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

<!--XBRL Document Created with the Workiva Platform-->
<!--Copyright 2024 Workiva-->
<!--r:19e743bb-cc41-478c-840e-6cfd84942bd5,g:93d00e65-0828-4f81-a57f-02a2c67d0cd5-->
<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://soterahealth.com/role/CoverPage" xlink:type="simple" xlink:href="shc-20240731.xsd#CoverPage"/>
  <link:presentationLink xlink:role="http://soterahealth.com/role/CoverPage" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_dei_CoverAbstract_8df3b472-80d2-42d9-919f-638a202d4c35" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_CoverAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentType_4c9b487d-0c47-416f-892c-8bb5e38a9a0b" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_DocumentType"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_8df3b472-80d2-42d9-919f-638a202d4c35" xlink:to="loc_dei_DocumentType_4c9b487d-0c47-416f-892c-8bb5e38a9a0b" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentPeriodEndDate_40d2b943-b485-4acf-bf4f-acebc9dab956" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_DocumentPeriodEndDate"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_8df3b472-80d2-42d9-919f-638a202d4c35" xlink:to="loc_dei_DocumentPeriodEndDate_40d2b943-b485-4acf-bf4f-acebc9dab956" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityRegistrantName_9f41d9b2-d8e8-4824-81ea-7bc0cf84a5b0" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_EntityRegistrantName"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_8df3b472-80d2-42d9-919f-638a202d4c35" xlink:to="loc_dei_EntityRegistrantName_9f41d9b2-d8e8-4824-81ea-7bc0cf84a5b0" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityIncorporationStateCountryCode_6e147e98-4ad9-4e8f-8e9e-2d70753d9874" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_EntityIncorporationStateCountryCode"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_8df3b472-80d2-42d9-919f-638a202d4c35" xlink:to="loc_dei_EntityIncorporationStateCountryCode_6e147e98-4ad9-4e8f-8e9e-2d70753d9874" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityFileNumber_12aafcc1-7613-45e2-a3dc-017da1a847ff" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_EntityFileNumber"/>
    <link:presentationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_8df3b472-80d2-42d9-919f-638a202d4c35" xlink:to="loc_dei_EntityFileNumber_12aafcc1-7613-45e2-a3dc-017da1a847ff" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityTaxIdentificationNumber_73fba93a-8594-4ea4-9748-7dcfb1b6700d" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_EntityTaxIdentificationNumber"/>
    <link:presentationArc order="6" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_8df3b472-80d2-42d9-919f-638a202d4c35" xlink:to="loc_dei_EntityTaxIdentificationNumber_73fba93a-8594-4ea4-9748-7dcfb1b6700d" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressAddressLine1_6e6b459f-093e-492e-bc4d-e2d22f7c74ed" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_EntityAddressAddressLine1"/>
    <link:presentationArc order="7" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_8df3b472-80d2-42d9-919f-638a202d4c35" xlink:to="loc_dei_EntityAddressAddressLine1_6e6b459f-093e-492e-bc4d-e2d22f7c74ed" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressAddressLine2_5ce00404-46d0-4b67-bdfc-0bbde81cc6ca" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_EntityAddressAddressLine2"/>
    <link:presentationArc order="8" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_8df3b472-80d2-42d9-919f-638a202d4c35" xlink:to="loc_dei_EntityAddressAddressLine2_5ce00404-46d0-4b67-bdfc-0bbde81cc6ca" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressCityOrTown_06baaeaf-7da4-44da-bf3a-941dccdae878" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_EntityAddressCityOrTown"/>
    <link:presentationArc order="9" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_8df3b472-80d2-42d9-919f-638a202d4c35" xlink:to="loc_dei_EntityAddressCityOrTown_06baaeaf-7da4-44da-bf3a-941dccdae878" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressStateOrProvince_2fc91356-03d2-459e-b179-736568743d28" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_EntityAddressStateOrProvince"/>
    <link:presentationArc order="10" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_8df3b472-80d2-42d9-919f-638a202d4c35" xlink:to="loc_dei_EntityAddressStateOrProvince_2fc91356-03d2-459e-b179-736568743d28" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressPostalZipCode_5125bdc6-8e95-45ea-b593-416e68633e69" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_EntityAddressPostalZipCode"/>
