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

<!--XBRL Document Created with Wdesk from Workiva-->
<!--Copyright 2022 Workiva-->
<!--r:5f522c10-1890-4912-8ae0-cbacac28bb5d,g:0ba4745c-bee3-4dab-aa63-26ed2c267c07-->
<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.allegromicro.com/role/Cover" xlink:type="simple" xlink:href="algm-20221027.xsd#Cover"/>
  <link:presentationLink xlink:role="http://www.allegromicro.com/role/Cover" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_dei_CoverAbstract_7f12b0d2-3e56-4fff-b63c-300de711fb7e" xlink:href="https://xbrl.sec.gov/dei/2022/dei-2022.xsd#dei_CoverAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentType_906610e3-8f87-4b08-971d-d780438a9912" 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_7f12b0d2-3e56-4fff-b63c-300de711fb7e" xlink:to="loc_dei_DocumentType_906610e3-8f87-4b08-971d-d780438a9912" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityFileNumber_bc23fde1-877e-48ba-a3c3-f8aea129edbf" xlink:href="https://xbrl.sec.gov/dei/2022/dei-2022.xsd#dei_EntityFileNumber"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_7f12b0d2-3e56-4fff-b63c-300de711fb7e" xlink:to="loc_dei_EntityFileNumber_bc23fde1-877e-48ba-a3c3-f8aea129edbf" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentPeriodEndDate_97b25b1a-341f-4353-b031-f15ebe108d9b" xlink:href="https://xbrl.sec.gov/dei/2022/dei-2022.xsd#dei_DocumentPeriodEndDate"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_7f12b0d2-3e56-4fff-b63c-300de711fb7e" xlink:to="loc_dei_DocumentPeriodEndDate_97b25b1a-341f-4353-b031-f15ebe108d9b" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityRegistrantName_e9e8e0ba-caee-4130-aaa8-8478bdbc2862" xlink:href="https://xbrl.sec.gov/dei/2022/dei-2022.xsd#dei_EntityRegistrantName"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_7f12b0d2-3e56-4fff-b63c-300de711fb7e" xlink:to="loc_dei_EntityRegistrantName_e9e8e0ba-caee-4130-aaa8-8478bdbc2862" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityIncorporationStateCountryCode_3adadce2-0ac0-4791-89a0-9f54467e3707" xlink:href="https://xbrl.sec.gov/dei/2022/dei-2022.xsd#dei_EntityIncorporationStateCountryCode"/>
    <link:presentationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_7f12b0d2-3e56-4fff-b63c-300de711fb7e" xlink:to="loc_dei_EntityIncorporationStateCountryCode_3adadce2-0ac0-4791-89a0-9f54467e3707" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityTaxIdentificationNumber_38b4930c-7af1-493f-bac7-d9064bd33716" 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_7f12b0d2-3e56-4fff-b63c-300de711fb7e" xlink:to="loc_dei_EntityTaxIdentificationNumber_38b4930c-7af1-493f-bac7-d9064bd33716" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressAddressLine1_b83a10da-e781-4ee1-bf1d-8d3e3d951f79" 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_7f12b0d2-3e56-4fff-b63c-300de711fb7e" xlink:to="loc_dei_EntityAddressAddressLine1_b83a10da-e781-4ee1-bf1d-8d3e3d951f79" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressCityOrTown_5621ad23-dc74-480b-8088-b17032872cec" xlink:href="https://xbrl.sec.gov/dei/2022/dei-2022.xsd#dei_EntityAddressCityOrTown"/>
    <link:presentationArc order="8" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_7f12b0d2-3e56-4fff-b63c-300de711fb7e" xlink:to="loc_dei_EntityAddressCityOrTown_5621ad23-dc74-480b-8088-b17032872cec" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressStateOrProvince_ae18ce70-1f67-4be8-b7ef-fc78aba79686" xlink:href="https://xbrl.sec.gov/dei/2022/dei-2022.xsd#dei_EntityAddressStateOrProvince"/>
    <link:presentationArc order="9" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_7f12b0d2-3e56-4fff-b63c-300de711fb7e" xlink:to="loc_dei_EntityAddressStateOrProvince_ae18ce70-1f67-4be8-b7ef-fc78aba79686" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressPostalZipCode_2b78a957-cb2f-468c-a337-c5fdd84d6637" xlink:href="https://xbrl.sec.gov/dei/2022/dei-2022.xsd#dei_EntityAddressPostalZipCode"/>
    <link:presentationArc order="10" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_7f12b0d2-3e56-4fff-b63c-300de711fb7e" xlink:to="loc_dei_EntityAddressPostalZipCode_2b78a957-cb2f-468c-a337-c5fdd84d6637" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_CityAreaCode_41c1ef41-03c4-46e4-91e5-da8742d2de4e" xlink:href="https://xbrl.sec.gov/dei/2022/dei-2022.xsd#dei_CityAreaCode"/>
    <link:presentationArc order="11" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_7f12b0d2-3e56-4fff-b63c-300de711fb7e" xlink:to="loc_dei_CityAreaCode_41c1ef41-03c4-46e4-91e5-da8742d2de4e" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_LocalPhoneNumber_0b984779-c83f-408c-aea1-455b81209b0a" xlink:href="https://xbrl.sec.gov/dei/2022/dei-2022.xsd#dei_LocalPhoneNumber"/>
