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

<!--XBRL Document Created with Wdesk from Workiva-->
<!--Copyright 2023 Workiva-->
<!--r:815fa7e7-7418-41da-8ea6-b102614ae0ea,g:b4601c2e-9662-4c28-9b28-d15f83662851-->
<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://lunainc.com/role/CoverDocument" xlink:type="simple" xlink:href="luna-20230524.xsd#CoverDocument"/>
  <link:presentationLink xlink:role="http://lunainc.com/role/CoverDocument" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_dei_CoverAbstract_93e674aa-9ce4-406a-9383-81032cb54783" xlink:href="https://xbrl.sec.gov/dei/2021/dei-2021.xsd#dei_CoverAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentType_0e18642e-eeaa-4b5e-a25d-63a33690040f" 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_93e674aa-9ce4-406a-9383-81032cb54783" xlink:to="loc_dei_DocumentType_0e18642e-eeaa-4b5e-a25d-63a33690040f" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentPeriodEndDate_71dde667-dcac-45f4-aaee-45ef2bd80955" 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_93e674aa-9ce4-406a-9383-81032cb54783" xlink:to="loc_dei_DocumentPeriodEndDate_71dde667-dcac-45f4-aaee-45ef2bd80955" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityRegistrantName_5b7dc1b9-4238-4650-b50a-2085c0400ff1" 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_93e674aa-9ce4-406a-9383-81032cb54783" xlink:to="loc_dei_EntityRegistrantName_5b7dc1b9-4238-4650-b50a-2085c0400ff1" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityIncorporationStateCountryCode_6b89afaf-975b-4f39-abaf-78102f7ab261" 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_93e674aa-9ce4-406a-9383-81032cb54783" xlink:to="loc_dei_EntityIncorporationStateCountryCode_6b89afaf-975b-4f39-abaf-78102f7ab261" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityFileNumber_bd3f2999-7cdb-46d0-b14c-375d65b7da52" 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_93e674aa-9ce4-406a-9383-81032cb54783" xlink:to="loc_dei_EntityFileNumber_bd3f2999-7cdb-46d0-b14c-375d65b7da52" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityTaxIdentificationNumber_5dac7dac-14cb-4940-a85b-3d5b07aa4db0" 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_93e674aa-9ce4-406a-9383-81032cb54783" xlink:to="loc_dei_EntityTaxIdentificationNumber_5dac7dac-14cb-4940-a85b-3d5b07aa4db0" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressAddressLine1_50e6cf26-a072-4498-b346-3e31deea3384" 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_93e674aa-9ce4-406a-9383-81032cb54783" xlink:to="loc_dei_EntityAddressAddressLine1_50e6cf26-a072-4498-b346-3e31deea3384" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressAddressLine2_42720c20-7685-4799-aefb-8c758795e490" xlink:href="https://xbrl.sec.gov/dei/2021/dei-2021.xsd#dei_EntityAddressAddressLine2"/>
    <link:presentationArc order="8" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_93e674aa-9ce4-406a-9383-81032cb54783" xlink:to="loc_dei_EntityAddressAddressLine2_42720c20-7685-4799-aefb-8c758795e490" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressCityOrTown_582c9962-2ab3-476e-b151-83a4b747e6a9" xlink:href="https://xbrl.sec.gov/dei/2021/dei-2021.xsd#dei_EntityAddressCityOrTown"/>
    <link:presentationArc order="9" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_93e674aa-9ce4-406a-9383-81032cb54783" xlink:to="loc_dei_EntityAddressCityOrTown_582c9962-2ab3-476e-b151-83a4b747e6a9" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressStateOrProvince_a672de57-b2d8-4874-86bf-7f50b3fc1576" xlink:href="https://xbrl.sec.gov/dei/2021/dei-2021.xsd#dei_EntityAddressStateOrProvince"/>
    <link:presentationArc order="10" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_93e674aa-9ce4-406a-9383-81032cb54783" xlink:to="loc_dei_EntityAddressStateOrProvince_a672de57-b2d8-4874-86bf-7f50b3fc1576" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressPostalZipCode_18b7237f-b365-4013-9902-944799f07a2b" xlink:href="https://xbrl.sec.gov/dei/2021/dei-2021.xsd#dei_EntityAddressPostalZipCode"/>
    <link:presentationArc order="11" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_93e674aa-9ce4-406a-9383-81032cb54783" xlink:to="loc_dei_EntityAddressPostalZipCode_18b7237f-b365-4013-9902-944799f07a2b" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_CityAreaCode_ba6c53f0-cbeb-4656-9222-48af0ec96718" xlink:href="https://xbrl.sec.gov/dei/2021/dei-2021.xsd#dei_CityAreaCode"/>
