<?xml version="1.0" encoding="US-ASCII" standalone="no"?>
    <!-- Field: Doc-Info; Name: Generator; Value: QXInteractive; Version: 4.26a -->
    <!-- Field: Doc-Info; Name: Source; Value: 195641 09302019 10K.xfr; Date: 2019%2D12%2D16T17:45:58Z -->
    <!-- Field: Doc-Info; Name: Status; Value: 0x00000000 -->
<link:linkbase xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:link="http://www.xbrl.org/2003/linkbase" xmlns:xbrli="http://www.xbrl.org/2003/instance" xsi:schemaLocation="http://www.xbrl.org/2003/linkbase http://www.xbrl.org/2003/xbrl-linkbase-2003-12-31.xsd">
    <link:roleRef roleURI="http://cel-sci.com/role/DocumentAndEntityInformation" xlink:href="cvm-20190930.xsd#DocumentAndEntityInformation" xlink:type="simple" />
    <link:roleRef roleURI="http://cel-sci.com/role/BalanceSheets" xlink:href="cvm-20190930.xsd#BalanceSheets" xlink:type="simple" />
    <link:roleRef roleURI="http://cel-sci.com/role/BalanceSheetsParenthetical" xlink:href="cvm-20190930.xsd#BalanceSheetsParenthetical" xlink:type="simple" />
    <link:roleRef roleURI="http://cel-sci.com/role/StatementsOfOperations" xlink:href="cvm-20190930.xsd#StatementsOfOperations" xlink:type="simple" />
    <link:roleRef roleURI="http://cel-sci.com/role/StatementsOfStockholdersEquity" xlink:href="cvm-20190930.xsd#StatementsOfStockholdersEquity" xlink:type="simple" />
    <link:roleRef roleURI="http://cel-sci.com/role/StatementsOfCashFlows" xlink:href="cvm-20190930.xsd#StatementsOfCashFlows" xlink:type="simple" />
    <link:roleRef roleURI="http://cel-sci.com/role/Organization" xlink:href="cvm-20190930.xsd#Organization" xlink:type="simple" />
    <link:roleRef roleURI="http://cel-sci.com/role/OperationsAndFinancing" xlink:href="cvm-20190930.xsd#OperationsAndFinancing" xlink:type="simple" />
    <link:roleRef roleURI="http://cel-sci.com/role/RevisionOfPriorPeriodFinancialStatementsForCorrectionOfImmaterialErrors" xlink:href="cvm-20190930.xsd#RevisionOfPriorPeriodFinancialStatementsForCorrectionOfImmaterialErrors" xlink:type="simple" />
    <link:roleRef roleURI="http://cel-sci.com/role/SummaryOfSignificantAccountingPolicies" xlink:href="cvm-20190930.xsd#SummaryOfSignificantAccountingPolicies" xlink:type="simple" />
    <link:roleRef roleURI="http://cel-sci.com/role/WarrantsAndNon-employeeOptions" xlink:href="cvm-20190930.xsd#WarrantsAndNon-employeeOptions" xlink:type="simple" />
    <link:roleRef roleURI="http://cel-sci.com/role/PlantPropertyAndEquipment" xlink:href="cvm-20190930.xsd#PlantPropertyAndEquipment" xlink:type="simple" />
    <link:roleRef roleURI="http://cel-sci.com/role/Patents" xlink:href="cvm-20190930.xsd#Patents" xlink:type="simple" />
    <link:roleRef roleURI="http://cel-sci.com/role/NotesPayable" xlink:href="cvm-20190930.xsd#NotesPayable" xlink:type="simple" />
    <link:roleRef roleURI="http://cel-sci.com/role/IncomeTaxes" xlink:href="cvm-20190930.xsd#IncomeTaxes" xlink:type="simple" />
    <link:roleRef roleURI="http://cel-sci.com/role/StockCompensation" xlink:href="cvm-20190930.xsd#StockCompensation" xlink:type="simple" />
    <link:roleRef roleURI="http://cel-sci.com/role/EmployeeBenefitPlan" xlink:href="cvm-20190930.xsd#EmployeeBenefitPlan" xlink:type="simple" />
    <link:roleRef roleURI="http://cel-sci.com/role/CommitmentsAndContingencies" xlink:href="cvm-20190930.xsd#CommitmentsAndContingencies" xlink:type="simple" />
    <link:roleRef roleURI="http://cel-sci.com/role/RelatedPartyTransactions" xlink:href="cvm-20190930.xsd#RelatedPartyTransactions" xlink:type="simple" />
    <link:roleRef roleURI="http://cel-sci.com/role/StockholdersEquity" xlink:href="cvm-20190930.xsd#StockholdersEquity" xlink:type="simple" />
    <link:roleRef roleURI="http://cel-sci.com/role/FairValueMeasurements" xlink:href="cvm-20190930.xsd#FairValueMeasurements" xlink:type="simple" />
    <link:roleRef roleURI="http://cel-sci.com/role/NetLossPerCommonShare" xlink:href="cvm-20190930.xsd#NetLossPerCommonShare" xlink:type="simple" />
    <link:roleRef roleURI="http://cel-sci.com/role/SubsequentEvents" xlink:href="cvm-20190930.xsd#SubsequentEvents" xlink:type="simple" />
    <link:roleRef roleURI="http://cel-sci.com/role/SummaryOfSignificantAccountingPoliciesPolicies" xlink:href="cvm-20190930.xsd#SummaryOfSignificantAccountingPoliciesPolicies" xlink:type="simple" />
    <link:roleRef roleURI="http://cel-sci.com/role/RevisionOfPriorPeriodFinancialStatementsForCorrectionOfImmaterialErrorsTables" xlink:href="cvm-20190930.xsd#RevisionOfPriorPeriodFinancialStatementsForCorrectionOfImmaterialErrorsTables" xlink:type="simple" />
    <link:roleRef roleURI="http://cel-sci.com/role/DerivativesLiabilitiesWarrantsAndOtherOptionsTables" xlink:href="cvm-20190930.xsd#DerivativesLiabilitiesWarrantsAndOtherOptionsTables" xlink:type="simple" />
    <link:roleRef roleURI="http://cel-sci.com/role/PlantPropertyAndEquipmentTables" xlink:href="cvm-20190930.xsd#PlantPropertyAndEquipmentTables" xlink:type="simple" />
    <link:roleRef roleURI="http://cel-sci.com/role/PatentsTables" xlink:href="cvm-20190930.xsd#PatentsTables" xlink:type="simple" />
    <link:roleRef roleURI="http://cel-sci.com/role/IncomeTaxesTables" xlink:href="cvm-20190930.xsd#IncomeTaxesTables" xlink:type="simple" />
    <link:roleRef roleURI="http://cel-sci.com/role/StockCompensationTables" xlink:href="cvm-20190930.xsd#StockCompensationTables" xlink:type="simple" />
    <link:roleRef roleURI="http://cel-sci.com/role/CommitmentsAndContingenciesTables" xlink:href="cvm-20190930.xsd#CommitmentsAndContingenciesTables" xlink:type="simple" />
    <link:roleRef roleURI="http://cel-sci.com/role/FairValueMeasurementsTables" xlink:href="cvm-20190930.xsd#FairValueMeasurementsTables" xlink:type="simple" />
