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REAL ESTATE INVESTMENTS AND MINIMUM FUTURE RENTALS (Details) (USD $)
12 Months Ended 0 Months Ended
Dec. 31, 2014
Dec. 31, 2013
Dec. 31, 2012
Feb. 25, 2015
item
Real Estate Acquisitions        
Third Party Real Estate Acquisition Costs $ 479,000olp_CostsOfAcquiringRealEstate $ 921,000olp_CostsOfAcquiringRealEstate $ 823,000olp_CostsOfAcquiringRealEstate  
Contributions from non-controlling interests 639,000us-gaap_NoncontrollingInterestIncreaseFromBusinessCombination 480,000us-gaap_NoncontrollingInterestIncreaseFromBusinessCombination 571,000us-gaap_NoncontrollingInterestIncreaseFromBusinessCombination  
Allocation of purchase price for the company's real estate acquisitions        
Land 21,606,000us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedLand 16,951,000us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedLand    
Building 33,590,000us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedBuildings 75,915,000us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedBuildings    
Building Improvements 1,511,000olp_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedBuildingsImprovements 4,312,000olp_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedBuildingsImprovements    
Intangible Lease Asset 4,771,000us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedIntangibles 11,624,000us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedIntangibles    
Intangible Lease Liability (4,376,000)olp_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedIntangibleLeaseLiability (2,210,000)olp_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedIntangibleLeaseLiability    
Total 57,102,000us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedNet 106,592,000us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedNet    
Intangible Lease Liability (4,376,000)olp_BelowMarketLeaseAcquiredAfterAdjustments      
Restricted cash 1,607,000us-gaap_RestrictedCashAndCashEquivalents      
Occupancy percentage for properties purchased by the company 100.00%olp_RealEstatePropertiesAcquisitionOccupancyPercentage      
Weighted average amortization period for intangible lease liabilities 9 years 1 month 6 days 5 years 10 months 24 days    
Below market lease accumulated amortization 3,928,000us-gaap_BelowMarketLeaseAccumulatedAmortization 3,099,000us-gaap_BelowMarketLeaseAccumulatedAmortization    
Net increase (decrease) in rental revenue due to amortization of the above/below market leases 267,000us-gaap_AmortizationOfAboveAndBelowMarketLeases 160,000us-gaap_AmortizationOfAboveAndBelowMarketLeases (2,000)us-gaap_AmortizationOfAboveAndBelowMarketLeases  
Minimum future contractual rents to be received        
2015 53,345,000us-gaap_OperatingLeasesFutureMinimumPaymentsReceivableCurrent      
2016 50,916,000us-gaap_OperatingLeasesFutureMinimumPaymentsReceivableInTwoYears      
2017 48,176,000us-gaap_OperatingLeasesFutureMinimumPaymentsReceivableInThreeYears      
2018 45,803,000us-gaap_OperatingLeasesFutureMinimumPaymentsReceivableInFourYears      
2019 41,338,000us-gaap_OperatingLeasesFutureMinimumPaymentsReceivableInFiveYears      
Thereafter 217,547,000us-gaap_OperatingLeasesFutureMinimumPaymentsReceivableThereafter      
Total 457,125,000us-gaap_OperatingLeasesFutureMinimumPaymentsReceivable      
Unbilled Rent Receivable        
Unbilled rent receivables 12,815,000us-gaap_DeferredRentReceivablesNet 13,743,000us-gaap_DeferredRentReceivablesNet    
Period during which amount of unbilled rent receivable is to be billed and received 30 years      
Unbilled straight-line rent receivable written off 2,417,000olp_DeferredRentReceivableWrittenOff      
Rental income        
Future amortization income of below market leases        
2015 982,000us-gaap_BelowMarketLeaseAmortizationIncomeNextTwelveMonths
/ us-gaap_IncomeStatementLocationAxis
= olp_RentalRevenueMember
     
2016 967,000us-gaap_BelowMarketLeaseAmortizationIncomeYearTwo
/ us-gaap_IncomeStatementLocationAxis
= olp_RentalRevenueMember
     
2017 958,000us-gaap_BelowMarketLeaseAmortizationIncomeYearThree
/ us-gaap_IncomeStatementLocationAxis
= olp_RentalRevenueMember
     
