<?xml version="1.0" encoding="US-ASCII"?>
<!-- DFIN New ActiveDisclosure (SM) XBRL Linkbase Document - http://www.dfinsolutions.com/ -->
<!-- Creation Date :2023-04-21T06:51:42.3170+00:00 -->
<!-- Copyright (c) 2023 Donnelly Financial Solutions, Inc. All Rights Reserved. -->
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    <link:loc xlink:type="locator" xlink:href="apls-20230421.xsd#apls_VestingDateFairValueOfEquityAwardsGrantedAndVestedInTheCoveredYearMember" xlink:label="apls_VestingDateFairValueOfEquityAwardsGrantedAndVestedInTheCoveredYearMember"/>
    <link:loc xlink:type="locator" xlink:href="apls-20230421.xsd#apls_AdjustmentForGrantDateValuesInTheSummaryCompensationTableMember" xlink:label="apls_AdjustmentForGrantDateValuesInTheSummaryCompensationTableMember"/>
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    <link:loc xlink:type="locator" xlink:href="apls-20230421.xsd#apls_YearOverYearChangeInFairValueOfEquityAwardsGrantedInPriorYearsThatAreOutstandingAndUnvestedAsOfTheCoveredYearEndMember" xlink:label="apls_YearOverYearChangeInFairValueOfEquityAwardsGrantedInPriorYearsThatAreOutstandingAndUnvestedAsOfTheCoveredYearEndMember"/>
    <link:loc xlink:type="locator" xlink:href="apls-20230421.xsd#apls_ForfeituresDuringCurrentYeareQualToPriorYearEndFairValueMember" xlink:label="apls_ForfeituresDuringCurrentYeareQualToPriorYearEndFairValueMember"/>
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    <link:loc xlink:type="locator" xlink:href="apls-20230421.xsd#apls_FairValueAsOfPriorYearEndOfEquityAwardsGrantedInPriorYearsThatFailedToVestInTheCoveredYearMember" xlink:label="apls_FairValueAsOfPriorYearEndOfEquityAwardsGrantedInPriorYearsThatFailedToVestInTheCoveredYearMember"/>
    <link:loc xlink:type="locator" xlink:href="apls-20230421.xsd#apls_TotalAdjustmentsForEquityAwardsMember" xlink:label="apls_TotalAdjustmentsForEquityAwardsMember"/>
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    <link:loc xlink:type="locator" xlink:href="apls-20230421.xsd#apls_YearEndFairValueOfEquityAwardsGrantedInTheCoveredYearThatAreOutstandingAndUnvestedAsOfTheCoveredYearEndMember" xlink:label="apls_YearEndFairValueOfEquityAwardsGrantedInTheCoveredYearThatAreOutstandingAndUnvestedAsOfTheCoveredYearEndMember"/>
    <link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/dei/2022/dei-2022.xsd#dei_DocumentType" xlink:label="dei_DocumentType"/>
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    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="apls_SCTOptionAwardsColumnValueMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">SCT "Option Awards" Column Value</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="apls_SCTOptionAwardsColumnValueMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">S C T Option Awards Column Value [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="apls_SCTOptionAwardsColumnValueMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">S c t option awards column value.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="apls_FairValuesAtVestDateForAwardsGrantedAndVestedInCurrentYearMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Fair Values at Vest Date for Awards Granted and Vested in Current Year</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="apls_FairValuesAtVestDateForAwardsGrantedAndVestedInCurrentYearMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Values at Vest Date for Awards Granted and Vested in Current Year [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="apls_FairValuesAtVestDateForAwardsGrantedAndVestedInCurrentYearMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Fair values at vest date for awards granted and vested in current year.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_AmendmentFlag_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Amendment Flag</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="apls_YearEndFairValueOfUnvestedAwardsGrantedInTheCurrentYearMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Year-End Fair Value of Unvested Awards Granted in the Current Year</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="apls_YearEndFairValueOfUnvestedAwardsGrantedInTheCurrentYearMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Year-end Fair Value of Unvested Awards Granted in the Current Year [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="apls_YearEndFairValueOfUnvestedAwardsGrantedInTheCurrentYearMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Year-end fair value of unvested awards granted in the current year.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="apls_YearOverYearChangeInFairValueOfEquityAwardsGrantedInPriorYearsThatVestedInTheCoveredYearMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Year-Over-Year Change in Fair Value of Equity Awards Granted in Prior Years That Vested in the Covered Year</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="apls_YearOverYearChangeInFairValueOfEquityAwardsGrantedInPriorYearsThatVestedInTheCoveredYearMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">year-over-year change in fair value of equity awards granted in prior years that vested in the covered year [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="apls_YearOverYearChangeInFairValueOfEquityAwardsGrantedInPriorYearsThatVestedInTheCoveredYearMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">year-over-year change in fair value of equity awards granted in prior years that vested in the covered year.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="apls_VestingDateFairValueOfEquityAwardsGrantedAndVestedInTheCoveredYearMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Vesting Date Fair Value of Equity Awards Granted and Vested in the Covered Year</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="apls_VestingDateFairValueOfEquityAwardsGrantedAndVestedInTheCoveredYearMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">vesting date fair value of equity awards granted and vested in the covered year [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="apls_VestingDateFairValueOfEquityAwardsGrantedAndVestedInTheCoveredYearMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">vesting date fair value of equity awards granted and vested in the covered year.