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

<!--XBRL Document Created with the Workiva Platform-->
<!--Copyright 2026 Workiva-->
<!--r:01a00f5f-1816-78aa-87e8-a50804ed8db3,g:c9e46b75-5acd-4caa-ab82-21020ea5aaf1-->
<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-20260817.xsd#Cover"/>
  <link:definitionLink xlink:role="http://greenidgellc.com/role/Cover" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityListingsLineItems_01a00f5f-1816-7bd8-b126-3b59807ebf08" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_EntityListingsLineItems"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityListingsTable_01a00f5f-1816-7a89-a2f6-fd9a1580c009" 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_01a00f5f-1816-7bd8-b126-3b59807ebf08" xlink:to="loc_dei_EntityListingsTable_01a00f5f-1816-7a89-a2f6-fd9a1580c009" xlink:type="arc" order="1" xbrldt:closed="true" xbrldt:contextElement="segment"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StatementClassOfStockAxis_01a00f5f-1816-7369-8985-21f565c049b7" 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_01a00f5f-1816-7a89-a2f6-fd9a1580c009" xlink:to="loc_us-gaap_StatementClassOfStockAxis_01a00f5f-1816-7369-8985-21f565c049b7" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ClassOfStockDomain_01a00f5f-1816-7369-8985-21f565c049b7_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_01a00f5f-1816-7369-8985-21f565c049b7" xlink:to="loc_us-gaap_ClassOfStockDomain_01a00f5f-1816-7369-8985-21f565c049b7_default" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ClassOfStockDomain_01a00f5f-1816-76b6-bc3d-6610f3faf720" 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_01a00f5f-1816-7369-8985-21f565c049b7" xlink:to="loc_us-gaap_ClassOfStockDomain_01a00f5f-1816-76b6-bc3d-6610f3faf720" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CommonClassAMember_01a00f5f-1816-7e39-8a64-3e3c3f99407c" 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_01a00f5f-1816-76b6-bc3d-6610f3faf720" xlink:to="loc_us-gaap_CommonClassAMember_01a00f5f-1816-7e39-8a64-3e3c3f99407c" xlink:type="arc" order="0"/>
    <link:loc xlink:type="locator" xlink:label="loc_gree_SeniorNotesDue2026850Member_01a00f5f-1816-727e-9098-b13f1dd2d254" xlink:href="gree-20260817.xsd#gree_SeniorNotesDue2026850Member"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_ClassOfStockDomain_01a00f5f-1816-76b6-bc3d-6610f3faf720" xlink:to="loc_gree_SeniorNotesDue2026850Member_01a00f5f-1816-727e-9098-b13f1dd2d254" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentType_01a00f5f-1816-7fe8-b652-a31220e4644b" 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_01a00f5f-1816-7bd8-b126-3b59807ebf08" xlink:to="loc_dei_DocumentType_01a00f5f-1816-7fe8-b652-a31220e4644b" xlink:type="arc" order="0"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentPeriodEndDate_01a00f5f-1816-7781-9399-9464fae56ac5" 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_01a00f5f-1816-7bd8-b126-3b59807ebf08" xlink:to="loc_dei_DocumentPeriodEndDate_01a00f5f-1816-7781-9399-9464fae56ac5" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityRegistrantName_01a00f5f-1816-7b32-a3aa-39fa420b9a7b" 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_01a00f5f-1816-7bd8-b126-3b59807ebf08" xlink:to="loc_dei_EntityRegistrantName_01a00f5f-1816-7b32-a3aa-39fa420b9a7b" xlink:type="arc" order="2"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityIncorporationStateCountryCode_01a00f5f-1816-7d23-a7a3-6e4558b41053" 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_01a00f5f-1816-7bd8-b126-3b59807ebf08" xlink:to="loc_dei_EntityIncorporationStateCountryCode_01a00f5f-1816-7d23-a7a3-6e4558b41053" xlink:type="arc" order="3"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityFileNumber_01a00f5f-1816-7623-8800-724ac6afbbad" 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_01a00f5f-1816-7bd8-b126-3b59807ebf08" xlink:to="loc_dei_EntityFileNumber_01a00f5f-1816-7623-8800-724ac6afbbad" xlink:type="arc" order="4"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityTaxIdentificationNumber_01a00f5f-1816-74db-bc7b-9d53679d210d" 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_01a00f5f-1816-7bd8-b126-3b59807ebf08" xlink:to="loc_dei_EntityTaxIdentificationNumber_01a00f5f-1816-74db-bc7b-9d53679d210d" xlink:type="arc" order="5"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressAddressLine1_01a00f5f-1816-7297-b5c8-61e11404bef6" 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_01a00f5f-1816-7bd8-b126-3b59807ebf08" xlink:to="loc_dei_EntityAddressAddressLine1_01a00f5f-1816-7297-b5c8-61e11404bef6" xlink:type="arc" order="6"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressAddressLine2_01a00f5f-1816-7d67-9d0d-e8cfad2b5094" 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_01a00f5f-1816-7bd8-b126-3b59807ebf08" xlink:to="loc_dei_EntityAddressAddressLine2_01a00f5f-1816-7d67-9d0d-e8cfad2b5094" xlink:type="arc" order="7"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressCityOrTown_01a00f5f-1816-7b31-b169-50cefef7b9ee" 