2018 835,000us-gaap_BelowMarketLeaseAmortizationIncomeYearFour
/ us-gaap_IncomeStatementLocationAxis
= olp_RentalRevenueMember
     
2019 789,000us-gaap_BelowMarketLeaseAmortizationIncomeYearFive
/ us-gaap_IncomeStatementLocationAxis
= olp_RentalRevenueMember
     
Thereafter 5,932,000us-gaap_BelowMarketLeaseAmortizationIncomeAfterYearFive
/ us-gaap_IncomeStatementLocationAxis
= olp_RentalRevenueMember
     
Total 10,463,000us-gaap_BelowMarketLeaseNet
/ us-gaap_IncomeStatementLocationAxis
= olp_RentalRevenueMember
     
Intangible lease asset - above market lease | Rental income        
Amortization of intangible lease assets        
2015 468,000us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseNextTwelveMonths
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_AboveMarketLeasesMember
/ us-gaap_IncomeStatementLocationAxis
= olp_RentalRevenueMember
     
2016 453,000us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseYearTwo
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_AboveMarketLeasesMember
/ us-gaap_IncomeStatementLocationAxis
= olp_RentalRevenueMember
     
2017 413,000us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseYearThree
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_AboveMarketLeasesMember
/ us-gaap_IncomeStatementLocationAxis
= olp_RentalRevenueMember
     
2018 348,000us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseYearFour
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_AboveMarketLeasesMember
/ us-gaap_IncomeStatementLocationAxis
= olp_RentalRevenueMember
     
2019 263,000us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseYearFive
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_AboveMarketLeasesMember
/ us-gaap_IncomeStatementLocationAxis
= olp_RentalRevenueMember
     
Thereafter 1,634,000us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseAfterYearFive
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_AboveMarketLeasesMember
/ us-gaap_IncomeStatementLocationAxis
= olp_RentalRevenueMember
     
Total 3,579,000us-gaap_FiniteLivedIntangibleAssetsNet
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_AboveMarketLeasesMember
/ us-gaap_IncomeStatementLocationAxis
= olp_RentalRevenueMember
     
Intangible lease asset        
Allocation of purchase price for the company's real estate acquisitions        
Intangible lease assets 4,771,000us-gaap_FinitelivedIntangibleAssetsAcquired1
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= olp_LeasesAcquiredInPlaceExcludingBelowMarketLeaseMember
11,624,000us-gaap_FinitelivedIntangibleAssetsAcquired1
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= olp_LeasesAcquiredInPlaceExcludingBelowMarketLeaseMember
   
Weighted average amortization period for intangible lease assets 9 years 3 months 18 days 13 years 2 months 12 days    
Above market lease accumulated amortization 9,170,000us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= olp_LeasesAcquiredInPlaceExcludingBelowMarketLeaseMember
7,054,000us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= olp_LeasesAcquiredInPlaceExcludingBelowMarketLeaseMember
   
Intangible lease asset | Amortization expense        
Allocation of purchase price for the company's real estate acquisitions        
Amortization expense relating to origination costs 2,430,000us-gaap_AmortizationOfIntangibleAssets
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= olp_LeasesAcquiredInPlaceExcludingBelowMarketLeaseMember
/ us-gaap_IncomeStatementLocationAxis
= olp_AmortizationExpenseMember
1,647,000us-gaap_AmortizationOfIntangibleAssets
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= olp_LeasesAcquiredInPlaceExcludingBelowMarketLeaseMember
/ us-gaap_IncomeStatementLocationAxis
= olp_AmortizationExpenseMember
1,006,000us-gaap_AmortizationOfIntangibleAssets
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= olp_LeasesAcquiredInPlaceExcludingBelowMarketLeaseMember
/ us-gaap_IncomeStatementLocationAxis
= olp_AmortizationExpenseMember
 
Amortization of intangible lease assets        
2015 2,594,000us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseNextTwelveMonths
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= olp_LeasesAcquiredInPlaceExcludingBelowMarketLeaseMember
/ us-gaap_IncomeStatementLocationAxis
= olp_AmortizationExpenseMember
     
2016 2,480,000us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseYearTwo
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= olp_LeasesAcquiredInPlaceExcludingBelowMarketLeaseMember
/ us-gaap_IncomeStatementLocationAxis
= olp_AmortizationExpenseMember
     
