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

<!--XBRL Document Created with the Workiva Platform-->
<!--Copyright 2026 Workiva-->
<!--r:019f1ae7-cfa1-70bb-b0c5-5de93eac15e2,g:bc9bd4db-82d0-461b-85d5-f4277cdde0a3-->
<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.cpicardgroup.com/role/Cover" xlink:type="simple" xlink:href="pmts-20260629.xsd#Cover"/>
  <link:presentationLink xlink:role="http://www.cpicardgroup.com/role/Cover" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_dei_CoverAbstract_019f1b3a-6413-7f6c-b952-bd918d30f8eb" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_CoverAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentType_019f1b3a-6413-7045-bff2-b24498b0cc91" 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_019f1b3a-6413-7f6c-b952-bd918d30f8eb" xlink:to="loc_dei_DocumentType_019f1b3a-6413-7045-bff2-b24498b0cc91" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentPeriodEndDate_019f1b3a-6413-7838-8943-d1e74962f457" 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_019f1b3a-6413-7f6c-b952-bd918d30f8eb" xlink:to="loc_dei_DocumentPeriodEndDate_019f1b3a-6413-7838-8943-d1e74962f457" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityRegistrantName_019f1b3a-6413-725d-bf86-30d55b582952" 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_019f1b3a-6413-7f6c-b952-bd918d30f8eb" xlink:to="loc_dei_EntityRegistrantName_019f1b3a-6413-725d-bf86-30d55b582952" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityIncorporationStateCountryCode_019f1b3a-6413-7758-ae86-dce46281f2d9" 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_019f1b3a-6413-7f6c-b952-bd918d30f8eb" xlink:to="loc_dei_EntityIncorporationStateCountryCode_019f1b3a-6413-7758-ae86-dce46281f2d9" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityFileNumber_019f1b3a-6413-72fb-8749-2d62a2588220" 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_019f1b3a-6413-7f6c-b952-bd918d30f8eb" xlink:to="loc_dei_EntityFileNumber_019f1b3a-6413-72fb-8749-2d62a2588220" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityTaxIdentificationNumber_019f1b3a-6413-7707-865f-450fdcf6d1ad" 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_019f1b3a-6413-7f6c-b952-bd918d30f8eb" xlink:to="loc_dei_EntityTaxIdentificationNumber_019f1b3a-6413-7707-865f-450fdcf6d1ad" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressAddressLine1_019f1b3a-6413-7002-ae3b-7ef6421d4a4e" 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_019f1b3a-6413-7f6c-b952-bd918d30f8eb" xlink:to="loc_dei_EntityAddressAddressLine1_019f1b3a-6413-7002-ae3b-7ef6421d4a4e" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressCityOrTown_019f1b3a-6413-7057-b22f-443a9bb1bf71" 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_019f1b3a-6413-7f6c-b952-bd918d30f8eb" xlink:to="loc_dei_EntityAddressCityOrTown_019f1b3a-6413-7057-b22f-443a9bb1bf71" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressStateOrProvince_019f1b3a-6413-7db6-9a9c-7db1ef1b89b6" 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_019f1b3a-6413-7f6c-b952-bd918d30f8eb" xlink:to="loc_dei_EntityAddressStateOrProvince_019f1b3a-6413-7db6-9a9c-7db1ef1b89b6" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressPostalZipCode_019f1b3a-6413-746e-a0b3-93b2072ba582" 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_019f1b3a-6413-7f6c-b952-bd918d30f8eb" xlink:to="loc_dei_EntityAddressPostalZipCode_019f1b3a-6413-746e-a0b3-93b2072ba582" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_CityAreaCode_019f1b3a-6413-707f-a8a3-87342af52cae" 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_019f1b3a-6413-7f6c-b952-bd918d30f8eb" xlink:to="loc_dei_CityAreaCode_019f1b3a-6413-707f-a8a3-87342af52cae" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_LocalPhoneNumber_019f1b3a-6413-755b-9255-3f466d1fdef2" 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_019f1b3a-6413-7f6c-b952-bd918d30f8eb" xlink:to="loc_dei_LocalPhoneNumber_019f1b3a-6413-755b-9255-3f466d1fdef2" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_WrittenCommunications_019f1b3a-6413-728a-aace-3060e1059e03" 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_019f1b3a-6413-7f6c-b952-bd918d30f8eb" xlink:to="loc_dei_WrittenCommunications_019f1b3a-6413-728a-aace-3060e1059e03" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_SolicitingMaterial_019f1b3a-6413-71be-bc6f-4778f746dc52" 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_019f1b3a-6413-7f6c-b952-bd918d30f8eb" xlink:to="loc_dei_SolicitingMaterial_019f1b3a-6413-71be-bc6f-4778f746dc52" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_PreCommencementTenderOffer_019f1b3a-6413-7277-a277-924617a97dee" 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_019f1b3a-6413-7f6c-b952-bd918d30f8eb" xlink:to="loc_dei_PreCommencementTenderOffer_019f1b3a-6413-7277-a277-924617a97dee" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_PreCommencementIssuerTenderOffer_019f1b3a-6413-7298-875e-88399f861983" 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_019f1b3a-6413-7f6c-b952-bd918d30f8eb" xlink:to="loc_dei_PreCommencementIssuerTenderOffer_019f1b3a-6413-7298-875e-88399f861983" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_Security12bTitle_019f1b3a-6413-771d-a1e0-a992a3cab890" 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_019f1b3a-6413-7f6c-b952-bd918d30f8eb" xlink:to="loc_dei_Security12bTitle_019f1b3a-6413-771d-a1e0-a992a3cab890" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_TradingSymbol_019f1b3a-6413-78a3-b626-e29c43d048f0" 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_019f1b3a-6413-7f6c-b952-bd918d30f8eb" xlink:to="loc_dei_TradingSymbol_019f1b3a-6413-78a3-b626-e29c43d048f0" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_SecurityExchangeName_019f1b3a-6413-788e-9ef3-887d6427a911" 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_019f1b3a-6413-7f6c-b952-bd918d30f8eb" xlink:to="loc_dei_SecurityExchangeName_019f1b3a-6413-788e-9ef3-887d6427a911" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityEmergingGrowthCompany_019f1b3a-6413-7aaa-9952-b47b419352ae" 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_019f1b3a-6413-7f6c-b952-bd918d30f8eb" xlink:to="loc_dei_EntityEmergingGrowthCompany_019f1b3a-6413-7aaa-9952-b47b419352ae" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_AmendmentFlag_019f1b3a-6413-7bf2-8360-6f4d3bd82fa3" 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_019f1b3a-6413-7f6c-b952-bd918d30f8eb" xlink:to="loc_dei_AmendmentFlag_019f1b3a-6413-7bf2-8360-6f4d3bd82fa3" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityCentralIndexKey_019f1b3a-6413-7b8d-b7c3-210510bc255c" 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_019f1b3a-6413-7f6c-b952-bd918d30f8eb" xlink:to="loc_dei_EntityCentralIndexKey_019f1b3a-6413-7b8d-b7c3-210510bc255c" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
</link:linkbase>
