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

<!--XBRL Document Created with the Workiva Platform-->
<!--Copyright 2024 Workiva-->
<!--r:3d84d93b-0ba4-4fdd-b46f-0b6f9269b7f8,g:9ca50b5b-af6c-40c7-b9fa-6040a4c423da-->
<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-20241115.xsd#CoverDocument"/>
  <link:presentationLink xlink:role="http://lunainc.com/role/CoverDocument" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_dei_CoverAbstract_95c7bdb1-4d79-4ec4-8004-582da3dd0b8a" xlink:href="https://xbrl.sec.gov/dei/2023/dei-2023.xsd#dei_CoverAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentType_b1460f11-a767-49b1-9a79-2cf7a59b515f" xlink:href="https://xbrl.sec.gov/dei/2023/dei-2023.xsd#dei_DocumentType"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_95c7bdb1-4d79-4ec4-8004-582da3dd0b8a" xlink:to="loc_dei_DocumentType_b1460f11-a767-49b1-9a79-2cf7a59b515f" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentPeriodEndDate_dc759604-3fee-44c8-983b-b32c58ef062e" xlink:href="https://xbrl.sec.gov/dei/2023/dei-2023.xsd#dei_DocumentPeriodEndDate"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_95c7bdb1-4d79-4ec4-8004-582da3dd0b8a" xlink:to="loc_dei_DocumentPeriodEndDate_dc759604-3fee-44c8-983b-b32c58ef062e" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityRegistrantName_b928200f-92db-4377-af40-8eb71a20cd4b" xlink:href="https://xbrl.sec.gov/dei/2023/dei-2023.xsd#dei_EntityRegistrantName"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_95c7bdb1-4d79-4ec4-8004-582da3dd0b8a" xlink:to="loc_dei_EntityRegistrantName_b928200f-92db-4377-af40-8eb71a20cd4b" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityIncorporationStateCountryCode_e0ad556f-0e70-40b0-bca1-15601db5ac6a" xlink:href="https://xbrl.sec.gov/dei/2023/dei-2023.xsd#dei_EntityIncorporationStateCountryCode"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_95c7bdb1-4d79-4ec4-8004-582da3dd0b8a" xlink:to="loc_dei_EntityIncorporationStateCountryCode_e0ad556f-0e70-40b0-bca1-15601db5ac6a" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityFileNumber_6e48ba3d-7881-4bfe-83d0-08e0838e1cb5" xlink:href="https://xbrl.sec.gov/dei/2023/dei-2023.xsd#dei_EntityFileNumber"/>
    <link:presentationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_95c7bdb1-4d79-4ec4-8004-582da3dd0b8a" xlink:to="loc_dei_EntityFileNumber_6e48ba3d-7881-4bfe-83d0-08e0838e1cb5" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityTaxIdentificationNumber_bd5adfac-f655-4439-96c2-47b34c53b215" xlink:href="https://xbrl.sec.gov/dei/2023/dei-2023.xsd#dei_EntityTaxIdentificationNumber"/>
    <link:presentationArc order="6" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_95c7bdb1-4d79-4ec4-8004-582da3dd0b8a" xlink:to="loc_dei_EntityTaxIdentificationNumber_bd5adfac-f655-4439-96c2-47b34c53b215" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressAddressLine1_2ff52d9b-cb2d-49c5-8de8-20b3918fafdc" xlink:href="https://xbrl.sec.gov/dei/2023/dei-2023.xsd#dei_EntityAddressAddressLine1"/>
    <link:presentationArc order="7" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_95c7bdb1-4d79-4ec4-8004-582da3dd0b8a" xlink:to="loc_dei_EntityAddressAddressLine1_2ff52d9b-cb2d-49c5-8de8-20b3918fafdc" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressAddressLine2_f05ba80d-3629-454d-a680-63706f557129" xlink:href="https://xbrl.sec.gov/dei/2023/dei-2023.xsd#dei_EntityAddressAddressLine2"/>
    <link:presentationArc order="8" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_95c7bdb1-4d79-4ec4-8004-582da3dd0b8a" xlink:to="loc_dei_EntityAddressAddressLine2_f05ba80d-3629-454d-a680-63706f557129" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressCityOrTown_39c5a2e5-ffed-4b3b-8fba-adb6c5d066c7" xlink:href="https://xbrl.sec.gov/dei/2023/dei-2023.xsd#dei_EntityAddressCityOrTown"/>
    <link:presentationArc order="9" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_95c7bdb1-4d79-4ec4-8004-582da3dd0b8a" xlink:to="loc_dei_EntityAddressCityOrTown_39c5a2e5-ffed-4b3b-8fba-adb6c5d066c7" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressStateOrProvince_1e7d29b9-4863-4913-84fd-76f3afae67d2" xlink:href="https://xbrl.sec.gov/dei/2023/dei-2023.xsd#dei_EntityAddressStateOrProvince"/>
    <link:presentationArc order="10" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_95c7bdb1-4d79-4ec4-8004-582da3dd0b8a" xlink:to="loc_dei_EntityAddressStateOrProvince_1e7d29b9-4863-4913-84fd-76f3afae67d2" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressPostalZipCode_84e931d2-046a-469d-882e-22b5136c475d" xlink:href="https://xbrl.sec.gov/dei/2023/dei-2023.xsd#dei_EntityAddressPostalZipCode"/>
    <link:presentationArc order="11" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_95c7bdb1-4d79-4ec4-8004-582da3dd0b8a" xlink:to="loc_dei_EntityAddressPostalZipCode_84e931d2-046a-469d-882e-22b5136c475d" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_CityAreaCode_8c57e72e-e697-42ef-9d4e-3df792c7efab" xlink:href="https://xbrl.sec.gov/dei/2023/dei-2023.xsd#dei_CityAreaCode"/>
