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

<!--XBRL Document Created with the Workiva Platform-->
<!--Copyright 2026 Workiva-->
<!--r:019cc4e7-32c7-736a-abcd-04c8eb4c84e6,g:7e9106c0-49b6-475e-ae41-f2b87b3f04e6-->
<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" xmlns:xbrldt="http://xbrl.org/2005/xbrldt" xsi:schemaLocation="http://www.xbrl.org/2003/linkbase http://www.xbrl.org/2003/xbrl-linkbase-2003-12-31.xsd">
  <link:arcroleRef arcroleURI="http://xbrl.org/int/dim/arcrole/all" xlink:type="simple" xlink:href="http://www.xbrl.org/2005/xbrldt-2005.xsd#all"/>
  <link:arcroleRef arcroleURI="http://xbrl.org/int/dim/arcrole/hypercube-dimension" xlink:type="simple" xlink:href="http://www.xbrl.org/2005/xbrldt-2005.xsd#hypercube-dimension"/>
  <link:arcroleRef arcroleURI="http://xbrl.org/int/dim/arcrole/dimension-default" xlink:type="simple" xlink:href="http://www.xbrl.org/2005/xbrldt-2005.xsd#dimension-default"/>
  <link:arcroleRef arcroleURI="http://xbrl.org/int/dim/arcrole/dimension-domain" xlink:type="simple" xlink:href="http://www.xbrl.org/2005/xbrldt-2005.xsd#dimension-domain"/>
  <link:arcroleRef arcroleURI="http://xbrl.org/int/dim/arcrole/domain-member" xlink:type="simple" xlink:href="http://www.xbrl.org/2005/xbrldt-2005.xsd#domain-member"/>
  <link:roleRef roleURI="http://greenidgellc.com/role/Cover" xlink:type="simple" xlink:href="gree-20260305.xsd#Cover"/>
  <link:definitionLink xlink:role="http://greenidgellc.com/role/Cover" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityListingsLineItems_019cc4e7-32c7-735a-bf73-06afbb7d3746" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_EntityListingsLineItems"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityListingsTable_019cc4e7-32c7-7943-bba9-ee04b9999d86" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_EntityListingsTable"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/all" xlink:from="loc_dei_EntityListingsLineItems_019cc4e7-32c7-735a-bf73-06afbb7d3746" xlink:to="loc_dei_EntityListingsTable_019cc4e7-32c7-7943-bba9-ee04b9999d86" xlink:type="arc" order="1" xbrldt:closed="true" xbrldt:contextElement="segment"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StatementClassOfStockAxis_019cc4e7-32c7-7f80-a4db-fe5fbe602ec4" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_StatementClassOfStockAxis"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/hypercube-dimension" xlink:from="loc_dei_EntityListingsTable_019cc4e7-32c7-7943-bba9-ee04b9999d86" xlink:to="loc_us-gaap_StatementClassOfStockAxis_019cc4e7-32c7-7f80-a4db-fe5fbe602ec4" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ClassOfStockDomain_019cc4e7-32c7-7f80-a4db-fe5fbe602ec4_default" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_ClassOfStockDomain"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/dimension-default" xlink:from="loc_us-gaap_StatementClassOfStockAxis_019cc4e7-32c7-7f80-a4db-fe5fbe602ec4" xlink:to="loc_us-gaap_ClassOfStockDomain_019cc4e7-32c7-7f80-a4db-fe5fbe602ec4_default" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ClassOfStockDomain_019cc4e7-32c7-78da-b077-ee3fa708bd34" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_ClassOfStockDomain"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/dimension-domain" xlink:from="loc_us-gaap_StatementClassOfStockAxis_019cc4e7-32c7-7f80-a4db-fe5fbe602ec4" xlink:to="loc_us-gaap_ClassOfStockDomain_019cc4e7-32c7-78da-b077-ee3fa708bd34" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CommonClassAMember_019cc4e7-32c7-7044-96f7-19104c6ee979" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_CommonClassAMember"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_ClassOfStockDomain_019cc4e7-32c7-78da-b077-ee3fa708bd34" xlink:to="loc_us-gaap_CommonClassAMember_019cc4e7-32c7-7044-96f7-19104c6ee979" xlink:type="arc" order="0"/>
    <link:loc xlink:type="locator" xlink:label="loc_gree_SeniorNotesDue2026850Member_019cc4e7-32c7-76c7-88ea-067cc75705f1" xlink:href="gree-20260305.xsd#gree_SeniorNotesDue2026850Member"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_ClassOfStockDomain_019cc4e7-32c7-78da-b077-ee3fa708bd34" xlink:to="loc_gree_SeniorNotesDue2026850Member_019cc4e7-32c7-76c7-88ea-067cc75705f1" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentType_019cc4e7-32c7-7ed8-94fa-6dfb81b90a79" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_DocumentType"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_dei_EntityListingsLineItems_019cc4e7-32c7-735a-bf73-06afbb7d3746" xlink:to="loc_dei_DocumentType_019cc4e7-32c7-7ed8-94fa-6dfb81b90a79" xlink:type="arc" order="0"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentPeriodEndDate_019cc4e7-32c7-7377-91c0-9cf2fd02c8a3" