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

<!--XBRL Document Created with the Workiva Platform-->
<!--Copyright 2024 Workiva-->
<!--r:24da8471-7e92-465b-a868-018341998109,g:c6ad97d9-f583-4638-9942-e71f8f5653d9-->
<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-20240227.xsd#CoverPage"/>
  <link:presentationLink xlink:role="http://soterahealth.com/role/CoverPage" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_dei_CoverAbstract_ba56c5a5-b4d2-4b38-ae95-5b41790d5f32" xlink:href="https://xbrl.sec.gov/dei/2022/dei-2022.xsd#dei_CoverAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentType_5f662f0c-201b-4e1c-a995-8a4ac0e86974" xlink:href="https://xbrl.sec.gov/dei/2022/dei-2022.xsd#dei_DocumentType"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_ba56c5a5-b4d2-4b38-ae95-5b41790d5f32" xlink:to="loc_dei_DocumentType_5f662f0c-201b-4e1c-a995-8a4ac0e86974" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentPeriodEndDate_eeb8f007-3ba6-43f6-9e87-fb05b768912c" xlink:href="https://xbrl.sec.gov/dei/2022/dei-2022.xsd#dei_DocumentPeriodEndDate"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_ba56c5a5-b4d2-4b38-ae95-5b41790d5f32" xlink:to="loc_dei_DocumentPeriodEndDate_eeb8f007-3ba6-43f6-9e87-fb05b768912c" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityRegistrantName_5a42b9f7-5d73-464f-837e-36133499f144" xlink:href="https://xbrl.sec.gov/dei/2022/dei-2022.xsd#dei_EntityRegistrantName"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_ba56c5a5-b4d2-4b38-ae95-5b41790d5f32" xlink:to="loc_dei_EntityRegistrantName_5a42b9f7-5d73-464f-837e-36133499f144" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityIncorporationStateCountryCode_cabb380e-2b07-42a9-9354-f0b0c5f85e44" xlink:href="https://xbrl.sec.gov/dei/2022/dei-2022.xsd#dei_EntityIncorporationStateCountryCode"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_ba56c5a5-b4d2-4b38-ae95-5b41790d5f32" xlink:to="loc_dei_EntityIncorporationStateCountryCode_cabb380e-2b07-42a9-9354-f0b0c5f85e44" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityFileNumber_293086b6-8302-41aa-bd28-6f80093a6643" xlink:href="https://xbrl.sec.gov/dei/2022/dei-2022.xsd#dei_EntityFileNumber"/>
    <link:presentationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_ba56c5a5-b4d2-4b38-ae95-5b41790d5f32" xlink:to="loc_dei_EntityFileNumber_293086b6-8302-41aa-bd28-6f80093a6643" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityTaxIdentificationNumber_265fa0c5-b00f-413b-9b9c-4c6800b7d322" xlink:href="https://xbrl.sec.gov/dei/2022/dei-2022.xsd#dei_EntityTaxIdentificationNumber"/>
    <link:presentationArc order="6" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_ba56c5a5-b4d2-4b38-ae95-5b41790d5f32" xlink:to="loc_dei_EntityTaxIdentificationNumber_265fa0c5-b00f-413b-9b9c-4c6800b7d322" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressAddressLine1_f971dff2-4e2b-44d0-ba62-28c8763637ba" xlink:href="https://xbrl.sec.gov/dei/2022/dei-2022.xsd#dei_EntityAddressAddressLine1"/>
    <link:presentationArc order="7" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_ba56c5a5-b4d2-4b38-ae95-5b41790d5f32" xlink:to="loc_dei_EntityAddressAddressLine1_f971dff2-4e2b-44d0-ba62-28c8763637ba" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressAddressLine2_a87ade7e-d6d0-4c00-9c2c-bd6b471ce211" xlink:href="https://xbrl.sec.gov/dei/2022/dei-2022.xsd#dei_EntityAddressAddressLine2"/>
    <link:presentationArc order="8" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_ba56c5a5-b4d2-4b38-ae95-5b41790d5f32" xlink:to="loc_dei_EntityAddressAddressLine2_a87ade7e-d6d0-4c00-9c2c-bd6b471ce211" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressCityOrTown_408a3c9e-9301-451a-af97-6ab8c61a5374" xlink:href="https://xbrl.sec.gov/dei/2022/dei-2022.xsd#dei_EntityAddressCityOrTown"/>
    <link:presentationArc order="9" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_ba56c5a5-b4d2-4b38-ae95-5b41790d5f32" xlink:to="loc_dei_EntityAddressCityOrTown_408a3c9e-9301-451a-af97-6ab8c61a5374" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressStateOrProvince_992d773d-fcbb-4bd9-be2d-e42835f6024e" xlink:href="https://xbrl.sec.gov/dei/2022/dei-2022.xsd#dei_EntityAddressStateOrProvince"/>
    <link:presentationArc order="10" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_ba56c5a5-b4d2-4b38-ae95-5b41790d5f32" xlink:to="loc_dei_EntityAddressStateOrProvince_992d773d-fcbb-4bd9-be2d-e42835f6024e" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressPostalZipCode_f6b246ea-1067-4f25-ad79-b7e5945b9bf1" xlink:href="https://xbrl.sec.gov/dei/2022/dei-2022.xsd#dei_EntityAddressPostalZipCode"/>
    <link:presentationArc order="11" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_ba56c5a5-b4d2-4b38-ae95-5b41790d5f32" xlink:to="loc_dei_EntityAddressPostalZipCode_f6b246ea-1067-4f25-ad79-b7e5945b9bf1" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_CityAreaCode_e1353df1-5027-42d2-aa15-c2b4a0ad1c83" xlink:href="https://xbrl.sec.gov/dei/2022/dei-2022.xsd#dei_CityAreaCode"/>