    <link:roleRef roleURI="http://cel-sci.com/role/NetLossPerCommonShareTables" xlink:href="cvm-20190930.xsd#NetLossPerCommonShareTables" xlink:type="simple" />
    <link:roleRef roleURI="http://cel-sci.com/role/RevisionOfPriorPeriodFinancialStatementsForCorrectionOfImmaterialErrorsDetails" xlink:href="cvm-20190930.xsd#RevisionOfPriorPeriodFinancialStatementsForCorrectionOfImmaterialErrorsDetails" xlink:type="simple" />
    <link:roleRef roleURI="http://cel-sci.com/role/SummaryOfSignificantAccountingPoliciesDetailsNarrative" xlink:href="cvm-20190930.xsd#SummaryOfSignificantAccountingPoliciesDetailsNarrative" xlink:type="simple" />
    <link:roleRef roleURI="http://cel-sci.com/role/WarrantsAndNon-employeeOptionsDetails" xlink:href="cvm-20190930.xsd#WarrantsAndNon-employeeOptionsDetails" xlink:type="simple" />
    <link:roleRef roleURI="http://cel-sci.com/role/WarrantsAndNon-employeeOptionsDetails1" xlink:href="cvm-20190930.xsd#WarrantsAndNon-employeeOptionsDetails1" xlink:type="simple" />
    <link:roleRef roleURI="http://cel-sci.com/role/WarrantsAndNon-employeeOptionsDetails2" xlink:href="cvm-20190930.xsd#WarrantsAndNon-employeeOptionsDetails2" xlink:type="simple" />
    <link:roleRef roleURI="http://cel-sci.com/role/WarrantsAndNon-employeeOptionsDetails3" xlink:href="cvm-20190930.xsd#WarrantsAndNon-employeeOptionsDetails3" xlink:type="simple" />
    <link:roleRef roleURI="http://cel-sci.com/role/PlantPropertyAndEquipmentDetails" xlink:href="cvm-20190930.xsd#PlantPropertyAndEquipmentDetails" xlink:type="simple" />
    <link:roleRef roleURI="http://cel-sci.com/role/PlantPropertyAndEquipmentDetailsNarrative" xlink:href="cvm-20190930.xsd#PlantPropertyAndEquipmentDetailsNarrative" xlink:type="simple" />
    <link:roleRef roleURI="http://cel-sci.com/role/PatentsDetails" xlink:href="cvm-20190930.xsd#PatentsDetails" xlink:type="simple" />
    <link:roleRef roleURI="http://cel-sci.com/role/PatentsDetails1" xlink:href="cvm-20190930.xsd#PatentsDetails1" xlink:type="simple" />
    <link:roleRef roleURI="http://cel-sci.com/role/PatentsDetailsNarrative" xlink:href="cvm-20190930.xsd#PatentsDetailsNarrative" xlink:type="simple" />
    <link:roleRef roleURI="http://cel-sci.com/role/IncomeTaxesDetails" xlink:href="cvm-20190930.xsd#IncomeTaxesDetails" xlink:type="simple" />
    <link:roleRef roleURI="http://cel-sci.com/role/IncomeTaxesDetails1" xlink:href="cvm-20190930.xsd#IncomeTaxesDetails1" xlink:type="simple" />
    <link:roleRef roleURI="http://cel-sci.com/role/StockCompensationDetails" xlink:href="cvm-20190930.xsd#StockCompensationDetails" xlink:type="simple" />
    <link:roleRef roleURI="http://cel-sci.com/role/StockCompensationDetails1" xlink:href="cvm-20190930.xsd#StockCompensationDetails1" xlink:type="simple" />
    <link:roleRef roleURI="http://cel-sci.com/role/StockCompensationDetails2" xlink:href="cvm-20190930.xsd#StockCompensationDetails2" xlink:type="simple" />
    <link:roleRef roleURI="http://cel-sci.com/role/StockCompensationDetails3" xlink:href="cvm-20190930.xsd#StockCompensationDetails3" xlink:type="simple" />
    <link:roleRef roleURI="http://cel-sci.com/role/StockCompensationDetails4" xlink:href="cvm-20190930.xsd#StockCompensationDetails4" xlink:type="simple" />
    <link:roleRef roleURI="http://cel-sci.com/role/StockCompensationDetailsNarrative" xlink:href="cvm-20190930.xsd#StockCompensationDetailsNarrative" xlink:type="simple" />
    <link:roleRef roleURI="http://cel-sci.com/role/EmployeeBenefitPlanDetailNarrative" xlink:href="cvm-20190930.xsd#EmployeeBenefitPlanDetailNarrative" xlink:type="simple" />
    <link:roleRef roleURI="http://cel-sci.com/role/CommitmentsAndContingenciesDetails" xlink:href="cvm-20190930.xsd#CommitmentsAndContingenciesDetails" xlink:type="simple" />
    <link:roleRef roleURI="http://cel-sci.com/role/CommitmentsAndContingenciesDetails1" xlink:href="cvm-20190930.xsd#CommitmentsAndContingenciesDetails1" xlink:type="simple" />
    <link:roleRef roleURI="http://cel-sci.com/role/CommitmentsAndContingenciesDetailsNarrative" xlink:href="cvm-20190930.xsd#CommitmentsAndContingenciesDetailsNarrative" xlink:type="simple" />
    <link:roleRef roleURI="http://cel-sci.com/role/FairValueMeasurementsDetails" xlink:href="cvm-20190930.xsd#FairValueMeasurementsDetails" xlink:type="simple" />
    <link:roleRef roleURI="http://cel-sci.com/role/FairValueMeasurementsDetails1" xlink:href="cvm-20190930.xsd#FairValueMeasurementsDetails1" xlink:type="simple" />
    <link:roleRef roleURI="http://cel-sci.com/role/NetLossPerCommonShareDetails" xlink:href="cvm-20190930.xsd#NetLossPerCommonShareDetails" xlink:type="simple" />
    <link:roleRef roleURI="http://cel-sci.com/role/NetLossPerCommonShareDetails1" xlink:href="cvm-20190930.xsd#NetLossPerCommonShareDetails1" xlink:type="simple" />
    <link:calculationLink xlink:type="extended" xlink:role="http://cel-sci.com/role/DocumentAndEntityInformation" xlink:title="00000001 - Document - Document and Entity Information" />
    <link:calculationLink xlink:type="extended" xlink:role="http://cel-sci.com/role/BalanceSheets" xlink:title="00000002 - Statement - BALANCE SHEETS">
      <link:loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_AssetsCurrent" xlink:label="loc_us-gaapAssetsCurrent" />
      <link:loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_CashAndCashEquivalentsAtCarryingValue" xlink:label="loc_us-gaapCashAndCashEquivalentsAtCarryingValue" />
      <link:calculationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaapAssetsCurrent" xlink:to="loc_us-gaapCashAndCashEquivalentsAtCarryingValue" xlink:type="arc" weight="1" />
      <link:loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_AccountsReceivableNetCurrent" xlink:label="loc_us-gaapAccountsReceivableNetCurrent" />
