the shares.</footnote>
        <footnote id="F2">The purchase price was C$ 31.22.  Based on the noon rate of exchange of the Bank of Canada on the date of purchase, the converted price is US $30.86.</footnote>
        <footnote id="F3">Includes 706.966187 shares held in Reporting Person's name in the Plan, 362.269325 of which were purchased directly from the Company in accordance with the Plan.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>James A. Lank, Attorney-in-Fact</signatureName>
        <signatureDate>2008-05-28</signatureDate>
    </ownerSignature>
</ownershipDocument>
</XML>
</TEXT>
</DOCUMENT>
</SEC-DOCUMENT>
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