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SALES OF PROPERTIES, DISCONTINUED OPERATIONS AND IMPAIRMENT (Details) (USD $)
3 Months Ended 12 Months Ended 3 Months Ended 0 Months Ended
Mar. 31, 2014
Dec. 31, 2013
Sep. 30, 2013
Jun. 30, 2013
Mar. 31, 2013
Dec. 31, 2014
Dec. 31, 2013
Dec. 31, 2012
Mar. 31, 2015
Feb. 03, 2014
property
Oct. 15, 2014
Jan. 13, 2015
DISCONTINUED OPERATIONS AND REAL ESTATE INVESTMENTS                        
Total sales price, net of closing costs           $ 43,788,000us-gaap_ProceedsFromSaleOfRealEstateHeldforinvestment   $ 36,062,000us-gaap_ProceedsFromSaleOfRealEstateHeldforinvestment        
Net book value of properties held for sale   5,177,000us-gaap_RealEstateHeldforsale       10,176,000us-gaap_RealEstateHeldforsale 5,177,000us-gaap_RealEstateHeldforsale          
Impairment charge           1,093,000us-gaap_AssetImpairmentCharges            
Discontinued Operations                        
Rental income           141,000us-gaap_DisposalGroupIncludingDiscontinuedOperationRentalIncome 973,000us-gaap_DisposalGroupIncludingDiscontinuedOperationRentalIncome 2,690,000us-gaap_DisposalGroupIncludingDiscontinuedOperationRentalIncome        
Depreciation and amortization             125,000us-gaap_DepreciationAndAmortizationDiscontinuedOperations 402,000us-gaap_DepreciationAndAmortizationDiscontinuedOperations        
Real estate expenses           17,000us-gaap_DisposalGroupIncludingDiscontinuedOperationOperatingExpense 12,000us-gaap_DisposalGroupIncludingDiscontinuedOperationOperatingExpense 106,000us-gaap_DisposalGroupIncludingDiscontinuedOperationOperatingExpense        
Interest expense           111,000us-gaap_DisposalGroupIncludingDiscontinuedOperationInterestExpense 259,000us-gaap_DisposalGroupIncludingDiscontinuedOperationInterestExpense 615,000us-gaap_DisposalGroupIncludingDiscontinuedOperationInterestExpense        
Total expenses           128,000olp_DisposalGroupIncludingDiscontinuedOperationCostsAndExpenses 396,000olp_DisposalGroupIncludingDiscontinuedOperationCostsAndExpenses 1,123,000olp_DisposalGroupIncludingDiscontinuedOperationCostsAndExpenses        
Income from operations           13,000us-gaap_DiscontinuedOperationIncomeLossFromDiscontinuedOperationDuringPhaseOutPeriodNetOfTax 577,000us-gaap_DiscontinuedOperationIncomeLossFromDiscontinuedOperationDuringPhaseOutPeriodNetOfTax 1,567,000us-gaap_DiscontinuedOperationIncomeLossFromDiscontinuedOperationDuringPhaseOutPeriodNetOfTax        
Impairment charge             (62,000)us-gaap_ImpairmentOfLongLivedAssetsToBeDisposedOf          
Net gain on sales               19,413,000us-gaap_DiscontinuedOperationGainLossOnDisposalOfDiscontinuedOperationNetOfTax        
Income from discontinued operations 13,000us-gaap_IncomeLossFromDiscontinuedOperationsNetOfTax 90,000us-gaap_IncomeLossFromDiscontinuedOperationsNetOfTax 144,000us-gaap_IncomeLossFromDiscontinuedOperationsNetOfTax 145,000us-gaap_IncomeLossFromDiscontinuedOperationsNetOfTax 136,000us-gaap_IncomeLossFromDiscontinuedOperationsNetOfTax 13,000us-gaap_IncomeLossFromDiscontinuedOperationsNetOfTax 515,000us-gaap_IncomeLossFromDiscontinuedOperationsNetOfTax 20,980,000us-gaap_IncomeLossFromDiscontinuedOperationsNetOfTax        
Subsequent event                        
Discontinued Operations                        
Mortgage balance paid off                 7,376,000us-gaap_ExtinguishmentOfDebtAmount
/ us-gaap_SubsequentEventTypeAxis
= us-gaap_SubsequentEventMember
     
Write off of remaining balance of deferred mortgage costs                 249,000us-gaap_WriteOffOfDeferredDebtIssuanceCost
/ us-gaap_SubsequentEventTypeAxis
= us-gaap_SubsequentEventMember
     