      <link:calculationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaapAssetsCurrent" xlink:to="loc_us-gaapAccountsReceivableNetCurrent" xlink:type="arc" weight="1" />
      <link:loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_InventoryNet" xlink:label="loc_us-gaapInventoryNet" />
      <link:calculationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaapAssetsCurrent" xlink:to="loc_us-gaapInventoryNet" xlink:type="arc" weight="1" />
      <link:loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_PrepaidExpenseCurrent" xlink:label="loc_us-gaapPrepaidExpenseCurrent" />
      <link:calculationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaapAssetsCurrent" xlink:to="loc_us-gaapPrepaidExpenseCurrent" xlink:type="arc" weight="1" />
      <link:loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_Assets" xlink:label="loc_us-gaapAssets" />
      <link:loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_PropertyPlantAndEquipmentNet" xlink:label="loc_us-gaapPropertyPlantAndEquipmentNet" />
      <link:calculationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaapAssets" xlink:to="loc_us-gaapPropertyPlantAndEquipmentNet" xlink:type="arc" weight="1" />
      <link:loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_FiniteLivedIntangibleAssetsNet" xlink:label="loc_us-gaapFiniteLivedIntangibleAssetsNet" />
      <link:calculationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaapAssets" xlink:to="loc_us-gaapFiniteLivedIntangibleAssetsNet" xlink:type="arc" weight="1" />
      <link:calculationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaapAssets" xlink:to="loc_us-gaapAssetsCurrent" xlink:type="arc" weight="1" />
      <link:loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_DepositAssets" xlink:label="loc_us-gaapDepositAssets" />
      <link:calculationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaapAssets" xlink:to="loc_us-gaapDepositAssets" xlink:type="arc" weight="1" />
      <link:loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_LiabilitiesCurrent" xlink:label="loc_us-gaapLiabilitiesCurrent" />
      <link:loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_AccountsPayableCurrent" xlink:label="loc_us-gaapAccountsPayableCurrent" />
      <link:calculationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaapLiabilitiesCurrent" xlink:to="loc_us-gaapAccountsPayableCurrent" xlink:type="arc" weight="1" />
      <link:loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_AccruedLiabilitiesCurrent" xlink:label="loc_us-gaapAccruedLiabilitiesCurrent" />
      <link:calculationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaapLiabilitiesCurrent" xlink:to="loc_us-gaapAccruedLiabilitiesCurrent" xlink:type="arc" weight="1" />
      <link:loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_DueToOfficersOrStockholdersCurrent" xlink:label="loc_us-gaapDueToOfficersOrStockholdersCurrent" />
      <link:calculationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaapLiabilitiesCurrent" xlink:to="loc_us-gaapDueToOfficersOrStockholdersCurrent" xlink:type="arc" weight="1" />
      <link:loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_DerivativeInstrumentsAndHedgesLiabilities" xlink:label="loc_us-gaapDerivativeInstrumentsAndHedgesLiabilities" />
      <link:calculationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaapLiabilitiesCurrent" xlink:to="loc_us-gaapDerivativeInstrumentsAndHedgesLiabilities" xlink:type="arc" weight="1" />
      <link:loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_OtherLiabilitiesCurrent" xlink:label="loc_us-gaapOtherLiabilitiesCurrent" />
      <link:calculationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaapLiabilitiesCurrent" xlink:to="loc_us-gaapOtherLiabilitiesCurrent" xlink:type="arc" weight="1" />
      <link:loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_Liabilities" xlink:label="loc_us-gaapLiabilities" />
      <link:calculationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaapLiabilities" xlink:to="loc_us-gaapLiabilitiesCurrent" xlink:type="arc" weight="1" />
      <link:loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_DerivativeInstrumentsAndHedgesLiabilitiesNoncurrent" xlink:label="loc_us-gaapDerivativeInstrumentsAndHedgesLiabilitiesNoncurrent" />
      <link:calculationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaapLiabilities" xlink:to="loc_us-gaapDerivativeInstrumentsAndHedgesLiabilitiesNoncurrent" xlink:type="arc" weight="1" />
      <link:loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_DeferredRevenue" xlink:label="loc_us-gaapDeferredRevenue" />
      <link:calculationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaapLiabilities" xlink:to="loc_us-gaapDeferredRevenue" xlink:type="arc" weight="1" />
      <link:loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_FinanceLeaseLiability" xlink:label="loc_us-gaapFinanceLeaseLiability" />
      <link:calculationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaapLiabilities" xlink:to="loc_us-gaapFinanceLeaseLiability" xlink:type="arc" weight="1" />
      <link:loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_OtherLiabilitiesNoncurrent" xlink:label="loc_us-gaapOtherLiabilitiesNoncurrent" />
      <link:calculationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaapLiabilities" xlink:to="loc_us-gaapOtherLiabilitiesNoncurrent" xlink:type="arc" weight="1" />
      <link:loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_StockholdersEquity" xlink:label="loc_us-gaapStockholdersEquity" />
      <link:loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_PreferredStockValue" xlink:label="loc_us-gaapPreferredStockValue" />