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_DocumentPeriodEndDate"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_dei_EntityListingsLineItems_019cc4e7-32c7-735a-bf73-06afbb7d3746" xlink:to="loc_dei_DocumentPeriodEndDate_019cc4e7-32c7-7377-91c0-9cf2fd02c8a3" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityRegistrantName_019cc4e7-32c7-755b-9661-140714bb5f24" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_EntityRegistrantName"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_dei_EntityListingsLineItems_019cc4e7-32c7-735a-bf73-06afbb7d3746" xlink:to="loc_dei_EntityRegistrantName_019cc4e7-32c7-755b-9661-140714bb5f24" xlink:type="arc" order="2"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityIncorporationStateCountryCode_019cc4e7-32c7-701d-8a76-37c96f23abda" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_EntityIncorporationStateCountryCode"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_dei_EntityListingsLineItems_019cc4e7-32c7-735a-bf73-06afbb7d3746" xlink:to="loc_dei_EntityIncorporationStateCountryCode_019cc4e7-32c7-701d-8a76-37c96f23abda" xlink:type="arc" order="3"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityFileNumber_019cc4e7-32c7-77bc-bede-32a68c56a38a" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_EntityFileNumber"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_dei_EntityListingsLineItems_019cc4e7-32c7-735a-bf73-06afbb7d3746" xlink:to="loc_dei_EntityFileNumber_019cc4e7-32c7-77bc-bede-32a68c56a38a" xlink:type="arc" order="4"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityTaxIdentificationNumber_019cc4e7-32c7-744e-ae94-c5d674e31d6d" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_EntityTaxIdentificationNumber"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_dei_EntityListingsLineItems_019cc4e7-32c7-735a-bf73-06afbb7d3746" xlink:to="loc_dei_EntityTaxIdentificationNumber_019cc4e7-32c7-744e-ae94-c5d674e31d6d" xlink:type="arc" order="5"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressAddressLine1_019cc4e7-32c7-77eb-8d65-7d900e20e788" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_EntityAddressAddressLine1"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_dei_EntityListingsLineItems_019cc4e7-32c7-735a-bf73-06afbb7d3746" xlink:to="loc_dei_EntityAddressAddressLine1_019cc4e7-32c7-77eb-8d65-7d900e20e788" xlink:type="arc" order="6"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressAddressLine2_019cc4e7-32c7-7a00-af7c-2ea17a48a3ef" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_EntityAddressAddressLine2"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_dei_EntityListingsLineItems_019cc4e7-32c7-735a-bf73-06afbb7d3746" xlink:to="loc_dei_EntityAddressAddressLine2_019cc4e7-32c7-7a00-af7c-2ea17a48a3ef" xlink:type="arc" order="7"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressCityOrTown_019cc4e7-32c7-78c2-86c7-48dca822175e" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_EntityAddressCityOrTown"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_dei_EntityListingsLineItems_019cc4e7-32c7-735a-bf73-06afbb7d3746" xlink:to="loc_dei_EntityAddressCityOrTown_019cc4e7-32c7-78c2-86c7-48dca822175e" xlink:type="arc" order="8"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressStateOrProvince_019cc4e7-32c7-7c18-b412-e8a256e1969a" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_EntityAddressStateOrProvince"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_dei_EntityListingsLineItems_019cc4e7-32c7-735a-bf73-06afbb7d3746" xlink:to="loc_dei_EntityAddressStateOrProvince_019cc4e7-32c7-7c18-b412-e8a256e1969a" xlink:type="arc" order="9"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressPostalZipCode_019cc4e7-32c7-716c-be5d-54603f6f8ccc" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_EntityAddressPostalZipCode"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_dei_EntityListingsLineItems_019cc4e7-32c7-735a-bf73-06afbb7d3746" xlink:to="loc_dei_EntityAddressPostalZipCode_019cc4e7-32c7-716c-be5d-54603f6f8ccc" xlink:type="arc" order="10"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_CityAreaCode_019cc4e7-32c7-7cbf-9315-f7c02119f025" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_CityAreaCode"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_dei_EntityListingsLineItems_019cc4e7-32c7-735a-bf73-06afbb7d3746" xlink:to="loc_dei_CityAreaCode_019cc4e7-32c7-7cbf-9315-f7c02119f025" xlink:type="arc" order="11"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_LocalPhoneNumber_019cc4e7-32c7-7ff6-8d87-bb4e86092fb9" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_LocalPhoneNumber"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_dei_EntityListingsLineItems_019cc4e7-32c7-735a-bf73