Swap termination expense                 478,000us-gaap_GainLossOnContractTermination
/ us-gaap_SubsequentEventTypeAxis
= us-gaap_SubsequentEventMember
     
Subsequent event | Non-Controlling Interests in Joint Ventures                        
Discontinued Operations                        
Gain on sale of property                 1,300,000us-gaap_GainLossOnSaleOfProperties
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_NoncontrollingInterestMember
/ us-gaap_SubsequentEventTypeAxis
= us-gaap_SubsequentEventMember
     
Property in Florida and leased to Office Depot                        
DISCONTINUED OPERATIONS AND REAL ESTATE INVESTMENTS                        
Number of properties sold               2olp_DiscontinuedOperationsNumberOfPropertiesSold
/ us-gaap_IncomeStatementBalanceSheetAndAdditionalDisclosuresByDisposalGroupsIncludingDiscontinuedOperationsAxis
= olp_PropertyInFloridaAndLeasedToOfficeDepotMember
       
Property in New York                        
DISCONTINUED OPERATIONS AND REAL ESTATE INVESTMENTS                        
Number of properties sold               2olp_DiscontinuedOperationsNumberOfPropertiesSold
/ us-gaap_IncomeStatementBalanceSheetAndAdditionalDisclosuresByDisposalGroupsIncludingDiscontinuedOperationsAxis
= olp_PropertyInNewYorkMember
       
Real estate property located in Michigan                        
DISCONTINUED OPERATIONS AND REAL ESTATE INVESTMENTS                        
Number of properties under contract of sale                   2olp_NumberOfPropertiesUnderContractOfSale
/ us-gaap_IncomeStatementBalanceSheetAndAdditionalDisclosuresByDisposalGroupsIncludingDiscontinuedOperationsAxis
= olp_RealEstatePropertyInMichiganMember
   
Total sales price, net of closing costs                   5,177,000us-gaap_ProceedsFromSaleOfRealEstateHeldforinvestment
/ us-gaap_IncomeStatementBalanceSheetAndAdditionalDisclosuresByDisposalGroupsIncludingDiscontinuedOperationsAxis
= olp_RealEstatePropertyInMichiganMember
   
Net book value of properties held for sale   5,177,000us-gaap_RealEstateHeldforsale
/ us-gaap_IncomeStatementBalanceSheetAndAdditionalDisclosuresByDisposalGroupsIncludingDiscontinuedOperationsAxis
= olp_RealEstatePropertyInMichiganMember
        5,177,000us-gaap_RealEstateHeldforsale
/ us-gaap_IncomeStatementBalanceSheetAndAdditionalDisclosuresByDisposalGroupsIncludingDiscontinuedOperationsAxis
= olp_RealEstatePropertyInMichiganMember
         
Discontinued Operations                        
Impairment charge             (61,700)us-gaap_ImpairmentOfLongLivedAssetsToBeDisposedOf
/ us-gaap_IncomeStatementBalanceSheetAndAdditionalDisclosuresByDisposalGroupsIncludingDiscontinuedOperationsAxis
= olp_RealEstatePropertyInMichiganMember
         
Property located in Parsippany, New Jersey                        
DISCONTINUED OPERATIONS AND REAL ESTATE INVESTMENTS                        
Total sales price, net of closing costs                     38,611,000us-gaap_ProceedsFromSaleOfRealEstateHeldforinvestment
/ us-gaap_IncomeStatementBalanceSheetAndAdditionalDisclosuresByDisposalGroupsIncludingDiscontinuedOperationsAxis
= olp_RealEstatePropertyInParsippanyNewJerseyMember
 
Discontinued Operations                        
Gain on sale of property                     10,180,000us-gaap_GainLossOnSaleOfProperties
/ us-gaap_IncomeStatementBalanceSheetAndAdditionalDisclosuresByDisposalGroupsIncludingDiscontinuedOperationsAxis
= olp_RealEstatePropertyInParsippanyNewJerseyMember
 
Gain on sale of property for federal tax purposes                     20,700,000olp_GainLossOnSaleOfPropertiesForFederalTaxPurposes
/ us-gaap_IncomeStatementBalanceSheetAndAdditionalDisclosuresByDisposalGroupsIncludingDiscontinuedOperationsAxis
= olp_RealEstatePropertyInParsippanyNewJerseyMember
 
