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

<!--XBRL Document Created with Wdesk from Workiva-->
<!--Copyright 2022 Workiva-->
<!--r:d0a1cb2f-27c1-44e5-b9d3-58f4d7d8260f,g:f6e1f0b1-32f9-4585-8753-955b0b5090ea-->
<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-20220426.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_004641e2-a467-4d3d-a6be-27dfe5409c3c" xlink:href="https://xbrl.sec.gov/dei/2021/dei-2021.xsd#dei_CoverAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentType_e0fb5398-c26a-41bd-9c89-be2f1b2e179d" xlink:href="https://xbrl.sec.gov/dei/2021/dei-2021.xsd#dei_DocumentType"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_004641e2-a467-4d3d-a6be-27dfe5409c3c" xlink:to="loc_dei_DocumentType_e0fb5398-c26a-41bd-9c89-be2f1b2e179d" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentPeriodEndDate_e64d7cbd-8a53-4ddf-945f-bd303797dfd8" xlink:href="https://xbrl.sec.gov/dei/2021/dei-2021.xsd#dei_DocumentPeriodEndDate"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_004641e2-a467-4d3d-a6be-27dfe5409c3c" xlink:to="loc_dei_DocumentPeriodEndDate_e64d7cbd-8a53-4ddf-945f-bd303797dfd8" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityRegistrantName_237d11a2-2de3-420b-8f41-48bffb3771a0" xlink:href="https://xbrl.sec.gov/dei/2021/dei-2021.xsd#dei_EntityRegistrantName"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_004641e2-a467-4d3d-a6be-27dfe5409c3c" xlink:to="loc_dei_EntityRegistrantName_237d11a2-2de3-420b-8f41-48bffb3771a0" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityIncorporationStateCountryCode_af9818c2-f963-490d-9e1d-b52a4bb5fddc" xlink:href="https://xbrl.sec.gov/dei/2021/dei-2021.xsd#dei_EntityIncorporationStateCountryCode"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_004641e2-a467-4d3d-a6be-27dfe5409c3c" xlink:to="loc_dei_EntityIncorporationStateCountryCode_af9818c2-f963-490d-9e1d-b52a4bb5fddc" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityFileNumber_e19d278e-728e-45f3-812b-37f65d558264" xlink:href="https://xbrl.sec.gov/dei/2021/dei-2021.xsd#dei_EntityFileNumber"/>
    <link:presentationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_004641e2-a467-4d3d-a6be-27dfe5409c3c" xlink:to="loc_dei_EntityFileNumber_e19d278e-728e-45f3-812b-37f65d558264" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityTaxIdentificationNumber_4e821866-f615-4ea2-bf86-4ad6b0aeb00d" xlink:href="https://xbrl.sec.gov/dei/2021/dei-2021.xsd#dei_EntityTaxIdentificationNumber"/>
    <link:presentationArc order="6" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_004641e2-a467-4d3d-a6be-27dfe5409c3c" xlink:to="loc_dei_EntityTaxIdentificationNumber_4e821866-f615-4ea2-bf86-4ad6b0aeb00d" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressAddressLine1_7a82f823-db1a-4bb7-a42a-f6d30d66ab85" xlink:href="https://xbrl.sec.gov/dei/2021/dei-2021.xsd#dei_EntityAddressAddressLine1"/>
    <link:presentationArc order="7" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_004641e2-a467-4d3d-a6be-27dfe5409c3c" xlink:to="loc_dei_EntityAddressAddressLine1_7a82f823-db1a-4bb7-a42a-f6d30d66ab85" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressCityOrTown_ca2c0920-5a8f-446a-8cd4-20cb1e95abff" xlink:href="https://xbrl.sec.gov/dei/2021/dei-2021.xsd#dei_EntityAddressCityOrTown"/>
    <link:presentationArc order="8" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_004641e2-a467-4d3d-a6be-27dfe5409c3c" xlink:to="loc_dei_EntityAddressCityOrTown_ca2c0920-5a8f-446a-8cd4-20cb1e95abff" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressStateOrProvince_1f2edc18-9311-4892-8933-3bcb305abe3d" xlink:href="https://xbrl.sec.gov/dei/2021/dei-2021.xsd#dei_EntityAddressStateOrProvince"/>
    <link:presentationArc order="9" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_004641e2-a467-4d3d-a6be-27dfe5409c3c" xlink:to="loc_dei_EntityAddressStateOrProvince_1f2edc18-9311-4892-8933-3bcb305abe3d" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressPostalZipCode_dd745e4a-e135-45fa-b2a7-5991a0fe711f" xlink:href="https://xbrl.sec.gov/dei/2021/dei-2021.xsd#dei_EntityAddressPostalZipCode"/>
    <link:presentationArc order="10" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_004641e2-a467-4d3d-a6be-27dfe5409c3c" xlink:to="loc_dei_EntityAddressPostalZipCode_dd745e4a-e135-45fa-b2a7-5991a0fe711f" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_CityAreaCode_9bab8454-eede-4720-a5c2-7219fcb1d1ce" xlink:href="https://xbrl.sec.gov/dei/2021/dei-2021.xsd#dei_CityAreaCode"/>
