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  <xsd:element name="SecurityProductsMember" id="vhi_SecurityProductsMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration" />
  <xsd:element name="MarineComponentsMember" id="vhi_MarineComponentsMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration" />
  <xsd:element name="InfrastructureDevelopmentCostReimbursed" id="vhi_InfrastructureDevelopmentCostReimbursed" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" abstract="false" nillable="true" xbrli:balance="credit" xbrli:periodType="duration" />
  <xsd:element name="IncomeTaxExpenseBenefitAllocableToComprehensiveIncome" id="vhi_IncomeTaxExpenseBenefitAllocableToComprehensiveIncome" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" abstract="false" nillable="true" xbrli:balance="debit" xbrli:periodType="duration" />
  <xsd:element name="DisclosureOtherComprehensiveIncomeLossTaxEffectsAllocatedToComponentOfOtherComprehensiveIncomeLossAbstract" id="vhi_DisclosureOtherComprehensiveIncomeLossTaxEffectsAllocatedToComponentOfOtherComprehensiveIncomeLossAbstract" type="xbrli:stringItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration" />
  <xsd:element name="IncomeTaxAllocableToOtherComprehensiveIncomeItemsAbstract" id="vhi_IncomeTaxAllocableToOtherComprehensiveIncomeItemsAbstract" type="xbrli:stringItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration" />
  <xsd:element name="DisclosureIncomeTaxesComponentsOfComprehensiveProvisionForIncomeTaxesAllocationAbstract" id="vhi_DisclosureIncomeTaxesComponentsOfComprehensiveProvisionForIncomeTaxesAllocationAbstract" type="xbrli:stringItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration" />
  <xsd:element name="ScheduleOfIncomeTaxLineItems" id="vhi_ScheduleOfIncomeTaxLineItems" type="xbrli:stringItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration" />
  <xsd:element name="ScheduleOfIncomeTaxTable" id="vhi_ScheduleOfIncomeTaxTable" type="xbrli:stringItemType" substitutionGroup="xbrldt:hypercubeItem" abstract="true" nillable="true" xbrli:periodType="duration" />
  <xsd:element name="CommitmentsAndContingentLiabilitiesLineItems" id="vhi_CommitmentsAndContingentLiabilitiesLineItems" type="xbrli:stringItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration" />
  <xsd:element name="CommitmentsAndContingentLiabilitiesTable" id="vhi_CommitmentsAndContingentLiabilitiesTable" type="xbrli:stringItemType" substitutionGroup="xbrldt:hypercubeItem" abstract="true" nillable="true" xbrli:periodType="duration" />
  <xsd:element name="EnvironmentalRemediationSitesNLNamedAsPRPOrDefendantMember" id="vhi_EnvironmentalRemediationSitesNLNamedAsPRPOrDefendantMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration" />
  <xsd:element name="OtherEnvironmentalCleanupMattersMember" id="vhi_OtherEnvironmentalCleanupMattersMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration" />
  <xsd:element name="AccrualForEnvironmentalLossContingenciesProvisionForNewLossesAndIncreasesForRevisionInEstimatesChargedToExpense" id="vhi_AccrualForEnvironmentalLossContingenciesProvisionForNewLossesAndIncreasesForRevisionInEstimatesChargedToExpense" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" abstract="false" nillable="true" xbrli:balance="credit" xbrli:periodType="duration" />
  <xsd:element name="AccruedEnvironmentalLossContingenciesAbstract" id="vhi_AccruedEnvironmentalLossContingenciesAbstract" type="xbrli:stringItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration" />
  <xsd:element name="NumberOfEnvironmentalRemediationSitesWithReasonablyEstimableCosts" id="vhi_NumberOfEnvironmentalRemediationSitesWithReasonablyEstimableCosts" type="xbrli:integerItemType" substitutionGroup="xbrli:item" abstract="false" nillable="true" xbrli:periodType="instant" />
  <xsd:element name="NumberOfEnvironmentalRemediationSitesWithoutReasonablyEstimableCosts" id="vhi_NumberOfEnvironmentalRemediationSitesWithoutReasonablyEstimableCosts" type="xbrli:integerItemType" substitutionGroup="xbrli:item" abstract="false" nillable="true" xbrli:periodType="instant" />
