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

<!--XBRL Document Created with Wdesk from Workiva-->
<!--Copyright 2022 Workiva-->
<!--r:6922c979-0baa-4887-8fd6-29c8bbee1610,g:c9eb0cd3-647b-41a5-9234-40cf05da13b9-->
<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.ti.com/role/Cover" xlink:type="simple" xlink:href="txn-20220915.xsd#Cover"/>
  <link:presentationLink xlink:role="http://www.ti.com/role/Cover" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_dei_CoverAbstract_befa41c3-e905-414a-8e85-e52991887904" xlink:href="https://xbrl.sec.gov/dei/2022/dei-2022.xsd#dei_CoverAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentType_b3cf7615-b20c-48aa-b523-f4952843c267" 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_befa41c3-e905-414a-8e85-e52991887904" xlink:to="loc_dei_DocumentType_b3cf7615-b20c-48aa-b523-f4952843c267" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentPeriodEndDate_02e9c7f0-4cb8-4c96-8147-0cdfad77024c" 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_befa41c3-e905-414a-8e85-e52991887904" xlink:to="loc_dei_DocumentPeriodEndDate_02e9c7f0-4cb8-4c96-8147-0cdfad77024c" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityRegistrantName_56e0699d-5d9a-427f-81d6-b742eda99552" 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_befa41c3-e905-414a-8e85-e52991887904" xlink:to="loc_dei_EntityRegistrantName_56e0699d-5d9a-427f-81d6-b742eda99552" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityIncorporationStateCountryCode_1fb1caa9-903a-457a-8264-db3a20a81564" 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_befa41c3-e905-414a-8e85-e52991887904" xlink:to="loc_dei_EntityIncorporationStateCountryCode_1fb1caa9-903a-457a-8264-db3a20a81564" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityFileNumber_a52205d7-c411-4114-b9d7-a0d2bd67b710" 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_befa41c3-e905-414a-8e85-e52991887904" xlink:to="loc_dei_EntityFileNumber_a52205d7-c411-4114-b9d7-a0d2bd67b710" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityTaxIdentificationNumber_b37c5143-8cd2-430b-bf89-a38b38a66fd5" 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_befa41c3-e905-414a-8e85-e52991887904" xlink:to="loc_dei_EntityTaxIdentificationNumber_b37c5143-8cd2-430b-bf89-a38b38a66fd5" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressAddressLine1_dd51a14e-3cc0-4a44-b30a-b6b35788cbde" 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_befa41c3-e905-414a-8e85-e52991887904" xlink:to="loc_dei_EntityAddressAddressLine1_dd51a14e-3cc0-4a44-b30a-b6b35788cbde" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressCityOrTown_b7ad974c-ffda-40d1-bbc4-d95ee5703095" 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_befa41c3-e905-414a-8e85-e52991887904" xlink:to="loc_dei_EntityAddressCityOrTown_b7ad974c-ffda-40d1-bbc4-d95ee5703095" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressStateOrProvince_b22c6ee1-9206-44a5-a571-455421e15c41" 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_befa41c3-e905-414a-8e85-e52991887904" xlink:to="loc_dei_EntityAddressStateOrProvince_b22c6ee1-9206-44a5-a571-455421e15c41" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressPostalZipCode_2f28fa93-c85b-4ae1-8395-8777df40777f" 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_befa41c3-e905-414a-8e85-e52991887904" xlink:to="loc_dei_EntityAddressPostalZipCode_2f28fa93-c85b-4ae1-8395-8777df40777f" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_CityAreaCode_420e513f-f923-4072-9135-daf952f24fc9" 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_befa41c3-e905-414a-8e85-e52991887904" xlink:to="loc_dei_CityAreaCode_420e513f-f923-4072-9135-daf952f24fc9" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_LocalPhoneNumber_ee936ab7-9e95-4955-a209-4cd96a657f5e" 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_befa41c3-e905-414a-8e85-e52991887904" xlink:to="loc_dei_LocalPhoneNumber_ee936ab7-9e95-4955-a209-4cd96a657f5e" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_WrittenCommunications_a300ee61-43a9-4674-ad4e-1db4cd619c35" 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_befa41c3-e905-414a-8e85-e52991887904" xlink:to="loc_dei_WrittenCommunications_a300ee61-43a9-4674-ad4e-1db4cd619c35" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_SolicitingMaterial_bf6407bc-d30c-486d-890b-6c44cea840eb" 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_befa41c3-e905-414a-8e85-e52991887904" xlink:to="loc_dei_SolicitingMaterial_bf6407bc-d30c-486d-890b-6c44cea840eb" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_PreCommencementTenderOffer_827bcea6-1bfc-4903-bf43-b7f0ea4302c9" 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_befa41c3-e905-414a-8e85-e52991887904" xlink:to="loc_dei_PreCommencementTenderOffer_827bcea6-1bfc-4903-bf43-b7f0ea4302c9" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_PreCommencementIssuerTenderOffer_e2208397-7a6b-40c4-a270-b34c03362ee6" 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_befa41c3-e905-414a-8e85-e52991887904" xlink:to="loc_dei_PreCommencementIssuerTenderOffer_e2208397-7a6b-40c4-a270-b34c03362ee6" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_Security12bTitle_a78fe7ee-ef2e-495f-ad92-42384a66a175" 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_befa41c3-e905-414a-8e85-e52991887904" xlink:to="loc_dei_Security12bTitle_a78fe7ee-ef2e-495f-ad92-42384a66a175" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_TradingSymbol_d59eb8ff-aaf7-463d-a713-411a0705aa91" 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_befa41c3-e905-414a-8e85-e52991887904" xlink:to="loc_dei_TradingSymbol_d59eb8ff-aaf7-463d-a713-411a0705aa91" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_SecurityExchangeName_34d3fc2b-d5cc-441d-ab0f-687a14ab8b8a" 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_befa41c3-e905-414a-8e85-e52991887904" xlink:to="loc_dei_SecurityExchangeName_34d3fc2b-d5cc-441d-ab0f-687a14ab8b8a" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityEmergingGrowthCompany_b381afeb-f564-4c8f-8c82-33cbccaa8343" 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_befa41c3-e905-414a-8e85-e52991887904" xlink:to="loc_dei_EntityEmergingGrowthCompany_b381afeb-f564-4c8f-8c82-33cbccaa8343" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_AmendmentFlag_44e65ac8-6b3b-487c-ab4c-e17f91254868" xlink:href="https://xbrl.sec.gov/dei/2022/dei-2022.xsd#dei_AmendmentFlag"/>
    <link:presentationArc order="21" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_befa41c3-e905-414a-8e85-e52991887904" xlink:to="loc_dei_AmendmentFlag_44e65ac8-6b3b-487c-ab4c-e17f91254868" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityCentralIndexKey_e9c01bd7-1dd7-4d3b-b855-87bd99ed8135" 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_befa41c3-e905-414a-8e85-e52991887904" xlink:to="loc_dei_EntityCentralIndexKey_e9c01bd7-1dd7-4d3b-b855-87bd99ed8135" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
</link:linkbase>