      <link:calculationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaapStockholdersEquity" xlink:to="loc_us-gaapPreferredStockValue" xlink:type="arc" weight="1" />
      <link:loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_CommonStockValue" xlink:label="loc_us-gaapCommonStockValue" />
      <link:calculationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaapStockholdersEquity" xlink:to="loc_us-gaapCommonStockValue" xlink:type="arc" weight="1" />
      <link:loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_AdditionalPaidInCapital" xlink:label="loc_us-gaapAdditionalPaidInCapital" />
      <link:calculationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaapStockholdersEquity" xlink:to="loc_us-gaapAdditionalPaidInCapital" xlink:type="arc" weight="1" />
      <link:loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_RetainedEarningsAccumulatedDeficit" xlink:label="loc_us-gaapRetainedEarningsAccumulatedDeficit" />
      <link:calculationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaapStockholdersEquity" xlink:to="loc_us-gaapRetainedEarningsAccumulatedDeficit" xlink:type="arc" weight="1" />
      <link:loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_LiabilitiesAndStockholdersEquity" xlink:label="loc_us-gaapLiabilitiesAndStockholdersEquity" />
      <link:calculationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaapLiabilitiesAndStockholdersEquity" xlink:to="loc_us-gaapLiabilities" xlink:type="arc" weight="1" />
      <link:calculationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaapLiabilitiesAndStockholdersEquity" xlink:to="loc_us-gaapStockholdersEquity" xlink:type="arc" weight="1" />
    </link:calculationLink>
    <link:calculationLink xlink:type="extended" xlink:role="http://cel-sci.com/role/BalanceSheetsParenthetical" xlink:title="00000003 - Statement - BALANCE SHEETS (Parenthetical)" />
    <link:calculationLink xlink:type="extended" xlink:role="http://cel-sci.com/role/StatementsOfOperations" xlink:title="00000004 - Statement - STATEMENTS OF OPERATIONS">
      <link:loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_OperatingExpenses" xlink:label="loc_us-gaapOperatingExpenses" />
      <link:loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_ResearchAndDevelopmentExpense" xlink:label="loc_us-gaapResearchAndDevelopmentExpense" />
      <link:calculationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaapOperatingExpenses" xlink:to="loc_us-gaapResearchAndDevelopmentExpense" xlink:type="arc" weight="1" />
      <link:loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_GeneralAndAdministrativeExpense" xlink:label="loc_us-gaapGeneralAndAdministrativeExpense" />
      <link:calculationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaapOperatingExpenses" xlink:to="loc_us-gaapGeneralAndAdministrativeExpense" xlink:type="arc" weight="1" />
      <link:loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_OperatingIncomeLoss" xlink:label="loc_us-gaapOperatingIncomeLoss" />
      <link:loc xlink:type="locator" xlink:href="cvm-20190930.xsd#CVM_GrantIncome" xlink:label="loc_CVMGrantIncome" />
      <link:calculationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaapOperatingIncomeLoss" xlink:to="loc_CVMGrantIncome" xlink:type="arc" weight="1" />
      <link:calculationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaapOperatingIncomeLoss" xlink:to="loc_us-gaapOperatingExpenses" xlink:type="arc" weight="-1" />
      <link:loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_NetIncomeLoss" xlink:label="loc_us-gaapNetIncomeLoss" />
      <link:calculationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaapNetIncomeLoss" xlink:to="loc_us-gaapOperatingIncomeLoss" xlink:type="arc" weight="1" />
      <link:loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_DerivativeGainOnDerivative" xlink:label="loc_us-gaapDerivativeGainOnDerivative" />
      <link:calculationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaapNetIncomeLoss" xlink:to="loc_us-gaapDerivativeGainOnDerivative" xlink:type="arc" weight="1" />
      <link:loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_InterestIncomeOther" xlink:label="loc_us-gaapInterestIncomeOther" />
      <link:calculationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaapNetIncomeLoss" xlink:to="loc_us-gaapInterestIncomeOther" xlink:type="arc" weight="1" />
      <link:loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_OtherIncome" xlink:label="loc_us-gaapOtherIncome" />
      <link:calculationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaapNetIncomeLoss" xlink:to="loc_us-gaapOtherIncome" xlink:type="arc" weight="1" />
      <link:loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_OtherNonoperatingGainsLosses" xlink:label="loc_us-gaapOtherNonoperatingGainsLosses" />
      <link:calculationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaapNetIncomeLoss" xlink:to="loc_us-gaapOtherNonoperatingGainsLosses" xlink:type="arc" weight="1" />
      <link:loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_NetIncomeLossAvailableToCommonStockholdersBasic" xlink:label="loc_us-gaapNetIncomeLossAvailableToCommonStockholdersBasic" />
      <link:calculationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaapNetIncomeLossAvailableToCommonStockholdersBasic" xlink:to="loc_us-gaapNetIncomeLoss" xlink:type="arc" weight="1" />
      <link:loc xlink:type="locator" xlink:href="cvm-20190930.xsd#CVM_ModificationOfWarrants1" xlink:label="loc_CVMModificationOfWarrants1" />
      <link:calculationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaapNetIncomeLossAvailableToCommonStockholdersBasic" xlink:to="loc_CVMModificationOfWarrants1" xlink:type="arc" weight="-1" />