  <xsd:element name="CashAndEquivalentsAndRestrictedCashAndEquivalentsCurrentAndNoncurrentFairValueDisclosure" id="vhi_CashAndEquivalentsAndRestrictedCashAndEquivalentsCurrentAndNoncurrentFairValueDisclosure" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" abstract="false" nillable="true" xbrli:balance="debit" xbrli:periodType="instant" />
  <xsd:element name="BondMarketPrice" id="vhi_BondMarketPrice" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" abstract="false" nillable="true" xbrli:balance="credit" xbrli:periodType="instant" />
  <xsd:element name="BondParValue" id="vhi_BondParValue" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" abstract="false" nillable="true" xbrli:balance="credit" xbrli:periodType="instant" />
  <xsd:element name="FinancialInstrumentAtFairValueLineItems" id="vhi_FinancialInstrumentAtFairValueLineItems" type="xbrli:stringItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration" />
  <xsd:element name="FinancialInstrumentAtFairValueTable" id="vhi_FinancialInstrumentAtFairValueTable" type="xbrli:stringItemType" substitutionGroup="xbrldt:hypercubeItem" abstract="true" nillable="true" xbrli:periodType="duration" />
  <xsd:element name="OtherComponentsOfNetPeriodicPensionAndOpebExpenseCredit" id="vhi_OtherComponentsOfNetPeriodicPensionAndOpebExpenseCredit" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" xbrli:balance="debit" />
  <xsd:element name="OtherComprehensiveIncomeLossOtherAfterTaxAndReclassificationAdjustmentAttributableToParentTotal" id="vhi_OtherComprehensiveIncomeLossOtherAfterTaxAndReclassificationAdjustmentAttributableToParentTotal" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" xbrli:balance="debit" />
  <xsd:element name="GlobalRevolverRevolvingCreditFacilityMember" id="vhi_GlobalRevolverRevolvingCreditFacilityMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="true" />
  <xsd:element name="NonCurrentAssetsMember" id="vhi_NonCurrentAssetsMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration" />
  <xsd:element name="CurrentAssetsMember" id="vhi_CurrentAssetsMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration" />
  <xsd:element name="OtherAssetsTable" id="vhi_OtherAssetsTable" type="xbrli:stringItemType" substitutionGroup="xbrldt:hypercubeItem" nillable="true" xbrli:periodType="duration" abstract="true" />
  <xsd:element name="OtherAssetsLineItems" id="vhi_OtherAssetsLineItems" type="xbrli:stringItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="true" />
  <xsd:element name="ContranIncomeTaxesMember" id="vhi_ContranIncomeTaxesMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="true" />
  <xsd:element name="NinePointFiveZeroPercentageSeniorSecuredNotesMember" id="vhi_NinePointFiveZeroPercentageSeniorSecuredNotesMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="true" />
  <xsd:element name="AccruedDevelopmentCostsCurrent" id="vhi_AccruedDevelopmentCostsCurrent" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="instant" abstract="false" xbrli:balance="credit" />
  <xsd:element name="DistributionsPayableToMinorityHolders" id="vhi_DistributionsPayableToMinorityHolders" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="instant" abstract="false" xbrli:balance="credit" />
  <xsd:element name="AccrualForEnvironmentalLossContingenciesGain" id="vhi_AccrualForEnvironmentalLossContingenciesGain" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" xbrli:balance="credit" />
  <xsd:element name="OtherPayablesMember" id="vhi_OtherPayablesMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="true" />
  <xsd:element name="NumberOfReportableSegmentsNotDisclosedFlag" id="vhi_NumberOfReportableSegmentsNotDisclosedFlag" type="xbrli:booleanItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" />
  <xsd:element name="EffectiveIncomeTaxRateReconciliationIncrementalTaxImpactOnEquityInvestmentAmount" id="vhi_EffectiveIncomeTaxRateReconciliationIncrementalTaxImpactOnEquityInvestmentAmount" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" xbrli:balance="debit" />
  <xsd:element name="UnrecognizedTaxBenefitsIncomeTaxExpenseRecognized" id="vhi_UnrecognizedTaxBenefitsIncomeTaxExpenseRecognized" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" xbrli:balance="debit" />
  <xsd:element name="NLIHoldingsIncMember" id="vhi_NLIHoldingsIncMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="true" />
</xsd:schema>
