<?xml version="1.0" encoding="UTF-8"?>

<!--XBRL Document Created with Wdesk from Workiva-->
<!--Copyright 2021 Workiva-->
<!--r:b02e9d9a-ec9c-45ee-a525-da604dd2d909,g:fa23531d-7a97-4868-bf4b-01c4073d2612-->
<link:linkbase xmlns:link="http://www.xbrl.org/2003/linkbase" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.xbrl.org/2003/linkbase http://www.xbrl.org/2003/xbrl-linkbase-2003-12-31.xsd">
  <link:roleRef roleURI="http://www.anaptysbio.com/role/CoverPage" xlink:type="simple" xlink:href="anab-20210118.xsd#CoverPage"/>
  <link:presentationLink xlink:role="http://www.anaptysbio.com/role/CoverPage" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_dei_CoverAbstract_6d833add-8117-4f52-b67b-d297d50b4fce" xlink:href="https://xbrl.sec.gov/dei/2019/dei-2019-01-31.xsd#dei_CoverAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentType_ffbfc79a-f9fd-4c5b-bfb6-b22942fab962" xlink:href="https://xbrl.sec.gov/dei/2019/dei-2019-01-31.xsd#dei_DocumentType"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_6d833add-8117-4f52-b67b-d297d50b4fce" xlink:to="loc_dei_DocumentType_ffbfc79a-f9fd-4c5b-bfb6-b22942fab962" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentPeriodEndDate_3563e482-327d-43da-a8b4-2b350ac15642" xlink:href="https://xbrl.sec.gov/dei/2019/dei-2019-01-31.xsd#dei_DocumentPeriodEndDate"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_6d833add-8117-4f52-b67b-d297d50b4fce" xlink:to="loc_dei_DocumentPeriodEndDate_3563e482-327d-43da-a8b4-2b350ac15642" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityRegistrantName_a106ebda-964e-4f8c-bbe7-60f893c77385" xlink:href="https://xbrl.sec.gov/dei/2019/dei-2019-01-31.xsd#dei_EntityRegistrantName"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_6d833add-8117-4f52-b67b-d297d50b4fce" xlink:to="loc_dei_EntityRegistrantName_a106ebda-964e-4f8c-bbe7-60f893c77385" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityIncorporationStateCountryCode_c5268609-2b48-4a4d-9fcb-42fed1d00fc6" xlink:href="https://xbrl.sec.gov/dei/2019/dei-2019-01-31.xsd#dei_EntityIncorporationStateCountryCode"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_6d833add-8117-4f52-b67b-d297d50b4fce" xlink:to="loc_dei_EntityIncorporationStateCountryCode_c5268609-2b48-4a4d-9fcb-42fed1d00fc6" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityFileNumber_7e04c4e4-0137-4b64-9685-c0d528ddb9c1" xlink:href="https://xbrl.sec.gov/dei/2019/dei-2019-01-31.xsd#dei_EntityFileNumber"/>
    <link:presentationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_6d833add-8117-4f52-b67b-d297d50b4fce" xlink:to="loc_dei_EntityFileNumber_7e04c4e4-0137-4b64-9685-c0d528ddb9c1" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityTaxIdentificationNumber_fdf1f07f-cc2c-4fe7-be8c-2d7a5dcf85d9" xlink:href="https://xbrl.sec.gov/dei/2019/dei-2019-01-31.xsd#dei_EntityTaxIdentificationNumber"/>
    <link:presentationArc order="6" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_6d833add-8117-4f52-b67b-d297d50b4fce" xlink:to="loc_dei_EntityTaxIdentificationNumber_fdf1f07f-cc2c-4fe7-be8c-2d7a5dcf85d9" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressAddressLine1_52a6a155-a3f4-44be-b99c-4cfb63c3e1c8" xlink:href="https://xbrl.sec.gov/dei/2019/dei-2019-01-31.xsd#dei_EntityAddressAddressLine1"/>