    <link:presentationArc order="12" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_93e674aa-9ce4-406a-9383-81032cb54783" xlink:to="loc_dei_CityAreaCode_ba6c53f0-cbeb-4656-9222-48af0ec96718" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_LocalPhoneNumber_c267726c-00ae-49aa-ad34-3d910067cb7a" xlink:href="https://xbrl.sec.gov/dei/2021/dei-2021.xsd#dei_LocalPhoneNumber"/>
    <link:presentationArc order="13" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_93e674aa-9ce4-406a-9383-81032cb54783" xlink:to="loc_dei_LocalPhoneNumber_c267726c-00ae-49aa-ad34-3d910067cb7a" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_WrittenCommunications_fe9896ad-cda5-4380-b577-4f47351b3dad" xlink:href="https://xbrl.sec.gov/dei/2021/dei-2021.xsd#dei_WrittenCommunications"/>
    <link:presentationArc order="14" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_93e674aa-9ce4-406a-9383-81032cb54783" xlink:to="loc_dei_WrittenCommunications_fe9896ad-cda5-4380-b577-4f47351b3dad" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_SolicitingMaterial_883dae26-5ffe-4ff9-97dc-c8baf5ae0c23" xlink:href="https://xbrl.sec.gov/dei/2021/dei-2021.xsd#dei_SolicitingMaterial"/>
    <link:presentationArc order="15" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_93e674aa-9ce4-406a-9383-81032cb54783" xlink:to="loc_dei_SolicitingMaterial_883dae26-5ffe-4ff9-97dc-c8baf5ae0c23" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_PreCommencementTenderOffer_1fe1a0a5-a28c-4028-bd93-ea0d88ba3dc5" xlink:href="https://xbrl.sec.gov/dei/2021/dei-2021.xsd#dei_PreCommencementTenderOffer"/>
    <link:presentationArc order="16" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_93e674aa-9ce4-406a-9383-81032cb54783" xlink:to="loc_dei_PreCommencementTenderOffer_1fe1a0a5-a28c-4028-bd93-ea0d88ba3dc5" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_PreCommencementIssuerTenderOffer_2fbee10e-b1f5-4a43-9021-c2db3c225025" xlink:href="https://xbrl.sec.gov/dei/2021/dei-2021.xsd#dei_PreCommencementIssuerTenderOffer"/>
    <link:presentationArc order="17" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_93e674aa-9ce4-406a-9383-81032cb54783" xlink:to="loc_dei_PreCommencementIssuerTenderOffer_2fbee10e-b1f5-4a43-9021-c2db3c225025" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_Security12bTitle_6526c0e3-f07d-4f77-9eff-d718e9b39a62" xlink:href="https://xbrl.sec.gov/dei/2021/dei-2021.xsd#dei_Security12bTitle"/>
    <link:presentationArc order="18" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_93e674aa-9ce4-406a-9383-81032cb54783" xlink:to="loc_dei_Security12bTitle_6526c0e3-f07d-4f77-9eff-d718e9b39a62" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_TradingSymbol_372199b6-244d-4b81-9e19-0be39857145b" xlink:href="https://xbrl.sec.gov/dei/2021/dei-2021.xsd#dei_TradingSymbol"/>
    <link:presentationArc order="19" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_93e674aa-9ce4-406a-9383-81032cb54783" xlink:to="loc_dei_TradingSymbol_372199b6-244d-4b81-9e19-0be39857145b" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_SecurityExchangeName_d3a87c89-a471-47dc-82e7-49ab552374ed" xlink:href="https://xbrl.sec.gov/dei/2021/dei-2021.xsd#dei_SecurityExchangeName"/>
    <link:presentationArc order="20" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_93e674aa-9ce4-406a-9383-81032cb54783" xlink:to="loc_dei_SecurityExchangeName_d3a87c89-a471-47dc-82e7-49ab552374ed" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityEmergingGrowthCompany_c2795a36-b65a-4c32-94e5-73521cde7f4b" xlink:href="https://xbrl.sec.gov/dei/2021/dei-2021.xsd#dei_EntityEmergingGrowthCompany"/>
    <link:presentationArc order="21" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_93e674aa-9ce4-406a-9383-81032cb54783" xlink:to="loc_dei_EntityEmergingGrowthCompany_c2795a36-b65a-4c32-94e5-73521cde7f4b" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityCentralIndexKey_27523140-7c31-4cc2-ab70-2cf9477d95bf" 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_93e674aa-9ce4-406a-9383-81032cb54783" xlink:to="loc_dei_EntityCentralIndexKey_27523140-7c31-4cc2-ab70-2cf9477d95bf" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_AmendmentFlag_fd557aeb-3701-479d-8d9b-e3dad903f4bc" xlink:href="https://xbrl.sec.gov/dei/2021/dei-2021.xsd#dei_AmendmentFlag"/>
    <link:presentationArc order="23" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_93e674aa-9ce4-406a-9383-81032cb54783" xlink:to="loc_dei_AmendmentFlag_fd557aeb-3701-479d-8d9b-e3dad903f4bc" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
</link:linkbase>