Prepayment costs on debt related to sale of real estate                     1,581,000olp_MortgagePrepaymentPenaltyIncurred
/ us-gaap_IncomeStatementBalanceSheetAndAdditionalDisclosuresByDisposalGroupsIncludingDiscontinuedOperationsAxis
= olp_RealEstatePropertyInParsippanyNewJerseyMember
 
Mortgage balance paid off                     13,417,000us-gaap_ExtinguishmentOfDebtAmount
/ us-gaap_IncomeStatementBalanceSheetAndAdditionalDisclosuresByDisposalGroupsIncludingDiscontinuedOperationsAxis
= olp_RealEstatePropertyInParsippanyNewJerseyMember
 
Property Located In Cherry Hill NJ Member | Consolidated JV | Real Estate in Cherry Hill, NJ                        
DISCONTINUED OPERATIONS AND REAL ESTATE INVESTMENTS                        
Net book value of properties held for sale           10,176,000us-gaap_RealEstateHeldforsale
/ us-gaap_IncomeStatementBalanceSheetAndAdditionalDisclosuresByDisposalGroupsIncludingDiscontinuedOperationsAxis
= olp_PropertyLocatedInCherryHillNjMember
/ us-gaap_InvestmentsInAndAdvancesToAffiliatesCategorizationAxis
= olp_ConsolidatedJointVentureMember
/ us-gaap_RealEstateAndAccumulatedDepreciationDescriptionOfPropertyAxis
= olp_CherryHillNJMember
           
Discontinued Operations                        
Related assets of properties held for sale           120,000olp_AssetsRelatedToPropertyHeldForSale
/ us-gaap_IncomeStatementBalanceSheetAndAdditionalDisclosuresByDisposalGroupsIncludingDiscontinuedOperationsAxis
= olp_PropertyLocatedInCherryHillNjMember
/ us-gaap_InvestmentsInAndAdvancesToAffiliatesCategorizationAxis
= olp_ConsolidatedJointVentureMember
/ us-gaap_RealEstateAndAccumulatedDepreciationDescriptionOfPropertyAxis
= olp_CherryHillNJMember
           
Property Located In Cherry Hill NJ Member | Consolidated JV | Real Estate in Cherry Hill, NJ | Subsequent event                        
DISCONTINUED OPERATIONS AND REAL ESTATE INVESTMENTS                        
Total sales price, net of closing costs                       16,025,000us-gaap_ProceedsFromSaleOfRealEstateHeldforinvestment
/ us-gaap_IncomeStatementBalanceSheetAndAdditionalDisclosuresByDisposalGroupsIncludingDiscontinuedOperationsAxis
= olp_PropertyLocatedInCherryHillNjMember
/ us-gaap_InvestmentsInAndAdvancesToAffiliatesCategorizationAxis
= olp_ConsolidatedJointVentureMember
/ us-gaap_RealEstateAndAccumulatedDepreciationDescriptionOfPropertyAxis
= olp_CherryHillNJMember
/ us-gaap_SubsequentEventTypeAxis
= us-gaap_SubsequentEventMember
Discontinued Operations                        
Gain on sale of property                 5,400,000us-gaap_GainLossOnSaleOfProperties
/ us-gaap_IncomeStatementBalanceSheetAndAdditionalDisclosuresByDisposalGroupsIncludingDiscontinuedOperationsAxis
= olp_PropertyLocatedInCherryHillNjMember
/ us-gaap_InvestmentsInAndAdvancesToAffiliatesCategorizationAxis
= olp_ConsolidatedJointVentureMember
/ us-gaap_RealEstateAndAccumulatedDepreciationDescriptionOfPropertyAxis
= olp_CherryHillNJMember
/ us-gaap_SubsequentEventTypeAxis
= us-gaap_SubsequentEventMember
     
Property located in Morrow, Georgia                        
DISCONTINUED OPERATIONS AND REAL ESTATE INVESTMENTS                        
Net book value of properties held for sale           1,470,000us-gaap_RealEstateHeldforsale
/ us-gaap_IncomeStatementBalanceSheetAndAdditionalDisclosuresByDisposalGroupsIncludingDiscontinuedOperationsAxis
= olp_RealEstatePropertyInMorrowGeorgiaMember
           
Impairment charge           $ 1,093,000us-gaap_AssetImpairmentCharges
/ us-gaap_IncomeStatementBalanceSheetAndAdditionalDisclosuresByDisposalGroupsIncludingDiscontinuedOperationsAxis
= olp_RealEstatePropertyInMorrowGeorgiaMember