    <link:presentationArc order="12" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_95c7bdb1-4d79-4ec4-8004-582da3dd0b8a" xlink:to="loc_dei_CityAreaCode_8c57e72e-e697-42ef-9d4e-3df792c7efab" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_LocalPhoneNumber_f9925491-dfb8-4ec1-a623-7515741084ad" xlink:href="https://xbrl.sec.gov/dei/2023/dei-2023.xsd#dei_LocalPhoneNumber"/>
    <link:presentationArc order="13" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_95c7bdb1-4d79-4ec4-8004-582da3dd0b8a" xlink:to="loc_dei_LocalPhoneNumber_f9925491-dfb8-4ec1-a623-7515741084ad" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_WrittenCommunications_3dcc3081-6ac0-45a2-b2a9-ea4367eccdd0" xlink:href="https://xbrl.sec.gov/dei/2023/dei-2023.xsd#dei_WrittenCommunications"/>
    <link:presentationArc order="14" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_95c7bdb1-4d79-4ec4-8004-582da3dd0b8a" xlink:to="loc_dei_WrittenCommunications_3dcc3081-6ac0-45a2-b2a9-ea4367eccdd0" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_SolicitingMaterial_7f0303fd-397f-410c-9e4f-b077ca6d1f0c" xlink:href="https://xbrl.sec.gov/dei/2023/dei-2023.xsd#dei_SolicitingMaterial"/>
    <link:presentationArc order="15" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_95c7bdb1-4d79-4ec4-8004-582da3dd0b8a" xlink:to="loc_dei_SolicitingMaterial_7f0303fd-397f-410c-9e4f-b077ca6d1f0c" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_PreCommencementTenderOffer_a5db025c-1091-46a7-83ea-8e93b2fd866b" xlink:href="https://xbrl.sec.gov/dei/2023/dei-2023.xsd#dei_PreCommencementTenderOffer"/>
    <link:presentationArc order="16" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_95c7bdb1-4d79-4ec4-8004-582da3dd0b8a" xlink:to="loc_dei_PreCommencementTenderOffer_a5db025c-1091-46a7-83ea-8e93b2fd866b" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_PreCommencementIssuerTenderOffer_b3d1598e-6a69-4a52-97c0-65a2e91d570d" xlink:href="https://xbrl.sec.gov/dei/2023/dei-2023.xsd#dei_PreCommencementIssuerTenderOffer"/>
    <link:presentationArc order="17" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_95c7bdb1-4d79-4ec4-8004-582da3dd0b8a" xlink:to="loc_dei_PreCommencementIssuerTenderOffer_b3d1598e-6a69-4a52-97c0-65a2e91d570d" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_Security12bTitle_b30b7cff-0129-4eb2-8198-bff90d2d685e" xlink:href="https://xbrl.sec.gov/dei/2023/dei-2023.xsd#dei_Security12bTitle"/>
    <link:presentationArc order="18" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_95c7bdb1-4d79-4ec4-8004-582da3dd0b8a" xlink:to="loc_dei_Security12bTitle_b30b7cff-0129-4eb2-8198-bff90d2d685e" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_TradingSymbol_733e77f9-3f3b-492a-8a52-2aca93cd1e13" xlink:href="https://xbrl.sec.gov/dei/2023/dei-2023.xsd#dei_TradingSymbol"/>
    <link:presentationArc order="19" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_95c7bdb1-4d79-4ec4-8004-582da3dd0b8a" xlink:to="loc_dei_TradingSymbol_733e77f9-3f3b-492a-8a52-2aca93cd1e13" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_SecurityExchangeName_6629268e-df2e-463c-829f-0ab8fc703daf" xlink:href="https://xbrl.sec.gov/dei/2023/dei-2023.xsd#dei_SecurityExchangeName"/>
    <link:presentationArc order="20" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_95c7bdb1-4d79-4ec4-8004-582da3dd0b8a" xlink:to="loc_dei_SecurityExchangeName_6629268e-df2e-463c-829f-0ab8fc703daf" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityEmergingGrowthCompany_e0db40e9-5902-468d-a7b2-dbdff7028537" xlink:href="https://xbrl.sec.gov/dei/2023/dei-2023.xsd#dei_EntityEmergingGrowthCompany"/>
    <link:presentationArc order="21" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_95c7bdb1-4d79-4ec4-8004-582da3dd0b8a" xlink:to="loc_dei_EntityEmergingGrowthCompany_e0db40e9-5902-468d-a7b2-dbdff7028537" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityCentralIndexKey_1ff07f04-43cf-42ee-8fe4-00026222d5bc" xlink:href="https://xbrl.sec.gov/dei/2023/dei-2023.xsd#dei_EntityCentralIndexKey"/>
    <link:presentationArc order="22" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_95c7bdb1-4d79-4ec4-8004-582da3dd0b8a" xlink:to="loc_dei_EntityCentralIndexKey_1ff07f04-43cf-42ee-8fe4-00026222d5bc" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_AmendmentFlag_a22de7f0-7698-448d-9760-426e2c31dfde" xlink:href="https://xbrl.sec.gov/dei/2023/dei-2023.xsd#dei_AmendmentFlag"/>
    <link:presentationArc order="23" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_95c7bdb1-4d79-4ec4-8004-582da3dd0b8a" xlink:to="loc_dei_AmendmentFlag_a22de7f0-7698-448d-9760-426e2c31dfde" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
</link:linkbase>