    <link:presentationArc order="7" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_6d833add-8117-4f52-b67b-d297d50b4fce" xlink:to="loc_dei_EntityAddressAddressLine1_52a6a155-a3f4-44be-b99c-4cfb63c3e1c8" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressAddressLine2_048d2015-a584-49f5-ab0f-51906bf85b42" xlink:href="https://xbrl.sec.gov/dei/2019/dei-2019-01-31.xsd#dei_EntityAddressAddressLine2"/>
    <link:presentationArc order="8" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_6d833add-8117-4f52-b67b-d297d50b4fce" xlink:to="loc_dei_EntityAddressAddressLine2_048d2015-a584-49f5-ab0f-51906bf85b42" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressCityOrTown_5c80bea1-86a0-4e47-b01d-44a25537319d" xlink:href="https://xbrl.sec.gov/dei/2019/dei-2019-01-31.xsd#dei_EntityAddressCityOrTown"/>
    <link:presentationArc order="9" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_6d833add-8117-4f52-b67b-d297d50b4fce" xlink:to="loc_dei_EntityAddressCityOrTown_5c80bea1-86a0-4e47-b01d-44a25537319d" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressStateOrProvince_c7ca1a99-4f68-4c7d-8dbd-083dfeefb90f" xlink:href="https://xbrl.sec.gov/dei/2019/dei-2019-01-31.xsd#dei_EntityAddressStateOrProvince"/>
    <link:presentationArc order="10" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_6d833add-8117-4f52-b67b-d297d50b4fce" xlink:to="loc_dei_EntityAddressStateOrProvince_c7ca1a99-4f68-4c7d-8dbd-083dfeefb90f" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressPostalZipCode_0dbca999-4080-42d8-93b6-cd36e2fc944a" xlink:href="https://xbrl.sec.gov/dei/2019/dei-2019-01-31.xsd#dei_EntityAddressPostalZipCode"/>
    <link:presentationArc order="11" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_6d833add-8117-4f52-b67b-d297d50b4fce" xlink:to="loc_dei_EntityAddressPostalZipCode_0dbca999-4080-42d8-93b6-cd36e2fc944a" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_CityAreaCode_3af2fbd3-ab8a-4b77-9825-0f8f96ca7608" xlink:href="https://xbrl.sec.gov/dei/2019/dei-2019-01-31.xsd#dei_CityAreaCode"/>
    <link:presentationArc order="12" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_6d833add-8117-4f52-b67b-d297d50b4fce" xlink:to="loc_dei_CityAreaCode_3af2fbd3-ab8a-4b77-9825-0f8f96ca7608" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_LocalPhoneNumber_a11a13e3-ba29-4951-8c50-0a8b37988fe5" xlink:href="https://xbrl.sec.gov/dei/2019/dei-2019-01-31.xsd#dei_LocalPhoneNumber"/>
    <link:presentationArc order="13" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_6d833add-8117-4f52-b67b-d297d50b4fce" xlink:to="loc_dei_LocalPhoneNumber_a11a13e3-ba29-4951-8c50-0a8b37988fe5" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_WrittenCommunications_cd5b0d10-81f5-4565-afed-5279b96a6de0" xlink:href="https://xbrl.sec.gov/dei/2019/dei-2019-01-31.xsd#dei_WrittenCommunications"/>
    <link:presentationArc order="14" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_6d833add-8117-4f52-b67b-d297d50b4fce" xlink:to="loc_dei_WrittenCommunications_cd5b0d10-81f5-4565-afed-5279b96a6de0" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_SolicitingMaterial_af8ffa88-280d-4ef0-848a-dcc440ad4433" xlink:href="https://xbrl.sec.gov/dei/2019/dei-2019-01-31.xsd#dei_SolicitingMaterial"/>
