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

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2022-09-21</periodOfReport>

    <issuer>
        <issuerCik>0001743907</issuerCik>
        <issuerName>Sun Country Airlines Holdings, Inc.</issuerName>
        <issuerTradingSymbol>SNCY</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001850688</rptOwnerCik>
            <rptOwnerName>Gyurci John</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O SUN COUNTRY HOLDINGS, INC.</rptOwnerStreet1>
            <rptOwnerStreet2>2005 CARGO RD.</rptOwnerStreet2>
            <rptOwnerCity>MINNEAPOLIS</rptOwnerCity>
            <rptOwnerState>MN</rptOwnerState>
            <rptOwnerZipCode>55450</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isOfficer>1</isOfficer>
            <officerTitle>Chief Acct. Off. &amp; VP, Finance</officerTitle>
        </reportingOwnerRelationship>
    </reportingOwner>

    <derivativeTable>
        <derivativeTransaction>
            <securityTitle>
                <value>Employee Stock Option (Right to Buy)</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <value>5.30</value>
            </conversionOrExercisePrice>
            <transactionDate>
                <value>2022-09-21</value>
            </transactionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>A</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness></transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>7436</value>
                    <footnoteId id="F1"/>
                </transactionShares>
                <transactionPricePerShare>
                    <value>5.30</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <exerciseDate>
                <footnoteId id="F2"/>
            </exerciseDate>
            <expirationDate>
                <value>2028-11-21</value>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Common Stock</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>7436</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>82643</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </derivativeTransaction>
    </derivativeTable>

    <footnotes>
        <footnote id="F1">On November 21, 2018, the reporting person was granted an option to purchase 99,135 shares of common stock. The option vests in six installments based on Sun Country's satisfaction of certain performance criteria. The performance criteria for the second installment were met resulting in partial vesting of the option as to 7,436 shares on September 19, 2022.</footnote>
        <footnote id="F2">Vest in four annual installments, subject to continued service, beginning April 11, 2019.</footnote>
    </footnotes>

    <ownerSignature>
        <signatureName>/s/ Rose Neale, as attorney-in-fact for John Gyurci</signatureName>
        <signatureDate>2022-09-23</signatureDate>
    </ownerSignature>
</ownershipDocument>