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_01a00f5f-1816-7bd8-b126-3b59807ebf08" xlink:to="loc_dei_EntityAddressCityOrTown_01a00f5f-1816-7b31-b169-50cefef7b9ee" xlink:type="arc" order="8"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressStateOrProvince_01a00f5f-1816-7b8f-96ec-7842a2155997" 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_01a00f5f-1816-7bd8-b126-3b59807ebf08" xlink:to="loc_dei_EntityAddressStateOrProvince_01a00f5f-1816-7b8f-96ec-7842a2155997" xlink:type="arc" order="9"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressPostalZipCode_01a00f5f-1816-7202-9d81-020b8304bd4f" 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_01a00f5f-1816-7bd8-b126-3b59807ebf08" xlink:to="loc_dei_EntityAddressPostalZipCode_01a00f5f-1816-7202-9d81-020b8304bd4f" xlink:type="arc" order="10"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_CityAreaCode_01a00f5f-1816-744b-acfd-fb9d7e016c47" 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_01a00f5f-1816-7bd8-b126-3b59807ebf08" xlink:to="loc_dei_CityAreaCode_01a00f5f-1816-744b-acfd-fb9d7e016c47" xlink:type="arc" order="11"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_LocalPhoneNumber_01a00f5f-1816-7980-a41c-04c0ad1f7431" 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_01a00f5f-1816-7bd8-b126-3b59807ebf08" xlink:to="loc_dei_LocalPhoneNumber_01a00f5f-1816-7980-a41c-04c0ad1f7431" xlink:type="arc" order="12"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_WrittenCommunications_01a00f5f-1816-76d8-b99f-5f71696ad0a2" 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_01a00f5f-1816-7bd8-b126-3b59807ebf08" xlink:to="loc_dei_WrittenCommunications_01a00f5f-1816-76d8-b99f-5f71696ad0a2" xlink:type="arc" order="13"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_SolicitingMaterial_01a00f5f-1816-7fe7-b667-d4f727b5a3cc" 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_01a00f5f-1816-7bd8-b126-3b59807ebf08" xlink:to="loc_dei_SolicitingMaterial_01a00f5f-1816-7fe7-b667-d4f727b5a3cc" xlink:type="arc" order="14"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_PreCommencementTenderOffer_01a00f5f-1816-759d-a67b-adf706188031" 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_01a00f5f-1816-7bd8-b126-3b59807ebf08" xlink:to="loc_dei_PreCommencementTenderOffer_01a00f5f-1816-759d-a67b-adf706188031" xlink:type="arc" order="15"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_PreCommencementIssuerTenderOffer_01a00f5f-1816-78a9-8ce0-de2ae36d1ea2" 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_01a00f5f-1816-7bd8-b126-3b59807ebf08" xlink:to="loc_dei_PreCommencementIssuerTenderOffer_01a00f5f-1816-78a9-8ce0-de2ae36d1ea2" xlink:type="arc" order="16"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_Security12bTitle_01a00f5f-1816-774b-90de-d289909b3371" 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_01a00f5f-1816-7bd8-b126-3b59807ebf08" xlink:to="loc_dei_Security12bTitle_01a00f5f-1816-774b-90de-d289909b3371" xlink:type="arc" order="17"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_TradingSymbol_01a00f5f-1816-763b-979d-b81df5507008" 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_01a00f5f-1816-7bd8-b126-3b59807ebf08" xlink:to="loc_dei_TradingSymbol_01a00f5f-1816-763b-979d-b81df5507008" xlink:type="arc" order="18"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_SecurityExchangeName_01a00f5f-1816-7c11-8ee2-f0785a4b20aa" 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_01a00f5f-1816-7bd8-b126-3b59807ebf08" xlink:to="loc_dei_SecurityExchangeName_01a00f5f-1816-7c11-8ee2-f0785a4b20aa" xlink:type="arc" order="19"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityEmergingGrowthCompany_01a00f5f-1816-75ca-b5e7-d3ee5bd62b27" 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_01a00f5f-1816-7bd8-b126-3b59807ebf08" xlink:to="loc_dei_EntityEmergingGrowthCompany_01a00f5f-1816-75ca-b5e7-d3ee5bd62b27" xlink:type="arc" order="20"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityExTransitionPeriod_01a00f5f-1816-793b-a9ad-3a05520374f5" 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_01a00f5f-1816-7bd8-b126-3b59807ebf08" xlink:to="loc_dei_EntityExTransitionPeriod_01a00f5f-1816-793b-a9ad-3a05520374f5" xlink:type="arc" order="21"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_AmendmentFlag_01a00f5f-1816-703d-8510-926303fc9c1c" 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_01a00f5f-1816-7bd8-b126-3b59807ebf08" xlink:to="loc_dei_AmendmentFlag_01a00f5f-1816-703d-8510-926303fc9c1c" xlink:type="arc" order="22"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityCentralIndexKey_01a00f5f-1816-78a8-aa2a-a364433722ac" 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_01a00f5f-1816-7bd8-b126-3b59807ebf08" xlink:to="loc_dei_EntityCentralIndexKey_01a00f5f-1816-78a8-aa2a-a364433722ac" xlink:type="arc" order="23"/>
  </link:definitionLink>
</link:linkbase>