    <link:presentationArc order="12" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_ba56c5a5-b4d2-4b38-ae95-5b41790d5f32" xlink:to="loc_dei_CityAreaCode_e1353df1-5027-42d2-aa15-c2b4a0ad1c83" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_LocalPhoneNumber_ca29a5da-0b6e-433e-b658-64a18b6a76ad" xlink:href="https://xbrl.sec.gov/dei/2022/dei-2022.xsd#dei_LocalPhoneNumber"/>
    <link:presentationArc order="13" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_ba56c5a5-b4d2-4b38-ae95-5b41790d5f32" xlink:to="loc_dei_LocalPhoneNumber_ca29a5da-0b6e-433e-b658-64a18b6a76ad" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_WrittenCommunications_a1faa136-b9be-4b04-93f9-01ab309f4810" xlink:href="https://xbrl.sec.gov/dei/2022/dei-2022.xsd#dei_WrittenCommunications"/>
    <link:presentationArc order="14" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_ba56c5a5-b4d2-4b38-ae95-5b41790d5f32" xlink:to="loc_dei_WrittenCommunications_a1faa136-b9be-4b04-93f9-01ab309f4810" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_SolicitingMaterial_d3744018-29db-47f6-8963-2f57986f6325" xlink:href="https://xbrl.sec.gov/dei/2022/dei-2022.xsd#dei_SolicitingMaterial"/>
    <link:presentationArc order="15" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_ba56c5a5-b4d2-4b38-ae95-5b41790d5f32" xlink:to="loc_dei_SolicitingMaterial_d3744018-29db-47f6-8963-2f57986f6325" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_PreCommencementTenderOffer_b3dfe6a7-edd9-4271-9652-da9bef7f0bd9" xlink:href="https://xbrl.sec.gov/dei/2022/dei-2022.xsd#dei_PreCommencementTenderOffer"/>
    <link:presentationArc order="16" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_ba56c5a5-b4d2-4b38-ae95-5b41790d5f32" xlink:to="loc_dei_PreCommencementTenderOffer_b3dfe6a7-edd9-4271-9652-da9bef7f0bd9" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_PreCommencementIssuerTenderOffer_c17f99eb-7ba7-4471-b154-f934f63f8293" xlink:href="https://xbrl.sec.gov/dei/2022/dei-2022.xsd#dei_PreCommencementIssuerTenderOffer"/>
    <link:presentationArc order="17" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_ba56c5a5-b4d2-4b38-ae95-5b41790d5f32" xlink:to="loc_dei_PreCommencementIssuerTenderOffer_c17f99eb-7ba7-4471-b154-f934f63f8293" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_Security12bTitle_506d6cc6-9e8c-4fee-8e70-1b12a838bdfe" xlink:href="https://xbrl.sec.gov/dei/2022/dei-2022.xsd#dei_Security12bTitle"/>
    <link:presentationArc order="18" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_ba56c5a5-b4d2-4b38-ae95-5b41790d5f32" xlink:to="loc_dei_Security12bTitle_506d6cc6-9e8c-4fee-8e70-1b12a838bdfe" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_TradingSymbol_2e9ce7ed-0304-4e0f-a64e-903485fe72a7" xlink:href="https://xbrl.sec.gov/dei/2022/dei-2022.xsd#dei_TradingSymbol"/>
    <link:presentationArc order="19" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_ba56c5a5-b4d2-4b38-ae95-5b41790d5f32" xlink:to="loc_dei_TradingSymbol_2e9ce7ed-0304-4e0f-a64e-903485fe72a7" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_SecurityExchangeName_ad728448-b65b-46c6-8bcf-d0285452725f" xlink:href="https://xbrl.sec.gov/dei/2022/dei-2022.xsd#dei_SecurityExchangeName"/>
    <link:presentationArc order="20" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_ba56c5a5-b4d2-4b38-ae95-5b41790d5f32" xlink:to="loc_dei_SecurityExchangeName_ad728448-b65b-46c6-8bcf-d0285452725f" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityEmergingGrowthCompany_8e5b5a90-2351-4a95-9d94-b681ac50aae2" xlink:href="https://xbrl.sec.gov/dei/2022/dei-2022.xsd#dei_EntityEmergingGrowthCompany"/>
    <link:presentationArc order="21" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_ba56c5a5-b4d2-4b38-ae95-5b41790d5f32" xlink:to="loc_dei_EntityEmergingGrowthCompany_8e5b5a90-2351-4a95-9d94-b681ac50aae2" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityCentralIndexKey_51a538e8-86a3-4cb3-b2fc-8b022db38188" xlink:href="https://xbrl.sec.gov/dei/2022/dei-2022.xsd#dei_EntityCentralIndexKey"/>
    <link:presentationArc order="22" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_ba56c5a5-b4d2-4b38-ae95-5b41790d5f32" xlink:to="loc_dei_EntityCentralIndexKey_51a538e8-86a3-4cb3-b2fc-8b022db38188" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_AmendmentFlag_49dfd70c-c956-4691-bb63-75ac1d3e6433" xlink:href="https://xbrl.sec.gov/dei/2022/dei-2022.xsd#dei_AmendmentFlag"/>
    <link:presentationArc order="23" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_ba56c5a5-b4d2-4b38-ae95-5b41790d5f32" xlink:to="loc_dei_AmendmentFlag_49dfd70c-c956-4691-bb63-75ac1d3e6433" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
</link:linkbase>
