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

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    <documentType>4</documentType>

    <periodOfReport>2022-11-18</periodOfReport>

    <notSubjectToSection16>false</notSubjectToSection16>

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

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            <rptOwnerCik>0001940280</rptOwnerCik>
            <rptOwnerName>Frazier Spencer</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>false</isDirector>
            <isOfficer>true</isOfficer>
            <isTenPercentOwner>false</isTenPercentOwner>
            <isOther>false</isOther>
            <officerTitle>EVP of Sales and Marketing</officerTitle>
            <otherText></otherText>
        </reportingOwnerRelationship>
    </reportingOwner>

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                    <value>142.10</value>
                    <footnoteId id="F14"/>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>6170.8628</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <transactionDate>
                <value>2025-11-21</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>P</transactionCode>
                <equitySwapInvolved>false</equitySwapInvolved>
                <footnoteId id="F1"/>
            </transactionCoding>
            <transactionTimeliness></transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>12.904</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>161.69</value>
                    <footnoteId id="F15"/>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>6183.7668</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
        <nonDerivativeHolding>
            <securityTitle>
                <value>Common Stock 401(k)</value>
            </securityTitle>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>12565.3468</value>
                    <footnoteId id="F16"/>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeHolding>
    </nonDerivativeTable>

    <derivativeTable></derivativeTable>

    <footnotes>
        <footnote id="F1">Represents shares acquired through broker administered dividend reinvestment plan.</footnote>
        <footnote id="F2">This transaction was executed in multiple trades at prices ranging from $170.25 to $170.78.  The price reported above reflects the weighted average price. The reporting person hereby undertakes to provide upon request to the SEC staff, the issuer or a security holder of the issuer full information regarding the number of shares sold at each separate price within the ranges set forth in this footnote and in footnotes 10, 12, 14, and 15.</footnote>
        <footnote id="F3">The purchase on November 24, 2023 resulted in an incremental short-swing profit to the reporting person of $52.60 as a result of the reporting person's sale of shares on November 30, 2023. Because the purchases on August 18, 2023 and February 23, 2024 occurred at prices greater than the prices of the reporting person's sale that occurred on November 24, 2023, no incremental short-swing profits were realized by the reporting person in connection with these transactions. The reporting person has delivered a check to the issuer in an aggregate amount of $5,376.51 in payment of the short-swing amounts reported in this footnote and in footnotes 4, 5, 6, 7, 8, 9, 11, and 13 of this Form 4.</footnote>
        <footnote id="F4">This purchase on November 24, 2023 resulted in an incremental short-swing profit to the reporting person of $8.55 as a result of the reporting person's sale of shares on November 30, 2023.</footnote>
        <footnote id="F5">This purchase on May 24, 2024 resulted in an incremental short-swing profit to the reporting person of $47.81 as a result of the reporting person's sale of shares on November 6, 2024.</footnote>
        <footnote id="F6">This purchase on May 24, 2024 resulted in an incremental short-swing profit to the reporting person of $448.42 as a result of the reporting person's sale of shares on November 6, 2024.</footnote>
        <footnote id="F7">This purchase on August 16, 2024 resulted in an incremental short-swing profit to the reporting person of $282.02 as a result of the reporting person's sale of shares on November 6, 2024.</footnote>
        <footnote id="F8">This purchase on August 16, 2024 resulted in an incremental short-swing profit to the reporting person of $34.80 as a result of the reporting person's sale of shares on November 6, 2024.</footnote>
        <footnote id="F9">This purchase on November 22, 2024 resulted in an incremental short-swing profit to the reporting person of $107.58 as a result of the reporting person's sale of shares on November 6, 2024.</footnote>
        <footnote id="F10">This transaction was executed in multiple trades at prices ranging from $182.76 to $183.15. The price reported above reflects the weighted average price.</footnote>
        <footnote id="F11">This purchase on February 21, 2025 resulted in an incremental short-swing profit to the reporting person of $306.39 as a result of the reporting person's sale of shares on November 6, 2024.</footnote>
        <footnote id="F12">This transaction was executed in multiple trades at prices ranging from $169.00 to $169.17. The price reported above reflects the weighted average price.</footnote>
        <footnote id="F13">This purchase on April 7, 2025 resulted in an incremental short-swing profit to the reporting person of $4,088.34 as a result of the reporting person's sale of shares on November 6, 2024.</footnote>
        <footnote id="F14">This transaction was executed in multiple trades at prices ranging from $141.43 to $142.19. The price reported above reflects the weighted average price.</footnote>
        <footnote id="F15">This transaction was executed in multiple trades at prices ranging from $161.50 to $161.72. The price reported above reflects the weighted average price.</footnote>
        <footnote id="F16">Reflects 27.2598 shares acquired through 401(k) contributions since January 31, 2026.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>/s/ Whitney Elliott, Attorney-in-Fact</signatureName>
        <signatureDate>2026-03-13</signatureDate>
    </ownerSignature>
</ownershipDocument>