-06afbb7d3746" xlink:to="loc_dei_LocalPhoneNumber_019cc4e7-32c7-7ff6-8d87-bb4e86092fb9" xlink:type="arc" order="12"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_WrittenCommunications_019cc4e7-32c7-7426-8783-5f135d71b0f9" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_WrittenCommunications"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_dei_EntityListingsLineItems_019cc4e7-32c7-735a-bf73-06afbb7d3746" xlink:to="loc_dei_WrittenCommunications_019cc4e7-32c7-7426-8783-5f135d71b0f9" xlink:type="arc" order="13"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_SolicitingMaterial_019cc4e7-32c7-7247-ad65-69eca8d3f202" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_SolicitingMaterial"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_dei_EntityListingsLineItems_019cc4e7-32c7-735a-bf73-06afbb7d3746" xlink:to="loc_dei_SolicitingMaterial_019cc4e7-32c7-7247-ad65-69eca8d3f202" xlink:type="arc" order="14"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_PreCommencementTenderOffer_019cc4e7-32c7-7959-9ad9-3bcf555b458e" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_PreCommencementTenderOffer"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_dei_EntityListingsLineItems_019cc4e7-32c7-735a-bf73-06afbb7d3746" xlink:to="loc_dei_PreCommencementTenderOffer_019cc4e7-32c7-7959-9ad9-3bcf555b458e" xlink:type="arc" order="15"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_PreCommencementIssuerTenderOffer_019cc4e7-32c7-781b-b190-e37b78c71e7c" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_PreCommencementIssuerTenderOffer"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_dei_EntityListingsLineItems_019cc4e7-32c7-735a-bf73-06afbb7d3746" xlink:to="loc_dei_PreCommencementIssuerTenderOffer_019cc4e7-32c7-781b-b190-e37b78c71e7c" xlink:type="arc" order="16"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_Security12bTitle_019cc4e7-32c7-72e2-9944-abb877d73b41" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_Security12bTitle"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_dei_EntityListingsLineItems_019cc4e7-32c7-735a-bf73-06afbb7d3746" xlink:to="loc_dei_Security12bTitle_019cc4e7-32c7-72e2-9944-abb877d73b41" xlink:type="arc" order="17"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_TradingSymbol_019cc4e7-32c7-7e8e-a447-56666f66b174" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_TradingSymbol"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_dei_EntityListingsLineItems_019cc4e7-32c7-735a-bf73-06afbb7d3746" xlink:to="loc_dei_TradingSymbol_019cc4e7-32c7-7e8e-a447-56666f66b174" xlink:type="arc" order="18"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_SecurityExchangeName_019cc4e7-32c7-7181-98ae-b0ddf0b95621" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_SecurityExchangeName"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_dei_EntityListingsLineItems_019cc4e7-32c7-735a-bf73-06afbb7d3746" xlink:to="loc_dei_SecurityExchangeName_019cc4e7-32c7-7181-98ae-b0ddf0b95621" xlink:type="arc" order="19"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityEmergingGrowthCompany_019cc4e7-32c7-7c3d-8339-aa18601929ed" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_EntityEmergingGrowthCompany"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_dei_EntityListingsLineItems_019cc4e7-32c7-735a-bf73-06afbb7d3746" xlink:to="loc_dei_EntityEmergingGrowthCompany_019cc4e7-32c7-7c3d-8339-aa18601929ed" xlink:type="arc" order="20"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityExTransitionPeriod_019cc4e7-32c7-7a0f-81cd-5c35225a2a92" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_EntityExTransitionPeriod"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_dei_EntityListingsLineItems_019cc4e7-32c7-735a-bf73-06afbb7d3746" xlink:to="loc_dei_EntityExTransitionPeriod_019cc4e7-32c7-7a0f-81cd-5c35225a2a92" xlink:type="arc" order="21"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_AmendmentFlag_019cc4e7-32c7-7420-8034-5bd4ea6fb5cb" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_AmendmentFlag"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_dei_EntityListingsLineItems_019cc4e7-32c7-735a-bf73-06afbb7d3746" xlink:to="loc_dei_AmendmentFlag_019cc4e7-32c7-7420-8034-5bd4ea6fb5cb" xlink:type="arc" order="22"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityCentralIndexKey_019cc4e7-32c7-74f3-ad00-f4a5928495cb" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_EntityCentralIndexKey"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_dei_EntityListingsLineItems_019cc4e7-32c7-735a-bf73-06afbb7d3746" xlink:to="loc_dei_EntityCentralIndexKey_019cc4e7-32c7-74f3-ad00-f4a5928495cb" xlink:type="arc" order="23"/>
  </link:definitionLink>
</link:linkbase>
