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

<!--XBRL Document Created with the Workiva Platform-->
<!--Copyright 2026 Workiva-->
<!--r:019dd591-7352-7135-ae79-74cb6c9f751d,g:4be7b79d-ab72-49aa-b4fa-e6aa4d3fd883-->
<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.silganholdings.com/role/CoverPage" xlink:type="simple" xlink:href="slgn-20260429.xsd#CoverPage"/>
  <link:presentationLink xlink:role="http://www.silganholdings.com/role/CoverPage" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_dei_CoverAbstract_019dd591-7352-79c1-9fd2-9585453b27ce" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_CoverAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentType_019dd591-7352-7295-b7df-587c675a2e1a" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_DocumentType"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019dd591-7352-79c1-9fd2-9585453b27ce" xlink:to="loc_dei_DocumentType_019dd591-7352-7295-b7df-587c675a2e1a" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentPeriodEndDate_019dd591-7352-7e44-9b64-a9640855c417" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_DocumentPeriodEndDate"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019dd591-7352-79c1-9fd2-9585453b27ce" xlink:to="loc_dei_DocumentPeriodEndDate_019dd591-7352-7e44-9b64-a9640855c417" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityRegistrantName_019dd591-7352-7ca5-b319-8f7844e30eea" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_EntityRegistrantName"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019dd591-7352-79c1-9fd2-9585453b27ce" xlink:to="loc_dei_EntityRegistrantName_019dd591-7352-7ca5-b319-8f7844e30eea" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityIncorporationStateCountryCode_019dd591-7352-7684-9b7f-c83a9a61a97b" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_EntityIncorporationStateCountryCode"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019dd591-7352-79c1-9fd2-9585453b27ce" xlink:to="loc_dei_EntityIncorporationStateCountryCode_019dd591-7352-7684-9b7f-c83a9a61a97b" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityFileNumber_019dd591-7352-7f50-a588-492b8d0690b4" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_EntityFileNumber"/>
    <link:presentationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019dd591-7352-79c1-9fd2-9585453b27ce" xlink:to="loc_dei_EntityFileNumber_019dd591-7352-7f50-a588-492b8d0690b4" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityTaxIdentificationNumber_019dd591-7352-7efa-a5fc-a3a1ddcf854e" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_EntityTaxIdentificationNumber"/>
    <link:presentationArc order="6" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019dd591-7352-79c1-9fd2-9585453b27ce" xlink:to="loc_dei_EntityTaxIdentificationNumber_019dd591-7352-7efa-a5fc-a3a1ddcf854e" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressAddressLine1_019dd591-7352-7852-bae8-1d7860cbee34" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_EntityAddressAddressLine1"/>
    <link:presentationArc order="7" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019dd591-7352-79c1-9fd2-9585453b27ce" xlink:to="loc_dei_EntityAddressAddressLine1_019dd591-7352-7852-bae8-1d7860cbee34" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressCityOrTown_019dd591-7352-7578-ac6f-d7ca5922e96c" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_EntityAddressCityOrTown"/>
    <link:presentationArc order="8" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019dd591-7352-79c1-9fd2-9585453b27ce" xlink:to="loc_dei_EntityAddressCityOrTown_019dd591-7352-7578-ac6f-d7ca5922e96c" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressStateOrProvince_019dd591-7352-74a5-9b84-1cdd90d4bc29" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_EntityAddressStateOrProvince"/>
    <link:presentationArc order="9" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019dd591-7352-79c1-9fd2-9585453b27ce" xlink:to="loc_dei_EntityAddressStateOrProvince_019dd591-7352-74a5-9b84-1cdd90d4bc29" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressPostalZipCode_019dd591-7352-7a2d-9f76-23ea035a591f" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_EntityAddressPostalZipCode"/>
    <link:presentationArc order="10" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019dd591-7352-79c1-9fd2-9585453b27ce" xlink:to="loc_dei_EntityAddressPostalZipCode_019dd591-7352-7a2d-9f76-23ea035a591f" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_CityAreaCode_019dd591-7352-7b10-b421-c5eaf707eff2" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_CityAreaCode"/>