    <link:presentationArc order="11" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_8df3b472-80d2-42d9-919f-638a202d4c35" xlink:to="loc_dei_EntityAddressPostalZipCode_5125bdc6-8e95-45ea-b593-416e68633e69" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_CityAreaCode_ddcf40b4-75fd-43c3-973d-e7d5dc32dd01" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_CityAreaCode"/>
    <link:presentationArc order="12" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_8df3b472-80d2-42d9-919f-638a202d4c35" xlink:to="loc_dei_CityAreaCode_ddcf40b4-75fd-43c3-973d-e7d5dc32dd01" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_LocalPhoneNumber_1a6f23fa-72c7-44cb-af21-bbcc78cd364f" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_LocalPhoneNumber"/>
    <link:presentationArc order="13" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_8df3b472-80d2-42d9-919f-638a202d4c35" xlink:to="loc_dei_LocalPhoneNumber_1a6f23fa-72c7-44cb-af21-bbcc78cd364f" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_WrittenCommunications_e501bad7-f194-4277-9900-7633884d114f" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_WrittenCommunications"/>
    <link:presentationArc order="14" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_8df3b472-80d2-42d9-919f-638a202d4c35" xlink:to="loc_dei_WrittenCommunications_e501bad7-f194-4277-9900-7633884d114f" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_SolicitingMaterial_a162622d-dcf7-4e3e-a232-aefd895def4f" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_SolicitingMaterial"/>
    <link:presentationArc order="15" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_8df3b472-80d2-42d9-919f-638a202d4c35" xlink:to="loc_dei_SolicitingMaterial_a162622d-dcf7-4e3e-a232-aefd895def4f" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_PreCommencementTenderOffer_88ce0118-799e-4843-a3f9-a091b55b303e" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_PreCommencementTenderOffer"/>
    <link:presentationArc order="16" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_8df3b472-80d2-42d9-919f-638a202d4c35" xlink:to="loc_dei_PreCommencementTenderOffer_88ce0118-799e-4843-a3f9-a091b55b303e" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_PreCommencementIssuerTenderOffer_052e0f77-8c94-4a3e-8b14-c0cda4681583" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_PreCommencementIssuerTenderOffer"/>
    <link:presentationArc order="17" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_8df3b472-80d2-42d9-919f-638a202d4c35" xlink:to="loc_dei_PreCommencementIssuerTenderOffer_052e0f77-8c94-4a3e-8b14-c0cda4681583" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_Security12bTitle_f07db7c5-a254-4709-879c-972f991f915d" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_Security12bTitle"/>
    <link:presentationArc order="18" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_8df3b472-80d2-42d9-919f-638a202d4c35" xlink:to="loc_dei_Security12bTitle_f07db7c5-a254-4709-879c-972f991f915d" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_TradingSymbol_e54e25f3-857e-4e82-91e1-ee137f067de8" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_TradingSymbol"/>
    <link:presentationArc order="19" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_8df3b472-80d2-42d9-919f-638a202d4c35" xlink:to="loc_dei_TradingSymbol_e54e25f3-857e-4e82-91e1-ee137f067de8" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_SecurityExchangeName_f10fde3a-72c1-41f9-aaa8-42ff762ec4db" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_SecurityExchangeName"/>
    <link:presentationArc order="20" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_8df3b472-80d2-42d9-919f-638a202d4c35" xlink:to="loc_dei_SecurityExchangeName_f10fde3a-72c1-41f9-aaa8-42ff762ec4db" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityEmergingGrowthCompany_2557178e-1a62-4ef2-9a18-6c1e73b59a60" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_EntityEmergingGrowthCompany"/>
    <link:presentationArc order="21" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_8df3b472-80d2-42d9-919f-638a202d4c35" xlink:to="loc_dei_EntityEmergingGrowthCompany_2557178e-1a62-4ef2-9a18-6c1e73b59a60" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityCentralIndexKey_b2ea56ff-2638-4b1b-b754-791804e59584" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_EntityCentralIndexKey"/>
    <link:presentationArc order="22" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_8df3b472-80d2-42d9-919f-638a202d4c35" xlink:to="loc_dei_EntityCentralIndexKey_b2ea56ff-2638-4b1b-b754-791804e59584" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_AmendmentFlag_48e2f966-4b68-40fb-99b7-36a964e955d3" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_AmendmentFlag"/>
    <link:presentationArc order="23" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_8df3b472-80d2-42d9-919f-638a202d4c35" xlink:to="loc_dei_AmendmentFlag_48e2f966-4b68-40fb-99b7-36a964e955d3" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
</link:linkbase>