    </link:calculationLink>
    <link:calculationLink xlink:type="extended" xlink:role="http://cel-sci.com/role/StatementsOfStockholdersEquity" xlink:title="00000005 - Statement - STATEMENTS OF STOCKHOLDERS' EQUITY" />
    <link:calculationLink xlink:type="extended" xlink:role="http://cel-sci.com/role/StatementsOfCashFlows" xlink:title="00000006 - Statement - STATEMENTS OF CASH FLOWS">
      <link:loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_NetCashProvidedByUsedInOperatingActivities" xlink:label="loc_us-gaapNetCashProvidedByUsedInOperatingActivities" />
      <link:loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_NetIncomeLoss" xlink:label="loc_us-gaapNetIncomeLoss" />
      <link:calculationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaapNetCashProvidedByUsedInOperatingActivities" xlink:to="loc_us-gaapNetIncomeLoss" xlink:type="arc" weight="1" />
      <link:loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_IssuanceOfStockAndWarrantsForServicesOrClaims" xlink:label="loc_us-gaapIssuanceOfStockAndWarrantsForServicesOrClaims" />
      <link:calculationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaapNetCashProvidedByUsedInOperatingActivities" xlink:to="loc_us-gaapIssuanceOfStockAndWarrantsForServicesOrClaims" xlink:type="arc" weight="1" />
      <link:loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_IncreaseDecreaseInReceivables" xlink:label="loc_us-gaapIncreaseDecreaseInReceivables" />
      <link:calculationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaapNetCashProvidedByUsedInOperatingActivities" xlink:to="loc_us-gaapIncreaseDecreaseInReceivables" xlink:type="arc" weight="1" />
      <link:loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_IncreaseDecreaseInPrepaidExpense" xlink:label="loc_us-gaapIncreaseDecreaseInPrepaidExpense" />
      <link:calculationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaapNetCashProvidedByUsedInOperatingActivities" xlink:to="loc_us-gaapIncreaseDecreaseInPrepaidExpense" xlink:type="arc" weight="1" />
      <link:loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_IncreaseDecreaseInInventories" xlink:label="loc_us-gaapIncreaseDecreaseInInventories" />
      <link:calculationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaapNetCashProvidedByUsedInOperatingActivities" xlink:to="loc_us-gaapIncreaseDecreaseInInventories" xlink:type="arc" weight="1" />
      <link:loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_IncreaseDecreaseInAccountsPayable" xlink:label="loc_us-gaapIncreaseDecreaseInAccountsPayable" />
      <link:calculationArc order="6" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaapNetCashProvidedByUsedInOperatingActivities" xlink:to="loc_us-gaapIncreaseDecreaseInAccountsPayable" xlink:type="arc" weight="1" />
      <link:loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_IncreaseDecreaseInAccruedLiabilities" xlink:label="loc_us-gaapIncreaseDecreaseInAccruedLiabilities" />
      <link:calculationArc order="7" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaapNetCashProvidedByUsedInOperatingActivities" xlink:to="loc_us-gaapIncreaseDecreaseInAccruedLiabilities" xlink:type="arc" weight="1" />
      <link:loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_IncreaseDecreaseInDueToOfficersAndStockholders" xlink:label="loc_us-gaapIncreaseDecreaseInDueToOfficersAndStockholders" />
      <link:calculationArc order="8" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaapNetCashProvidedByUsedInOperatingActivities" xlink:to="loc_us-gaapIncreaseDecreaseInDueToOfficersAndStockholders" xlink:type="arc" weight="1" />
      <link:loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_IncreaseDecreaseInDeposits" xlink:label="loc_us-gaapIncreaseDecreaseInDeposits" />
      <link:calculationArc order="9" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaapNetCashProvidedByUsedInOperatingActivities" xlink:to="loc_us-gaapIncreaseDecreaseInDeposits" xlink:type="arc" weight="1" />
      <link:loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_ShareBasedCompensation" xlink:label="loc_us-gaapShareBasedCompensation" />
      <link:calculationArc order="10" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaapNetCashProvidedByUsedInOperatingActivities" xlink:to="loc_us-gaapShareBasedCompensation" xlink:type="arc" weight="1" />
      <link:loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_DepreciationAndAmortization" xlink:label="loc_us-gaapDepreciationAndAmortization" />
      <link:calculationArc order="11" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaapNetCashProvidedByUsedInOperatingActivities" xlink:to="loc_us-gaapDepreciationAndAmortization" xlink:type="arc" weight="1" />
      <link:loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_StockIssuedDuringPeriodValueEmployeeBenefitPlan" xlink:label="loc_us-gaapStockIssuedDuringPeriodValueEmployeeBenefitPlan" />
      <link:calculationArc order="12" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaapNetCashProvidedByUsedInOperatingActivities" xlink:to="loc_us-gaapStockIssuedDuringPeriodValueEmployeeBenefitPlan" xlink:type="arc" weight="1" />
      <link:loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_DerivativeGainOnDerivative" xlink:label="loc_us-gaapDerivativeGainOnDerivative" />
      <link:calculationArc order="13" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaapNetCashProvidedByUsedInOperatingActivities" xlink:to="loc_us-gaapDerivativeGainOnDerivative" xlink:type="arc" weight="-1" />
      <link:loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_AmortizationOfDebtDiscountPremium" xlink:label="loc_us-gaapAmortizationOfDebtDiscountPremium" />
