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

    <schemaVersion>X0407</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2023-06-07</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0001860871</issuerCik>
        <issuerName>Semper Paratus Acquisition Corp</issuerName>
        <issuerTradingSymbol>LGST</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001368298</rptOwnerCik>
            <rptOwnerName>AJJARAPU SURENDRA K</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>767 THIRD AVENUE</rptOwnerStreet1>
            <rptOwnerStreet2>38TH FLOOR</rptOwnerStreet2>
            <rptOwnerCity>NEW YORK</rptOwnerCity>
            <rptOwnerState>NY</rptOwnerState>
            <rptOwnerZipCode>10017</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>1</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle>CEO and Chairman</officerTitle>
        </reportingOwnerRelationship>
    </reportingOwner>

    <aff10b5One>0</aff10b5One>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Class A ordinary shares, par value $0.0001 per share</value>
                <footnoteId id="F1"/>
            </securityTitle>
            <transactionDate>
                <value>2023-06-07</value>
            </transactionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>A</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>1000000</value>
                </transactionShares>
                <transactionPricePerShare>
                    <footnoteId id="F2"/>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>1000000</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>By SSVK Associates, LLC</value>
                    <footnoteId id="F3"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <derivativeTable>
        <derivativeTransaction>
            <securityTitle>
                <value>Class B ordinary shares, par value $0.0001 per share</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <footnoteId id="F4"/>
            </conversionOrExercisePrice>
            <transactionDate>
                <value>2023-06-07</value>
            </transactionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>A</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>7988889</value>
                    <footnoteId id="F3"/>
                </transactionShares>
                <transactionPricePerShare>
                    <footnoteId id="F2"/>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <exerciseDate>
                <footnoteId id="F4"/>
            </exerciseDate>
            <expirationDate>
                <footnoteId id="F4"/>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Class A ordinary shares, par value $0.0001 per share</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>7988889</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>7988889</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>By SSVK Associates, LLC</value>
                    <footnoteId id="F3"/>
                </natureOfOwnership>
            </ownershipNature>
        </derivativeTransaction>
        <derivativeTransaction>
            <securityTitle>
                <value>Warrants</value>
                <footnoteId id="F5"/>
            </securityTitle>
            <conversionOrExercisePrice>
                <value>11.5</value>
            </conversionOrExercisePrice>
            <transactionDate>
                <value>2023-06-07</value>
            </transactionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>A</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>500000</value>
                    <footnoteId id="F2"/>
                </transactionShares>
                <transactionPricePerShare>
                    <footnoteId id="F2"/>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <exerciseDate>
                <footnoteId id="F6"/>
            </exerciseDate>
            <expirationDate>
                <footnoteId id="F7"/>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Class A ordinary shares, par value $0.0001 per share</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>500000</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>500000</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>By SSVK Associates, LLC</value>
                    <footnoteId id="F3"/>
                </natureOfOwnership>
            </ownershipNature>
        </derivativeTransaction>
    </derivativeTable>

    <footnotes>
        <footnote id="F1">The Class A Ordinary shares are underlying the units (the &quot;Private Placement Units&quot;). As described in the Issuer's registration statement on Form S-1 (No. 333-260113) under the heading &quot;Description of Securities - Units&quot; each Private Placement Unit consists of one share of the Issuer's Class A ordinary shares and one-half of one redeemable warrant.</footnote>
        <footnote id="F2">SSVK Associates, LLC the sponsor of the Issuer (the &quot;Sponsor&quot;), purchased all its interests in the Issuer, including certain other rights and obligations in accordance with a purchase agreement, dated as of May 4, 2023, entered into by and among, Reporting Person, the Issuer and other certain securityholders for an aggregate purchase price of $1 (one dollar) due on the date on which a business combination is completed.</footnote>
        <footnote id="F3">The securities are held directly by the Sponsor. Surendra Ajjarapu, the Issuer's Chairman and Chief Executive Officer is the manager of the Sponsor. Mr. Ajjarapu may be deemed to beneficially own the securities held by the Sponsor by virtue of his control over the Sponsor. Mr. Ajjarapu disclaims beneficial ownership of the securities held by the Sponsor, except to the extent of his respective pecuniary interest.</footnote>
        <footnote id="F4">As described in the Issuer's registration statement on Form S-1 (No. 333-260113) under the heading &quot;Description of Securities-Founder Shares&quot;, the shares of Class B ordinary shares will automatically convert into shares of Class A ordinary shares at the time of the Issuer's initial business combination on a one-for-one basis subject to certain adjustments and have no expiration date.</footnote>
        <footnote id="F5">The Warrants are underlying the Private Placement Units. As described in the Issuer's registration statement on Form S-1 (No. 333-260113) under the heading &quot;Description of Securities - Units&quot; each Private Placement Unit consists of one share of the Issuer's Class A ordinary shares and one-half of one redeemable warrant.</footnote>
        <footnote id="F6">The Warrants will become exercisable upon the later of 12 months from the closing of the Issuer's initial public offering and 30 days after the completion of the Issuer's initial business combination.</footnote>
        <footnote id="F7">The Warrants will expire five years after the completion of the Issuer's business combination or earlier upon redemption or liquidation.</footnote>
    </footnotes>

    <ownerSignature>
        <signatureName>/s/ Surendra Ajjarapu, by Nelson Mullins Riley &amp; Scarborough LLP with Power of Attorney</signatureName>
        <signatureDate>2023-06-12</signatureDate>
    </ownerSignature>
</ownershipDocument>