    <link:presentationArc order="12" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_7f12b0d2-3e56-4fff-b63c-300de711fb7e" xlink:to="loc_dei_LocalPhoneNumber_0b984779-c83f-408c-aea1-455b81209b0a" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_WrittenCommunications_245b0a0b-ce12-4081-924b-ab4de6a02a0f" xlink:href="https://xbrl.sec.gov/dei/2022/dei-2022.xsd#dei_WrittenCommunications"/>
    <link:presentationArc order="13" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_7f12b0d2-3e56-4fff-b63c-300de711fb7e" xlink:to="loc_dei_WrittenCommunications_245b0a0b-ce12-4081-924b-ab4de6a02a0f" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_SolicitingMaterial_87d88abc-109d-412e-b53e-6ed6f126a8c9" xlink:href="https://xbrl.sec.gov/dei/2022/dei-2022.xsd#dei_SolicitingMaterial"/>
    <link:presentationArc order="14" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_7f12b0d2-3e56-4fff-b63c-300de711fb7e" xlink:to="loc_dei_SolicitingMaterial_87d88abc-109d-412e-b53e-6ed6f126a8c9" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_PreCommencementTenderOffer_dad5ac0a-016f-41e1-a905-8fe089d0d229" xlink:href="https://xbrl.sec.gov/dei/2022/dei-2022.xsd#dei_PreCommencementTenderOffer"/>
    <link:presentationArc order="15" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_7f12b0d2-3e56-4fff-b63c-300de711fb7e" xlink:to="loc_dei_PreCommencementTenderOffer_dad5ac0a-016f-41e1-a905-8fe089d0d229" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_PreCommencementIssuerTenderOffer_4b71098d-9a05-409a-9a3f-79f6355ae446" xlink:href="https://xbrl.sec.gov/dei/2022/dei-2022.xsd#dei_PreCommencementIssuerTenderOffer"/>
    <link:presentationArc order="16" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_7f12b0d2-3e56-4fff-b63c-300de711fb7e" xlink:to="loc_dei_PreCommencementIssuerTenderOffer_4b71098d-9a05-409a-9a3f-79f6355ae446" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_Security12bTitle_79b8ce83-9c25-4830-9833-0e01cc7f25da" xlink:href="https://xbrl.sec.gov/dei/2022/dei-2022.xsd#dei_Security12bTitle"/>
    <link:presentationArc order="17" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_7f12b0d2-3e56-4fff-b63c-300de711fb7e" xlink:to="loc_dei_Security12bTitle_79b8ce83-9c25-4830-9833-0e01cc7f25da" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_TradingSymbol_b8e9b63d-3ecb-4d99-b61d-f59f3242f294" xlink:href="https://xbrl.sec.gov/dei/2022/dei-2022.xsd#dei_TradingSymbol"/>
    <link:presentationArc order="18" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_7f12b0d2-3e56-4fff-b63c-300de711fb7e" xlink:to="loc_dei_TradingSymbol_b8e9b63d-3ecb-4d99-b61d-f59f3242f294" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_SecurityExchangeName_66fe77ed-7e7a-434b-8622-870c44c7987f" xlink:href="https://xbrl.sec.gov/dei/2022/dei-2022.xsd#dei_SecurityExchangeName"/>
    <link:presentationArc order="19" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_7f12b0d2-3e56-4fff-b63c-300de711fb7e" xlink:to="loc_dei_SecurityExchangeName_66fe77ed-7e7a-434b-8622-870c44c7987f" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityEmergingGrowthCompany_2212ae50-44f7-48a8-9efa-634a1aab7ee7" xlink:href="https://xbrl.sec.gov/dei/2022/dei-2022.xsd#dei_EntityEmergingGrowthCompany"/>
    <link:presentationArc order="20" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_7f12b0d2-3e56-4fff-b63c-300de711fb7e" xlink:to="loc_dei_EntityEmergingGrowthCompany_2212ae50-44f7-48a8-9efa-634a1aab7ee7" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityExTransitionPeriod_15f15a6c-97a2-4071-972f-c7aa0ba5b893" xlink:href="https://xbrl.sec.gov/dei/2022/dei-2022.xsd#dei_EntityExTransitionPeriod"/>
    <link:presentationArc order="21" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_7f12b0d2-3e56-4fff-b63c-300de711fb7e" xlink:to="loc_dei_EntityExTransitionPeriod_15f15a6c-97a2-4071-972f-c7aa0ba5b893" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityCentralIndexKey_a4dae412-f300-4a1d-b222-9cc998575fab" 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_7f12b0d2-3e56-4fff-b63c-300de711fb7e" xlink:to="loc_dei_EntityCentralIndexKey_a4dae412-f300-4a1d-b222-9cc998575fab" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_AmendmentFlag_396bc56c-2669-4cf4-85fc-40fe6c89e8cd" 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_7f12b0d2-3e56-4fff-b63c-300de711fb7e" xlink:to="loc_dei_AmendmentFlag_396bc56c-2669-4cf4-85fc-40fe6c89e8cd" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
</link:linkbase>