      <link:calculationArc order="14" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaapNetCashProvidedByUsedInOperatingActivities" xlink:to="loc_us-gaapAmortizationOfDebtDiscountPremium" xlink:type="arc" weight="1" />
      <link:loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_StockIssuedDuringPeriodValueOther" xlink:label="loc_us-gaapStockIssuedDuringPeriodValueOther" />
      <link:calculationArc order="15" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaapNetCashProvidedByUsedInOperatingActivities" xlink:to="loc_us-gaapStockIssuedDuringPeriodValueOther" xlink:type="arc" weight="1" />
      <link:loc xlink:type="locator" xlink:href="cvm-20190930.xsd#CVM_CapitalizedLeaseInterest" xlink:label="loc_CVMCapitalizedLeaseInterest" />
      <link:calculationArc order="16" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaapNetCashProvidedByUsedInOperatingActivities" xlink:to="loc_CVMCapitalizedLeaseInterest" xlink:type="arc" weight="-1" />
      <link:loc xlink:type="locator" xlink:href="cvm-20190930.xsd#CVM_GainLossOnPrepaidResearchAndDevelopment" xlink:label="loc_CVMGainLossOnPrepaidResearchAndDevelopment" />
      <link:calculationArc order="17" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaapNetCashProvidedByUsedInOperatingActivities" xlink:to="loc_CVMGainLossOnPrepaidResearchAndDevelopment" xlink:type="arc" weight="-1" />
      <link:loc xlink:type="locator" xlink:href="cvm-20190930.xsd#CVM_SharebasedPaymentsForInterest" xlink:label="loc_CVMSharebasedPaymentsForInterest" />
      <link:calculationArc order="18" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaapNetCashProvidedByUsedInOperatingActivities" xlink:to="loc_CVMSharebasedPaymentsForInterest" xlink:type="arc" weight="1" />
      <link:loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_InducedConversionOfConvertibleDebtExpense" xlink:label="loc_us-gaapInducedConversionOfConvertibleDebtExpense" />
      <link:calculationArc order="19" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaapNetCashProvidedByUsedInOperatingActivities" xlink:to="loc_us-gaapInducedConversionOfConvertibleDebtExpense" xlink:type="arc" weight="1" />
      <link:loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_IncreaseDecreaseInOtherOperatingLiabilities" xlink:label="loc_us-gaapIncreaseDecreaseInOtherOperatingLiabilities" />
      <link:calculationArc order="20" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaapNetCashProvidedByUsedInOperatingActivities" xlink:to="loc_us-gaapIncreaseDecreaseInOtherOperatingLiabilities" xlink:type="arc" weight="1" />
      <link:loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_NetCashProvidedByUsedInInvestingActivities" xlink:label="loc_us-gaapNetCashProvidedByUsedInInvestingActivities" />
      <link:loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_PaymentsToAcquirePropertyPlantAndEquipment" xlink:label="loc_us-gaapPaymentsToAcquirePropertyPlantAndEquipment" />
      <link:calculationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaapNetCashProvidedByUsedInInvestingActivities" xlink:to="loc_us-gaapPaymentsToAcquirePropertyPlantAndEquipment" xlink:type="arc" weight="-1" />
      <link:loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_PaymentsToAcquireIntangibleAssets" xlink:label="loc_us-gaapPaymentsToAcquireIntangibleAssets" />
      <link:calculationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaapNetCashProvidedByUsedInInvestingActivities" xlink:to="loc_us-gaapPaymentsToAcquireIntangibleAssets" xlink:type="arc" weight="-1" />
      <link:loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_NetCashProvidedByUsedInFinancingActivities" xlink:label="loc_us-gaapNetCashProvidedByUsedInFinancingActivities" />
      <link:loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_ProceedsFromIssuanceOfCommonStock" xlink:label="loc_us-gaapProceedsFromIssuanceOfCommonStock" />
      <link:calculationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaapNetCashProvidedByUsedInFinancingActivities" xlink:to="loc_us-gaapProceedsFromIssuanceOfCommonStock" xlink:type="arc" weight="1" />
      <link:loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_RepaymentsOfDebtAndCapitalLeaseObligations" xlink:label="loc_us-gaapRepaymentsOfDebtAndCapitalLeaseObligations" />
      <link:calculationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaapNetCashProvidedByUsedInFinancingActivities" xlink:to="loc_us-gaapRepaymentsOfDebtAndCapitalLeaseObligations" xlink:type="arc" weight="-1" />
      <link:loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_ProceedsFromWarrantExercises" xlink:label="loc_us-gaapProceedsFromWarrantExercises" />
      <link:calculationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaapNetCashProvidedByUsedInFinancingActivities" xlink:to="loc_us-gaapProceedsFromWarrantExercises" xlink:type="arc" weight="1" />
      <link:loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_ProceedsFromStockPlans" xlink:label="loc_us-gaapProceedsFromStockPlans" />
      <link:calculationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaapNetCashProvidedByUsedInFinancingActivities" xlink:to="loc_us-gaapProceedsFromStockPlans" xlink:type="arc" weight="1" />
      <link:loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_PaymentOfFinancingAndStockIssuanceCosts" xlink:label="loc_us-gaapPaymentOfFinancingAndStockIssuanceCosts" />
      <link:calculationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaapNetCashProvidedByUsedInFinancingActivities" xlink:to="loc_us-gaapPaymentOfFinancingAndStockIssuanceCosts" xlink:type="arc" weight="-1" />
