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| <?xml version="1.0" encoding="windows-1252"?> |
| <ownershipDocument> |
| <schemaVersion> X0306 </schemaVersion> |
| <documentType> 4 </documentType> |
| <periodOfReport> 2019-12-05 </periodOfReport> |
| <notSubjectToSection16> 0 </notSubjectToSection16> |
| <issuer> |
| | <issuerCik> 0001034670 </issuerCik> |
| | <issuerName> AUTOLIV INC </issuerName> |
| | <issuerTradingSymbol> ALV </issuerTradingSymbol> |
| | </issuer> |
| <reportingOwner> |
| | <reportingOwnerId> |
| | | <rptOwnerCik> 0001009139 </rptOwnerCik> |
| | | <rptOwnerName> RINGLER JAMES M </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> 1 </isDirector> |
| | | <isOfficer> 0 </isOfficer> |
| | | <isTenPercentOwner> 0 </isTenPercentOwner> |
| | | <isOther> 0 </isOther> |
| | | </reportingOwnerRelationship> |
| | </reportingOwner> |
| <derivativeTable> |
| | <derivativeTransaction> |
| | | <securityTitle> |
| <value> Restricted Stock Unit </value> |
| </securityTitle> |
| | | <conversionOrExercisePrice> |
| <footnoteId id="F1"/> |
| </conversionOrExercisePrice> |
| | | <transactionDate> |
| <value> 2019-12-05 </value> |
| </transactionDate> |
| | | <deemedExecutionDate></deemedExecutionDate> |
| | | <transactionCoding> |
| <transactionFormType> 4 </transactionFormType> |
| <transactionCode> A </transactionCode> |
| <equitySwapInvolved> 0 </equitySwapInvolved> |
| <footnoteId id="F2"/> |
| </transactionCoding> |
| | | <transactionTimeliness> |
| <value></value> |
| </transactionTimeliness> |
| | | <transactionAmounts> |
| <transactionShares> |
| <value> 12.2453 </value> |
| </transactionShares> |
| <transactionPricePerShare> |
| <value> 0.00 </value> |
| </transactionPricePerShare> |
| <transactionAcquiredDisposedCode> |
| <value> A </value> |
| </transactionAcquiredDisposedCode> |
| </transactionAmounts> |
| | | <exerciseDate> |
| <footnoteId id="F3"/> |
| </exerciseDate> |
| | | <expirationDate> |
| <footnoteId id="F3"/> |
| </expirationDate> |
| | | <underlyingSecurity> |
| <underlyingSecurityTitle> |
| <value> Common Stock </value> |
| </underlyingSecurityTitle> |
| <underlyingSecurityShares> |
| <value> 12.2453 </value> |
| </underlyingSecurityShares> |
| </underlyingSecurity> |
| | | <postTransactionAmounts> |
| <sharesOwnedFollowingTransaction> |
| <value> 1633.5625 </value> |
| </sharesOwnedFollowingTransaction> |
| </postTransactionAmounts> |
| | | <ownershipNature> |
| <directOrIndirectOwnership> |
| <value> D </value> |
| </directOrIndirectOwnership> |
| </ownershipNature> |
| | | </derivativeTransaction> |
| | </derivativeTable> |
| <footnotes> |
| | <footnote id="F1"> Each 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 to RSUs granted on May 7, 2019. 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 RSUs vest and convert to shares in one installment on the earlier of (a) the date of ALV's 2020 annual stockholder meeting, or (b) the one-year anniversary of May 7, 2019. </footnote> |
| | </footnotes> |
| <remarks></remarks> |
| <ownerSignature> |
| | <signatureName> /s/ Brian Kelly, as attorney-in-fact </signatureName> |
| | <signatureDate> 2019-12-09 </signatureDate> |
| | </ownerSignature> |
| </ownershipDocument> |