2017 2,387,000us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseYearThree
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= olp_LeasesAcquiredInPlaceExcludingBelowMarketLeaseMember
/ us-gaap_IncomeStatementLocationAxis
= olp_AmortizationExpenseMember
     
2018 2,238,000us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseYearFour
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= olp_LeasesAcquiredInPlaceExcludingBelowMarketLeaseMember
/ us-gaap_IncomeStatementLocationAxis
= olp_AmortizationExpenseMember
     
2019 2,073,000us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseYearFive
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= olp_LeasesAcquiredInPlaceExcludingBelowMarketLeaseMember
/ us-gaap_IncomeStatementLocationAxis
= olp_AmortizationExpenseMember
     
Thereafter 12,036,000us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseAfterYearFive
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= olp_LeasesAcquiredInPlaceExcludingBelowMarketLeaseMember
/ us-gaap_IncomeStatementLocationAxis
= olp_AmortizationExpenseMember
     
Total 23,808,000us-gaap_FiniteLivedIntangibleAssetsNet
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= olp_LeasesAcquiredInPlaceExcludingBelowMarketLeaseMember
/ us-gaap_IncomeStatementLocationAxis
= olp_AmortizationExpenseMember
     
Consolidated JV | Minimum        
Real Estate Acquisitions        
Ownership interest in consolidated joint venture of the company (as a percent) 85.00%us-gaap_MinorityInterestOwnershipPercentageByParent
/ us-gaap_InvestmentsInAndAdvancesToAffiliatesCategorizationAxis
= olp_ConsolidatedJointVentureMember
/ us-gaap_RangeAxis
= us-gaap_MinimumMember
     
Subtotals        
Real Estate Acquisitions        
Contract Purchase Price 56,793,000us-gaap_PaymentsToAcquireRealEstate
/ us-gaap_BusinessAcquisitionAxis
= olp_CurrentFiscalYearRealEstateAcquisitionsMember
107,529,000us-gaap_PaymentsToAcquireRealEstate
/ us-gaap_BusinessAcquisitionAxis
= olp_CurrentFiscalYearRealEstateAcquisitionsMember
   
Third Party Real Estate Acquisition Costs 479,000olp_CostsOfAcquiringRealEstate
/ us-gaap_BusinessAcquisitionAxis
= olp_CurrentFiscalYearRealEstateAcquisitionsMember
921,000olp_CostsOfAcquiringRealEstate
/ us-gaap_BusinessAcquisitionAxis
= olp_CurrentFiscalYearRealEstateAcquisitionsMember
   
Allocation of purchase price for the company's real estate acquisitions        
Land 21,532,000us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedLand
/ us-gaap_BusinessAcquisitionAxis
= olp_CurrentFiscalYearRealEstateAcquisitionsMember
16,951,000us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedLand
/ us-gaap_BusinessAcquisitionAxis
= olp_CurrentFiscalYearRealEstateAcquisitionsMember
   
Building 33,520,000us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedBuildings
/ us-gaap_BusinessAcquisitionAxis
= olp_CurrentFiscalYearRealEstateAcquisitionsMember
75,915,000us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedBuildings
/ us-gaap_BusinessAcquisitionAxis
= olp_CurrentFiscalYearRealEstateAcquisitionsMember
   
Building Improvements 1,493,000olp_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedBuildingsImprovements
/ us-gaap_BusinessAcquisitionAxis
= olp_CurrentFiscalYearRealEstateAcquisitionsMember
4,312,000olp_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedBuildingsImprovements
/ us-gaap_BusinessAcquisitionAxis
= olp_CurrentFiscalYearRealEstateAcquisitionsMember
   
Intangible Lease Asset 4,830,000us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedIntangibles
/ us-gaap_BusinessAcquisitionAxis
= olp_CurrentFiscalYearRealEstateAcquisitionsMember
12,575,000us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedIntangibles
/ us-gaap_BusinessAcquisitionAxis
= olp_CurrentFiscalYearRealEstateAcquisitionsMember
   