      <link:loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_CashAndCashEquivalentsPeriodIncreaseDecrease" xlink:label="loc_us-gaapCashAndCashEquivalentsPeriodIncreaseDecrease" />
      <link:calculationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaapCashAndCashEquivalentsPeriodIncreaseDecrease" xlink:to="loc_us-gaapNetCashProvidedByUsedInOperatingActivities" xlink:type="arc" weight="1" />
      <link:calculationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaapCashAndCashEquivalentsPeriodIncreaseDecrease" xlink:to="loc_us-gaapNetCashProvidedByUsedInInvestingActivities" xlink:type="arc" weight="1" />
      <link:calculationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaapCashAndCashEquivalentsPeriodIncreaseDecrease" xlink:to="loc_us-gaapNetCashProvidedByUsedInFinancingActivities" xlink:type="arc" weight="1" />
    </link:calculationLink>
    <link:calculationLink xlink:type="extended" xlink:role="http://cel-sci.com/role/Organization" xlink:title="00000007 - Disclosure - 1. ORGANIZATION" />
    <link:calculationLink xlink:type="extended" xlink:role="http://cel-sci.com/role/OperationsAndFinancing" xlink:title="00000008 - Disclosure - 2. OPERATIONS AND FINANCING" />
    <link:calculationLink xlink:type="extended" xlink:role="http://cel-sci.com/role/RevisionOfPriorPeriodFinancialStatementsForCorrectionOfImmaterialErrors" xlink:title="00000009 - Disclosure - 3. REVISION OF PRIOR PERIOD FINANCIAL STATEMENTS FOR CORRECTION OF IMMATERIAL ERRORS" />
    <link:calculationLink xlink:type="extended" xlink:role="http://cel-sci.com/role/SummaryOfSignificantAccountingPolicies" xlink:title="00000010 - Disclosure - 4. SUMMARY OF SIGNIFICANT ACCOUNTING POLICIES" />
    <link:calculationLink xlink:type="extended" xlink:role="http://cel-sci.com/role/WarrantsAndNon-employeeOptions" xlink:title="00000011 - Disclosure - 5. WARRANTS AND NON-EMPLOYEE OPTIONS" />
    <link:calculationLink xlink:type="extended" xlink:role="http://cel-sci.com/role/PlantPropertyAndEquipment" xlink:title="00000012 - Disclosure - 6. PLANT, PROPERTY AND EQUIPMENT" />
    <link:calculationLink xlink:type="extended" xlink:role="http://cel-sci.com/role/Patents" xlink:title="00000013 - Disclosure - 7. PATENTS" />
    <link:calculationLink xlink:type="extended" xlink:role="http://cel-sci.com/role/NotesPayable" xlink:title="00000014 - Disclosure - 8. NOTES PAYABLE" />
    <link:calculationLink xlink:type="extended" xlink:role="http://cel-sci.com/role/IncomeTaxes" xlink:title="00000015 - Disclosure - 9. INCOME TAXES" />
    <link:calculationLink xlink:type="extended" xlink:role="http://cel-sci.com/role/StockCompensation" xlink:title="00000016 - Disclosure - 10. STOCK COMPENSATION" />
    <link:calculationLink xlink:type="extended" xlink:role="http://cel-sci.com/role/EmployeeBenefitPlan" xlink:title="00000017 - Disclosure - 11. EMPLOYEE BENEFIT PLAN" />
    <link:calculationLink xlink:type="extended" xlink:role="http://cel-sci.com/role/CommitmentsAndContingencies" xlink:title="00000018 - Disclosure - 12. COMMITMENTS AND CONTINGENCIES" />
    <link:calculationLink xlink:type="extended" xlink:role="http://cel-sci.com/role/RelatedPartyTransactions" xlink:title="00000019 - Disclosure - 13. RELATED PARTY TRANSACTIONS" />
    <link:calculationLink xlink:type="extended" xlink:role="http://cel-sci.com/role/StockholdersEquity" xlink:title="00000020 - Disclosure - 14. STOCKHOLDERS EQUITY" />
    <link:calculationLink xlink:type="extended" xlink:role="http://cel-sci.com/role/FairValueMeasurements" xlink:title="00000021 - Disclosure - 15. FAIR VALUE MEASUREMENTS" />
    <link:calculationLink xlink:type="extended" xlink:role="http://cel-sci.com/role/NetLossPerCommonShare" xlink:title="00000022 - Disclosure - 16. NET LOSS PER COMMON SHARE" />
    <link:calculationLink xlink:type="extended" xlink:role="http://cel-sci.com/role/SubsequentEvents" xlink:title="00000023 - Disclosure - 17. SUBSEQUENT EVENTS" />
    <link:calculationLink xlink:type="extended" xlink:role="http://cel-sci.com/role/SummaryOfSignificantAccountingPoliciesPolicies" xlink:title="00000024 - Disclosure - 4. SUMMARY OF SIGNIFICANT ACCOUNTING POLICIES (Policies)" />
    <link:calculationLink xlink:type="extended" xlink:role="http://cel-sci.com/role/RevisionOfPriorPeriodFinancialStatementsForCorrectionOfImmaterialErrorsTables" xlink:title="00000025 - Disclosure - 3. REVISION OF PRIOR PERIOD FINANCIAL STATEMENTS FOR CORRECTION OF IMMATERIAL ERRORS (Tables)" />
    <link:calculationLink xlink:type="extended" xlink:role="http://cel-sci.com/role/DerivativesLiabilitiesWarrantsAndOtherOptionsTables" xlink:title="00000026 - Disclosure - 5. WARRANTS AND NON-EMPLOYEE OPTIONS (Tables)" />
    <link:calculationLink xlink:type="extended" xlink:role="http://cel-sci.com/role/PlantPropertyAndEquipmentTables" xlink:title="00000027 - Disclosure - 6. PLANT, PROPERTY AND EQUIPMENT (Tables)" />
    <link:calculationLink xlink:type="extended" xlink:role="http://cel-sci.com/role/PatentsTables" xlink:title="00000028 - Disclosure - 7. PATENTS (Tables)" />
    <link:calculationLink xlink:type="extended" xlink:role="http://cel-sci.com/role/IncomeTaxesTables" xlink:title="00000029 - Disclosure - 9. INCOME TAXES (Tables)" />
    <link:calculationLink xlink:type="extended" xlink:role="http://cel-sci.com/role/StockCompensationTables" xlink:title="00000030 - Disclosure - 10. STOCK COMPENSATION (Tables)" />
    <link:calculationLink xlink:type="extended" xlink:role="http://cel-sci.com/role/CommitmentsAndContingenciesTables" xlink:title="00000031 - Disclosure - 12. COMMITMENTS AND CONTINGENCIES (Tables)" />
    <link:calculationLink xlink:type="extended" xlink:role="http://cel-sci.com/role/FairValueMeasurementsTables" xlink:title="00000032 - Disclosure - 15. FAIR VALUE MEASUREMENTS (Tables)" />
