<?xml version="1.0"?>
<ownershipDocument>

    <schemaVersion>X0303</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2009-11-13</periodOfReport>

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

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001364565</rptOwnerCik>
            <rptOwnerName>Foster Jeffrey L</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. V.P., Operations</officerTitle>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <transactionDate>
                <value>2009-11-13</value>
            </transactionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>A</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
                <footnoteId id="F1"/>
            </transactionCoding>
            <transactionAmounts>
                <transactionShares>
                    <value>194</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>10.07</value>
                    <footnoteId id="F2"/>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>3240.5843</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 November 13, 2009, the Company provided instructions to the Transfer Agent regarding the issuance of shares to the Plan Administrator.  The share purchase price was calculated in accordance with the Plan, and funds withheld from the Reporting Person's October 2009 salary payments plus a benefit amount contributed by the Company as set forth in the Plan, funded the purchase of the shares.  The whole shares are held in the Reporting Person's name in the Plan and the Reporting Person has dispositive and voting control over the shares.  Any remaining amount from the contribution or benefit that was not sufficient to purchase a whole share remains on account with the Plan Administrator and will be added to the following month's amount.</footnote>
        <footnote id="F2">The share price was calculated in accordance with the Plan terms at US $10.07.  Based on the noon rate of exchange of the Bank of Canada on the date of calculation, the converted price is C$ 10.58156.</footnote>
        <footnote id="F3">Shares of the Company's Common Stock held in Reporting Person's name in the Plan and purchased directly from the Company in accordance with the Plan.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>James A. Lank, Attorney-in-Fact</signatureName>
        <signatureDate>2009-11-17</signatureDate>
    </ownerSignature>
</ownershipDocument>
