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<ownershipDocument>

    <schemaVersion>X0407</schemaVersion>

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    <periodOfReport>2023-03-23</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0001034670</issuerCik>
        <issuerName>AUTOLIV INC</issuerName>
        <issuerTradingSymbol>ALV</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001786895</rptOwnerCik>
            <rptOwnerName>Swahn Christian</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O AUTOLIV, INC.</rptOwnerStreet1>
            <rptOwnerStreet2>KLARABERGSVIADUKTEN 70, SECTION B7</rptOwnerStreet2>
            <rptOwnerCity>STOCKHOLM</rptOwnerCity>
            <rptOwnerState>V7</rptOwnerState>
            <rptOwnerZipCode>SE-111 64</rptOwnerZipCode>
            <rptOwnerStateDescription>SWEDEN</rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>1</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle>See Remarks</officerTitle>
        </reportingOwnerRelationship>
    </reportingOwner>

    <aff10b5One>0</aff10b5One>

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            </securityTitle>
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            <deemedExecutionDate></deemedExecutionDate>
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                </transactionShares>
                <transactionPricePerShare>
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                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
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                </transactionAcquiredDisposedCode>
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            <exerciseDate>
                <value>2024-02-18</value>
            </exerciseDate>
            <expirationDate>
                <value>2024-02-18</value>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Common Stock</value>
                </underlyingSecurityTitle>
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                </directOrIndirectOwnership>
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                </transactionShares>
                <transactionPricePerShare>
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                <transactionCode>A</transactionCode>
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                <transactionPricePerShare>
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                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
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                </transactionAcquiredDisposedCode>
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            <exerciseDate>
                <value>2025-02-21</value>
            </exerciseDate>
            <expirationDate>
                <value>2025-02-21</value>
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                <underlyingSecurityTitle>
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            </underlyingSecurity>
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                </directOrIndirectOwnership>
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        <derivativeTransaction>
            <securityTitle>
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                <transactionPricePerShare>
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            </underlyingSecurity>
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                <sharesOwnedFollowingTransaction>
                    <value>330.4921</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
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                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
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        </derivativeTransaction>
        <derivativeTransaction>
            <securityTitle>
                <value>Restricted Stock Unit</value>
            </securityTitle>
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            <transactionDate>
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            <deemedExecutionDate></deemedExecutionDate>
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                <transactionCode>A</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
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            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>3.8629</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>0.00</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
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            <exerciseDate>
                <value>2026-02-15</value>
            </exerciseDate>
            <expirationDate>
                <value>2026-02-15</value>
            </expirationDate>
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                <underlyingSecurityTitle>
                    <value>Common Stock</value>
                </underlyingSecurityTitle>
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                    <value>3.8629</value>
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                <sharesOwnedFollowingTransaction>
                    <value>518.8629</value>
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            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
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    <footnotes>
        <footnote id="F1">Each restricted stock unit (RSU) represents a contingent right to receive one share of ALV common stock.</footnote>
        <footnote id="F2">Dividend equivalent rights accrued in the form of additional RSUs.  Per the award agreement, cash dividends with a record date on or after the grant date and paid on or before the vesting date yield additional RSUs subject to the same vesting schedule as the underlying RSUs.</footnote>
        <footnote id="F3">The PSUs, as adjusted if necessary, vest and convert to shares in one installment after the completion of the third one-year performance period ending December 31, 2023 and the Leadership Development and Compensation Committee's certification of the level of achievement of the applicable performance objectives.</footnote>
        <footnote id="F4">The PSUs, as adjusted if necessary, vest and convert to shares in one installment after the completion of the third one-year performance period ending December 31, 2024 and the Leadership Development and Compensation Committee's certification of the level of achievement of the applicable performance objectives.</footnote>
    </footnotes>

    <remarks>Executive Vice President, Global Supply Chain Management</remarks>

    <ownerSignature>
        <signatureName>/s/ Brian Kelly as attorney-in-fact</signatureName>
        <signatureDate>2023-03-27</signatureDate>
    </ownerSignature>
</ownershipDocument>