    <link:presentationArc order="11" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019dd591-7352-79c1-9fd2-9585453b27ce" xlink:to="loc_dei_CityAreaCode_019dd591-7352-7b10-b421-c5eaf707eff2" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_LocalPhoneNumber_019dd591-7352-7dd9-a40d-bd02e7720efa" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_LocalPhoneNumber"/>
    <link:presentationArc order="12" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019dd591-7352-79c1-9fd2-9585453b27ce" xlink:to="loc_dei_LocalPhoneNumber_019dd591-7352-7dd9-a40d-bd02e7720efa" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_WrittenCommunications_019dd591-7352-7f67-8ce2-66fdb2ca7108" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_WrittenCommunications"/>
    <link:presentationArc order="13" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019dd591-7352-79c1-9fd2-9585453b27ce" xlink:to="loc_dei_WrittenCommunications_019dd591-7352-7f67-8ce2-66fdb2ca7108" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_SolicitingMaterial_019dd591-7352-7d84-9651-4a910146696f" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_SolicitingMaterial"/>
    <link:presentationArc order="14" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019dd591-7352-79c1-9fd2-9585453b27ce" xlink:to="loc_dei_SolicitingMaterial_019dd591-7352-7d84-9651-4a910146696f" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_PreCommencementTenderOffer_019dd591-7352-770b-9a8d-fe14cfef922e" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_PreCommencementTenderOffer"/>
    <link:presentationArc order="15" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019dd591-7352-79c1-9fd2-9585453b27ce" xlink:to="loc_dei_PreCommencementTenderOffer_019dd591-7352-770b-9a8d-fe14cfef922e" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_PreCommencementIssuerTenderOffer_019dd591-7352-7aa8-b433-4bf84f134cea" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_PreCommencementIssuerTenderOffer"/>
    <link:presentationArc order="16" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019dd591-7352-79c1-9fd2-9585453b27ce" xlink:to="loc_dei_PreCommencementIssuerTenderOffer_019dd591-7352-7aa8-b433-4bf84f134cea" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_Security12bTitle_019dd591-7352-716b-a209-55d065b2b65f" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_Security12bTitle"/>
    <link:presentationArc order="17" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019dd591-7352-79c1-9fd2-9585453b27ce" xlink:to="loc_dei_Security12bTitle_019dd591-7352-716b-a209-55d065b2b65f" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_TradingSymbol_019dd591-7352-72c5-a531-140e1bc42c72" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_TradingSymbol"/>
    <link:presentationArc order="18" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019dd591-7352-79c1-9fd2-9585453b27ce" xlink:to="loc_dei_TradingSymbol_019dd591-7352-72c5-a531-140e1bc42c72" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_SecurityExchangeName_019dd591-7352-703c-8785-197f7a6587e0" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_SecurityExchangeName"/>
    <link:presentationArc order="19" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019dd591-7352-79c1-9fd2-9585453b27ce" xlink:to="loc_dei_SecurityExchangeName_019dd591-7352-703c-8785-197f7a6587e0" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityEmergingGrowthCompany_019dd591-7352-7abf-95e4-0c2f77e164b9" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_EntityEmergingGrowthCompany"/>
    <link:presentationArc order="20" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019dd591-7352-79c1-9fd2-9585453b27ce" xlink:to="loc_dei_EntityEmergingGrowthCompany_019dd591-7352-7abf-95e4-0c2f77e164b9" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_AmendmentFlag_019dd591-7352-75e9-ab14-e140d5b99d6b" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_AmendmentFlag"/>
    <link:presentationArc order="21" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019dd591-7352-79c1-9fd2-9585453b27ce" xlink:to="loc_dei_AmendmentFlag_019dd591-7352-75e9-ab14-e140d5b99d6b" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityCentralIndexKey_019dd591-7352-777f-9765-c3c2a7fa1603" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_EntityCentralIndexKey"/>
    <link:presentationArc order="22" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019dd591-7352-79c1-9fd2-9585453b27ce" xlink:to="loc_dei_EntityCentralIndexKey_019dd591-7352-777f-9765-c3c2a7fa1603" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
</link:linkbase>