    <link:calculationLink xlink:type="extended" xlink:role="http://cel-sci.com/role/NetLossPerCommonShareTables" xlink:title="00000033 - Disclosure - 16. NET LOSS PER COMMON SHARE (Tables)" />
    <link:calculationLink xlink:type="extended" xlink:role="http://cel-sci.com/role/RevisionOfPriorPeriodFinancialStatementsForCorrectionOfImmaterialErrorsDetails" xlink:title="00000034 - Disclosure - 3. REVISION OF PRIOR PERIOD FINANCIAL STATEMENTS FOR CORRECTION OF IMMATERIAL ERRORS (Details)" />
    <link:calculationLink xlink:type="extended" xlink:role="http://cel-sci.com/role/SummaryOfSignificantAccountingPoliciesDetailsNarrative" xlink:title="00000035 - Disclosure - 4. SUMMARY OF SIGNIFICANT ACCOUNTING POLICIES (Details Narrative)" />
    <link:calculationLink xlink:type="extended" xlink:role="http://cel-sci.com/role/WarrantsAndNon-employeeOptionsDetails" xlink:title="00000036 - Disclosure - 5. WARRANTS AND NON-EMPLOYEE OPTIONS (Details)" />
    <link:calculationLink xlink:type="extended" xlink:role="http://cel-sci.com/role/WarrantsAndNon-employeeOptionsDetails1" xlink:title="00000037 - Disclosure - 5. WARRANTS AND NON-EMPLOYEE OPTIONS (Details 1)" />
    <link:calculationLink xlink:type="extended" xlink:role="http://cel-sci.com/role/WarrantsAndNon-employeeOptionsDetails2" xlink:title="00000038 - Disclosure - 5. WARRANTS AND NON-EMPLOYEE OPTIONS (Details 2)" />
    <link:calculationLink xlink:type="extended" xlink:role="http://cel-sci.com/role/WarrantsAndNon-employeeOptionsDetails3" xlink:title="00000039 - Disclosure - 5. WARRANTS AND NON-EMPLOYEE OPTIONS (Details 3)" />
    <link:calculationLink xlink:type="extended" xlink:role="http://cel-sci.com/role/PlantPropertyAndEquipmentDetails" xlink:title="00000040 - Disclosure - 6. PLANT, PROPERTY AND EQUIPMENT (Details)" />
    <link:calculationLink xlink:type="extended" xlink:role="http://cel-sci.com/role/PlantPropertyAndEquipmentDetailsNarrative" xlink:title="00000041 - Disclosure - 6. PLANT, PROPERTY AND EQUIPMENT (Details Narrative)" />
    <link:calculationLink xlink:type="extended" xlink:role="http://cel-sci.com/role/PatentsDetails" xlink:title="00000042 - Disclosure - 7. PATENTS (Details)" />
    <link:calculationLink xlink:type="extended" xlink:role="http://cel-sci.com/role/PatentsDetails1" xlink:title="00000043 - Disclosure - 7. PATENTS (Details 1)" />
    <link:calculationLink xlink:type="extended" xlink:role="http://cel-sci.com/role/PatentsDetailsNarrative" xlink:title="00000044 - Disclosure - 7. PATENTS (Details Narrative)" />
    <link:calculationLink xlink:type="extended" xlink:role="http://cel-sci.com/role/IncomeTaxesDetails" xlink:title="00000045 - Disclosure - 9. INCOME TAXES (Details)" />
    <link:calculationLink xlink:type="extended" xlink:role="http://cel-sci.com/role/IncomeTaxesDetails1" xlink:title="00000046 - Disclosure - 9. INCOME TAXES (Details 1)" />
    <link:calculationLink xlink:type="extended" xlink:role="http://cel-sci.com/role/StockCompensationDetails" xlink:title="00000047 - Disclosure - 10. STOCK COMPENSATION (Details)" />
    <link:calculationLink xlink:type="extended" xlink:role="http://cel-sci.com/role/StockCompensationDetails1" xlink:title="00000048 - Disclosure - 10. STOCK COMPENSATION (Details 1)" />
    <link:calculationLink xlink:type="extended" xlink:role="http://cel-sci.com/role/StockCompensationDetails2" xlink:title="00000049 - Disclosure - 10. STOCK COMPENSATION (Details 2)" />
    <link:calculationLink xlink:type="extended" xlink:role="http://cel-sci.com/role/StockCompensationDetails3" xlink:title="00000050 - Disclosure - 10. STOCK COMPENSATION (Details 3)" />
    <link:calculationLink xlink:type="extended" xlink:role="http://cel-sci.com/role/StockCompensationDetails4" xlink:title="00000051 - Disclosure - 10. STOCK COMPENSATION (Details 4)" />
    <link:calculationLink xlink:type="extended" xlink:role="http://cel-sci.com/role/StockCompensationDetailsNarrative" xlink:title="00000052 - Disclosure - 10. STOCK COMPENSATION (Details Narrative)" />
    <link:calculationLink xlink:type="extended" xlink:role="http://cel-sci.com/role/EmployeeBenefitPlanDetailNarrative" xlink:title="00000053 - Disclosure - 11. EMPLOYEE BENEFIT PLAN (Detail Narrative)" />
    <link:calculationLink xlink:type="extended" xlink:role="http://cel-sci.com/role/CommitmentsAndContingenciesDetails" xlink:title="00000054 - Disclosure - 12. COMMITMENTS AND CONTINGENCIES (Details)" />
    <link:calculationLink xlink:type="extended" xlink:role="http://cel-sci.com/role/CommitmentsAndContingenciesDetails1" xlink:title="00000055 - Disclosure - 12. COMMITMENTS AND CONTINGENCIES (Details 1)" />
    <link:calculationLink xlink:type="extended" xlink:role="http://cel-sci.com/role/CommitmentsAndContingenciesDetailsNarrative" xlink:title="00000056 - Disclosure - 12. COMMITMENTS AND CONTINGENCIES (Details Narrative)" />
    <link:calculationLink xlink:type="extended" xlink:role="http://cel-sci.com/role/FairValueMeasurementsDetails" xlink:title="00000057 - Disclosure - 15. FAIR VALUE MEASUREMENTS (Details)" />
    <link:calculationLink xlink:type="extended" xlink:role="http://cel-sci.com/role/FairValueMeasurementsDetails1" xlink:title="00000058 - Disclosure - 15. FAIR VALUE MEASUREMENTS (Details 1)" />
    <link:calculationLink xlink:type="extended" xlink:role="http://cel-sci.com/role/NetLossPerCommonShareDetails" xlink:title="00000059 - Disclosure - 16. NET LOSS PER COMMON SHARE (Details)" />
    <link:calculationLink xlink:type="extended" xlink:role="http://cel-sci.com/role/NetLossPerCommonShareDetails1" xlink:title="00000060 - Disclosure - 16. NET LOSS PER COMMON SHARE (Details 1)" />
</link:linkbase>