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="apls_AdjustmentForGrantDateValuesInTheSummaryCompensationTableMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Adjustment for Grant Date Values in the Summary Compensation Table</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="apls_AdjustmentForGrantDateValuesInTheSummaryCompensationTableMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Adjustment for Grant Date Values in the Summary Compensation Table [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="apls_AdjustmentForGrantDateValuesInTheSummaryCompensationTableMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Adjustment for grant date values in the summary compensation table.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="apls_DifferenceInFairValuesBetweenpriorYearEndFairValuesAndVestDateFairValuesForAwardsGrantedInPriorYearsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Difference in Fair Values Betweenprior Year-end Fair Values and Vest Date Fair Values for Awards Granted in Prior Years</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="apls_DifferenceInFairValuesBetweenpriorYearEndFairValuesAndVestDateFairValuesForAwardsGrantedInPriorYearsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Difference in Fair Values Betweenprior Year-end Fair Values and Vest Date Fair Values for Awards Granted in Prior Years [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="apls_DifferenceInFairValuesBetweenpriorYearEndFairValuesAndVestDateFairValuesForAwardsGrantedInPriorYearsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Difference in fair values betweenprior year-end fair values and vest date fair values for awards granted in prior years.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="apls_YearOverYearChangeInFairValueOfEquityAwardsGrantedInPriorYearsThatAreOutstandingAndUnvestedAsOfTheCoveredYearEndMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Year-Over-Year Change in Fair Value of Equity Awards Granted in Prior Years that are Outstanding and Unvested as of the Covered Year-End</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="apls_YearOverYearChangeInFairValueOfEquityAwardsGrantedInPriorYearsThatAreOutstandingAndUnvestedAsOfTheCoveredYearEndMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">year-over-year change in fair value of equity awards granted in prior years that are outstanding and unvested as of the covered year-end [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="apls_YearOverYearChangeInFairValueOfEquityAwardsGrantedInPriorYearsThatAreOutstandingAndUnvestedAsOfTheCoveredYearEndMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">year-over-year change in fair value of equity awards granted in prior years that are outstanding and unvested as of the covered year-end.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="apls_ForfeituresDuringCurrentYeareQualToPriorYearEndFairValueMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Forfeitures During Current Yeare Qual to Prior Year-end Fair Value</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="apls_ForfeituresDuringCurrentYeareQualToPriorYearEndFairValueMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Forfeitures During Current Yeare Qual to Prior Year-end Fair Value [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="apls_ForfeituresDuringCurrentYeareQualToPriorYearEndFairValueMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Forfeitures during current yeare qual to prior year-end fair value.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="apls_YearOverYearDifferenceOfYearEndFairValuesForUnvestedAwardsGrantedInPriorYearsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Year-Over-Year Difference of Year-End Fair Values for Unvested Awards Granted in Prior Years</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="apls_YearOverYearDifferenceOfYearEndFairValuesForUnvestedAwardsGrantedInPriorYearsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Year-over-year Difference of Year-end Fair Values for Unvested Awards Granted in Prior Years [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="apls_YearOverYearDifferenceOfYearEndFairValuesForUnvestedAwardsGrantedInPriorYearsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Year-over-year difference of year-end fair values for unvested awards granted in prior years.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="apls_FairValueAsOfPriorYearEndOfEquityAwardsGrantedInPriorYearsThatFailedToVestInTheCoveredYearMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Fair Value as of Prior-Year End of Equity Awards Granted in Prior Years that Failed to vest in the Covered Year</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="apls_FairValueAsOfPriorYearEndOfEquityAwardsGrantedInPriorYearsThatFailedToVestInTheCoveredYearMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">fair value as of prior-year end of equity awards granted in prior years that failed to vest in the covered year [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="apls_FairValueAsOfPriorYearEndOfEquityAwardsGrantedInPriorYearsThatFailedToVestInTheCoveredYearMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">fair value as of prior-year end of equity awards granted in prior years that failed to vest in the covered year.