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

    <schemaVersion>X0202</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2007-11-01</periodOfReport>

    <issuer>
        <issuerCik>0000728535</issuerCik>
        <issuerName>HUNT J B TRANSPORT SERVICES INC</issuerName>
        <issuerTradingSymbol>JBHT</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001190252</rptOwnerCik>
            <rptOwnerName>MEE DAVID G</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>615 J.B. HUNT CORPORATE DRIVE</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>LOWELL</rptOwnerCity>
            <rptOwnerState>AR</rptOwnerState>
            <rptOwnerZipCode>72745</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>1</isOther>
            <officerTitle></officerTitle>
            <otherText>Sr. VP, Tax/Risk Management</otherText>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>401(k)</value>
            </securityTitle>
            <transactionDate>
                <value>2007-11-01</value>
            </transactionDate>
            <deemedExecutionDate>
                <value>2007-11-01</value>
            </deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>W</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>3223</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>26.96</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>4246</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
        <nonDerivativeHolding>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>57530</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeHolding>
    </nonDerivativeTable>

    <derivativeTable>
        <derivativeTransaction>
            <securityTitle>
                <value>Restricted Stock</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <value>0</value>
            </conversionOrExercisePrice>
            <transactionDate>
                <value>2007-11-01</value>
            </transactionDate>
            <deemedExecutionDate>
                <value>2007-11-01</value>
            </deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>A</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
                <footnoteId id="F1"/>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>17000</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>0</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <exerciseDate>
                <value>2015-07-15</value>
            </exerciseDate>
            <expirationDate>
                <value>2015-08-15</value>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Common Stock</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>17000</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>43000</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </derivativeTransaction>
        <derivativeHolding>
            <securityTitle>
                <value>Right to Buy   Stock Option</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <value>3.125</value>
            </conversionOrExercisePrice>
            <exerciseDate>
                <value>1999-06-01</value>
            </exerciseDate>
            <expirationDate>
                <value>2009-10-08</value>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Common Stock</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>2000</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>2000</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </derivativeHolding>
        <derivativeHolding>
            <securityTitle>
                <value>Right to Buy   Stock Option</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <value>5.585</value>
            </conversionOrExercisePrice>
            <exerciseDate>
                <value>2002-06-01</value>
            </exerciseDate>
            <expirationDate>
                <value>2013-02-07</value>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Common Stock</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>32000</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>32000</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </derivativeHolding>
        <derivativeHolding>
            <securityTitle>
                <value>Right to Buy   Stock Option</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <value>7.08</value>
            </conversionOrExercisePrice>
            <exerciseDate>
                <value>2004-06-01</value>
            </exerciseDate>
            <expirationDate>
                <value>2013-10-24</value>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Common Stock</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>33336</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>33336</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </derivativeHolding>
        <derivativeHolding>
            <securityTitle>
                <value>Right to Buy   Stock Option</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <value>12.2</value>
            </conversionOrExercisePrice>
            <exerciseDate>
                <value>2009-06-01</value>
            </exerciseDate>
            <expirationDate>
                <value>2014-10-23</value>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Common Stock</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>32000</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>32000</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </derivativeHolding>
        <derivativeHolding>
            <securityTitle>
                <value>Right to Buy   Stock Option</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <value>20.365</value>
            </conversionOrExercisePrice>
            <exerciseDate>
                <value>2012-06-01</value>
            </exerciseDate>
            <expirationDate>
                <value>2015-10-21</value>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Common Stock</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>32000</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>32000</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </derivativeHolding>
    </derivativeTable>

    <footnotes>
        <footnote id="F1">The Resrtricted Stock award, approved by the Company's Compensation Committee, vests over an eight-year period.   There is no purchase price required by the recipient in connection with this award.  Termination of the recipient's employment for any reason other than death or disability shall result in forfeiture of the award on the date of termination.</footnote>
    </footnotes>

    <ownerSignature>
        <signatureName>Debbie Willbanks</signatureName>
        <signatureDate>2007-11-02</signatureDate>
    </ownerSignature>
</ownershipDocument>
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X0202
4
2007-11-01
0000728535
HUNT J B TRANSPORT SERVICES INC
JBHT
0001190252
MEE DAVID G
615 J.B. HUNT CORPORATE DRIVE
LOWELL
AR
72745
0
0
0
1
Sr. VP, Tax/Risk Management
401(k)
2007-11-01
2007-11-01
4
W
0
3223
26.96
D
4246
D
Common Stock
57530
D
Restricted Stock
0
2007-11-01
2007-11-01
4
A
0
17000
0
A
2015-07-15
2015-08-15
Common Stock
17000
43000
D
Right to Buy   Stock Option
3.125
1999-06-01
2009-10-08
Common Stock
2000
2000
D
Right to Buy   Stock Option
5.585
2002-06-01
2013-02-07
Common Stock
32000
32000
D
Right to Buy   Stock Option
7.08
2004-06-01
2013-10-24
Common Stock
33336
33336
D
Right to Buy   Stock Option
12.2
2009-06-01
2014-10-23
Common Stock
32000
32000
D
Right to Buy   Stock Option
20.365
2012-06-01
2015-10-21
Common Stock
32000
32000
D
The Resrtricted Stock award, approved by the Company's Compensation Committee, vests over an eight-year period.   There is no purchase price required by the recipient in connection with this award.  Termination of the recipient's employment for any reason other than death or disability shall result in forfeiture of the award on the date of termination.
Debbie Willbanks
2007-11-02