    <link:presentationArc order="11" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_004641e2-a467-4d3d-a6be-27dfe5409c3c" xlink:to="loc_dei_CityAreaCode_9bab8454-eede-4720-a5c2-7219fcb1d1ce" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_LocalPhoneNumber_95efb360-57c7-4bf3-915b-6751608c4a2c" xlink:href="https://xbrl.sec.gov/dei/2021/dei-2021.xsd#dei_LocalPhoneNumber"/>
    <link:presentationArc order="12" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_004641e2-a467-4d3d-a6be-27dfe5409c3c" xlink:to="loc_dei_LocalPhoneNumber_95efb360-57c7-4bf3-915b-6751608c4a2c" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_WrittenCommunications_c8197846-e805-4951-97e8-e62b9ad93c33" xlink:href="https://xbrl.sec.gov/dei/2021/dei-2021.xsd#dei_WrittenCommunications"/>
    <link:presentationArc order="13" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_004641e2-a467-4d3d-a6be-27dfe5409c3c" xlink:to="loc_dei_WrittenCommunications_c8197846-e805-4951-97e8-e62b9ad93c33" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_SolicitingMaterial_eff8a32d-d564-4d5a-95ca-29d992d57302" xlink:href="https://xbrl.sec.gov/dei/2021/dei-2021.xsd#dei_SolicitingMaterial"/>
    <link:presentationArc order="14" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_004641e2-a467-4d3d-a6be-27dfe5409c3c" xlink:to="loc_dei_SolicitingMaterial_eff8a32d-d564-4d5a-95ca-29d992d57302" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_PreCommencementTenderOffer_b41693fe-40cb-4ce2-a8db-9761f9877c6c" xlink:href="https://xbrl.sec.gov/dei/2021/dei-2021.xsd#dei_PreCommencementTenderOffer"/>
    <link:presentationArc order="15" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_004641e2-a467-4d3d-a6be-27dfe5409c3c" xlink:to="loc_dei_PreCommencementTenderOffer_b41693fe-40cb-4ce2-a8db-9761f9877c6c" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_PreCommencementIssuerTenderOffer_b6a13a95-de4f-4792-964f-8ff5dab12ee0" xlink:href="https://xbrl.sec.gov/dei/2021/dei-2021.xsd#dei_PreCommencementIssuerTenderOffer"/>
    <link:presentationArc order="16" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_004641e2-a467-4d3d-a6be-27dfe5409c3c" xlink:to="loc_dei_PreCommencementIssuerTenderOffer_b6a13a95-de4f-4792-964f-8ff5dab12ee0" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_Security12bTitle_566d31bb-e768-4751-b5c5-c1bb229ca424" xlink:href="https://xbrl.sec.gov/dei/2021/dei-2021.xsd#dei_Security12bTitle"/>
    <link:presentationArc order="17" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_004641e2-a467-4d3d-a6be-27dfe5409c3c" xlink:to="loc_dei_Security12bTitle_566d31bb-e768-4751-b5c5-c1bb229ca424" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_TradingSymbol_9a3b953c-8010-440e-ac0b-3c7b13e3c7a3" xlink:href="https://xbrl.sec.gov/dei/2021/dei-2021.xsd#dei_TradingSymbol"/>
    <link:presentationArc order="18" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_004641e2-a467-4d3d-a6be-27dfe5409c3c" xlink:to="loc_dei_TradingSymbol_9a3b953c-8010-440e-ac0b-3c7b13e3c7a3" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_SecurityExchangeName_2aced782-23a3-4e2e-8b9e-2f6b7aff61ab" xlink:href="https://xbrl.sec.gov/dei/2021/dei-2021.xsd#dei_SecurityExchangeName"/>
    <link:presentationArc order="19" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_004641e2-a467-4d3d-a6be-27dfe5409c3c" xlink:to="loc_dei_SecurityExchangeName_2aced782-23a3-4e2e-8b9e-2f6b7aff61ab" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityEmergingGrowthCompany_246c8a8e-8175-43cc-80d9-24620d0b9875" xlink:href="https://xbrl.sec.gov/dei/2021/dei-2021.xsd#dei_EntityEmergingGrowthCompany"/>
    <link:presentationArc order="20" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_004641e2-a467-4d3d-a6be-27dfe5409c3c" xlink:to="loc_dei_EntityEmergingGrowthCompany_246c8a8e-8175-43cc-80d9-24620d0b9875" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_AmendmentFlag_e007be59-2883-4e96-b811-d2e99639589d" xlink:href="https://xbrl.sec.gov/dei/2021/dei-2021.xsd#dei_AmendmentFlag"/>
    <link:presentationArc order="21" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_004641e2-a467-4d3d-a6be-27dfe5409c3c" xlink:to="loc_dei_AmendmentFlag_e007be59-2883-4e96-b811-d2e99639589d" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityCentralIndexKey_7738a3fe-6c9c-49fa-b71b-6abf9ea6e0a0" xlink:href="https://xbrl.sec.gov/dei/2021/dei-2021.xsd#dei_EntityCentralIndexKey"/>
    <link:presentationArc order="22" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_004641e2-a467-4d3d-a6be-27dfe5409c3c" xlink:to="loc_dei_EntityCentralIndexKey_7738a3fe-6c9c-49fa-b71b-6abf9ea6e0a0" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
</link:linkbase>