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="apls_TotalAdjustmentsForEquityAwardsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Total Adjustments for Equity Awards</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="apls_TotalAdjustmentsForEquityAwardsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Total Adjustments for Equity Awards [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="apls_TotalAdjustmentsForEquityAwardsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Total adjustments for equity awards.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityRegistrantName_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Entity Registrant Name</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="apls_YearEndFairValueOfEquityAwardsGrantedInTheCoveredYearThatAreOutstandingAndUnvestedAsOfTheCoveredYearEndMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Year-End Fair Value of Equity Awards Granted in the Covered Year that are Outstanding and Unvested as of the Covered Year-End</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="apls_YearEndFairValueOfEquityAwardsGrantedInTheCoveredYearThatAreOutstandingAndUnvestedAsOfTheCoveredYearEndMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">year-end fair value of equity awards granted in the covered year that are outstanding and unvested as of the covered year-end [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="apls_YearEndFairValueOfEquityAwardsGrantedInTheCoveredYearThatAreOutstandingAndUnvestedAsOfTheCoveredYearEndMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">year-end fair value of equity awards granted in the covered year that are outstanding and unvested as of the covered year-end.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_DocumentType_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Document Type</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="apls_ExcessFairValueForEquityAwardModificationsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Excess Fair Value for Equity Award Modifications</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="apls_ExcessFairValueForEquityAwardModificationsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Excess Fair Value for Equity Award Modifications [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="apls_ExcessFairValueForEquityAwardModificationsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Excess fair value for equity award modifications.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="apls_SCTStockAwardsColumnValueMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">SCT "Stock Awards" Column Value</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="apls_SCTStockAwardsColumnValueMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">S C T Stock Awards Column Value [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="apls_SCTStockAwardsColumnValueMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">S C T stock awards column value.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="apls_NonPeoName_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Non Peo Name</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="apls_NonPeoName_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Non peo name.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityCentralIndexKey_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Entity Central Index Key</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_CoverAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cover [Abstract]</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="apls_SCTOptionAwardsColumnValueMember" xlink:to="apls_SCTOptionAwardsColumnValueMember_lbl"/>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="apls_FairValuesAtVestDateForAwardsGrantedAndVestedInCurrentYearMember" xlink:to="apls_FairValuesAtVestDateForAwardsGrantedAndVestedInCurrentYearMember_lbl"/>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dei_AmendmentFlag" xlink:to="dei_AmendmentFlag_lbl"/>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="apls_YearEndFairValueOfUnvestedAwardsGrantedInTheCurrentYearMember" xlink:to="apls_YearEndFairValueOfUnvestedAwardsGrantedInTheCurrentYearMember_lbl"/>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="apls_YearOverYearChangeInFairValueOfEquityAwardsGrantedInPriorYearsThatVestedInTheCoveredYearMember" xlink:to="apls_YearOverYearChangeInFairValueOfEquityAwardsGrantedInPriorYearsThatVestedInTheCoveredYearMember_lbl"/>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="apls_VestingDateFairValueOfEquityAwardsGrantedAndVestedInTheCoveredYearMember" xlink:to="apls_VestingDateFairValueOfEquityAwardsGrantedAndVestedInTheCoveredYearMember_lbl"/>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="apls_AdjustmentForGrantDateValuesInTheSummaryCompensationTableMember" xlink:to="apls_AdjustmentForGrantDateValuesInTheSummaryCompensationTableMember_lbl"/>
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    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="apls_YearOverYearChangeInFairValueOfEquityAwardsGrantedInPriorYearsThatAreOutstandingAndUnvestedAsOfTheCoveredYearEndMember" xlink:to="apls_YearOverYearChangeInFairValueOfEquityAwardsGrantedInPriorYearsThatAreOutstandingAndUnvestedAsOfTheCoveredYearEndMember_lbl"/>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="apls_ForfeituresDuringCurrentYeareQualToPriorYearEndFairValueMember" xlink:to="apls_ForfeituresDuringCurrentYeareQualToPriorYearEndFairValueMember_lbl"/>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="apls_YearOverYearDifferenceOfYearEndFairValuesForUnvestedAwardsGrantedInPriorYearsMember" xlink:to="apls_YearOverYearDifferenceOfYearEndFairValuesForUnvestedAwardsGrantedInPriorYearsMember_lbl"/>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="apls_FairValueAsOfPriorYearEndOfEquityAwardsGrantedInPriorYearsThatFailedToVestInTheCoveredYearMember" xlink:to="apls_FairValueAsOfPriorYearEndOfEquityAwardsGrantedInPriorYearsThatFailedToVestInTheCoveredYearMember_lbl"/>
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