    <link:presentationArc order="15" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_6d833add-8117-4f52-b67b-d297d50b4fce" xlink:to="loc_dei_SolicitingMaterial_af8ffa88-280d-4ef0-848a-dcc440ad4433" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_PreCommencementTenderOffer_5470f554-8110-41f4-99ed-f5723a3ea2ea" xlink:href="https://xbrl.sec.gov/dei/2019/dei-2019-01-31.xsd#dei_PreCommencementTenderOffer"/>
    <link:presentationArc order="16" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_6d833add-8117-4f52-b67b-d297d50b4fce" xlink:to="loc_dei_PreCommencementTenderOffer_5470f554-8110-41f4-99ed-f5723a3ea2ea" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_PreCommencementIssuerTenderOffer_744d4f61-2db2-4706-980d-d730b96e7dc2" xlink:href="https://xbrl.sec.gov/dei/2019/dei-2019-01-31.xsd#dei_PreCommencementIssuerTenderOffer"/>
    <link:presentationArc order="17" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_6d833add-8117-4f52-b67b-d297d50b4fce" xlink:to="loc_dei_PreCommencementIssuerTenderOffer_744d4f61-2db2-4706-980d-d730b96e7dc2" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_Security12bTitle_ccf0a86c-6c00-44c3-9869-fff3601639e7" xlink:href="https://xbrl.sec.gov/dei/2019/dei-2019-01-31.xsd#dei_Security12bTitle"/>
    <link:presentationArc order="18" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_6d833add-8117-4f52-b67b-d297d50b4fce" xlink:to="loc_dei_Security12bTitle_ccf0a86c-6c00-44c3-9869-fff3601639e7" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_TradingSymbol_020246ca-b015-4c25-ab73-b9d2887c8a97" xlink:href="https://xbrl.sec.gov/dei/2019/dei-2019-01-31.xsd#dei_TradingSymbol"/>
    <link:presentationArc order="19" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_6d833add-8117-4f52-b67b-d297d50b4fce" xlink:to="loc_dei_TradingSymbol_020246ca-b015-4c25-ab73-b9d2887c8a97" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_SecurityExchangeName_df8e001a-58fe-4b5f-9530-75e48bf31628" xlink:href="https://xbrl.sec.gov/dei/2019/dei-2019-01-31.xsd#dei_SecurityExchangeName"/>
    <link:presentationArc order="20" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_6d833add-8117-4f52-b67b-d297d50b4fce" xlink:to="loc_dei_SecurityExchangeName_df8e001a-58fe-4b5f-9530-75e48bf31628" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityEmergingGrowthCompany_983be2e3-85ca-43e3-88ad-677ce8c72030" xlink:href="https://xbrl.sec.gov/dei/2019/dei-2019-01-31.xsd#dei_EntityEmergingGrowthCompany"/>
    <link:presentationArc order="21" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_6d833add-8117-4f52-b67b-d297d50b4fce" xlink:to="loc_dei_EntityEmergingGrowthCompany_983be2e3-85ca-43e3-88ad-677ce8c72030" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityCentralIndexKey_58c90151-7cde-43d1-b67c-506f56c14649" xlink:href="https://xbrl.sec.gov/dei/2019/dei-2019-01-31.xsd#dei_EntityCentralIndexKey"/>
    <link:presentationArc order="22" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_6d833add-8117-4f52-b67b-d297d50b4fce" xlink:to="loc_dei_EntityCentralIndexKey_58c90151-7cde-43d1-b67c-506f56c14649" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_AmendmentFlag_3bf82b05-0d99-4af5-974f-88d674b24d22" xlink:href="https://xbrl.sec.gov/dei/2019/dei-2019-01-31.xsd#dei_AmendmentFlag"/>
    <link:presentationArc order="23" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_6d833add-8117-4f52-b67b-d297d50b4fce" xlink:to="loc_dei_AmendmentFlag_3bf82b05-0d99-4af5-974f-88d674b24d22" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
</link:linkbase>