Intangible Lease Liability (4,279,000)olp_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedIntangibleLeaseLiability
/ us-gaap_BusinessAcquisitionAxis
= olp_CurrentFiscalYearRealEstateAcquisitionsMember
(2,174,000)olp_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedIntangibleLeaseLiability
/ us-gaap_BusinessAcquisitionAxis
= olp_CurrentFiscalYearRealEstateAcquisitionsMember
   
Total 57,096,000us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedNet
/ us-gaap_BusinessAcquisitionAxis
= olp_CurrentFiscalYearRealEstateAcquisitionsMember
107,579,000us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedNet
/ us-gaap_BusinessAcquisitionAxis
= olp_CurrentFiscalYearRealEstateAcquisitionsMember
   
Other        
Allocation of purchase price for the company's real estate acquisitions        
Land 74,000us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedLand
/ us-gaap_BusinessAcquisitionAxis
= olp_PriorFiscalYearRealEstateAcquisitionsMember
     
Building 70,000us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedBuildings
/ us-gaap_BusinessAcquisitionAxis
= olp_PriorFiscalYearRealEstateAcquisitionsMember
     
Building Improvements 18,000olp_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedBuildingsImprovements
/ us-gaap_BusinessAcquisitionAxis
= olp_PriorFiscalYearRealEstateAcquisitionsMember
     
Total 6,000us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedNet
/ us-gaap_BusinessAcquisitionAxis
= olp_PriorFiscalYearRealEstateAcquisitionsMember
(987,000)us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedNet
/ us-gaap_BusinessAcquisitionAxis
= olp_PriorFiscalYearRealEstateAcquisitionsMember
   
Other (59,000)olp_BusinessCombinationAdjustmentsToIntangibleLeaseAssets
/ us-gaap_BusinessAcquisitionAxis
= olp_PriorFiscalYearRealEstateAcquisitionsMember
(951,000)olp_BusinessCombinationAdjustmentsToIntangibleLeaseAssets
/ us-gaap_BusinessAcquisitionAxis
= olp_PriorFiscalYearRealEstateAcquisitionsMember
   
Other (97,000)olp_BusinessCombinationAdjustmentsToIntangibleLeaseLiability
/ us-gaap_BusinessAcquisitionAxis
= olp_PriorFiscalYearRealEstateAcquisitionsMember
(36,000)olp_BusinessCombinationAdjustmentsToIntangibleLeaseLiability
/ us-gaap_BusinessAcquisitionAxis
= olp_PriorFiscalYearRealEstateAcquisitionsMember
   
Total Wine and More Retail Store, Greensboro, North Carolina [Member]        
Real Estate Acquisitions        
Contract Purchase Price 2,971,000us-gaap_PaymentsToAcquireRealEstate
/ us-gaap_BusinessAcquisitionAxis
= olp_TotalWineAndMoreRetailStoreGreensboroNorthCarolinaMember
     
Third Party Real Estate Acquisition Costs 20,000olp_CostsOfAcquiringRealEstate
/ us-gaap_BusinessAcquisitionAxis
= olp_TotalWineAndMoreRetailStoreGreensboroNorthCarolinaMember
     
Allocation of purchase price for the company's real estate acquisitions        
Land 1,046,000us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedLand
/ us-gaap_BusinessAcquisitionAxis
= olp_TotalWineAndMoreRetailStoreGreensboroNorthCarolinaMember
     
Building 1,468,000us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedBuildings
/ us-gaap_BusinessAcquisitionAxis
= olp_TotalWineAndMoreRetailStoreGreensboroNorthCarolinaMember
     
Building Improvements 83,000olp_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedBuildingsImprovements
/ us-gaap_BusinessAcquisitionAxis
= olp_TotalWineAndMoreRetailStoreGreensboroNorthCarolinaMember
     
Intangible Lease Asset 374,000us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedIntangibles
/ us-gaap_BusinessAcquisitionAxis
= olp_TotalWineAndMoreRetailStoreGreensboroNorthCarolinaMember
     
Total 2,971,000us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedNet
/ us-gaap_BusinessAcquisitionAxis
= olp_TotalWineAndMoreRetailStoreGreensboroNorthCarolinaMember
     
Chuck E Cheese Restaurant Indianapolis Indiana [Member]        
Real Estate Acquisitions        
Contract Purchase Price 2,138,000us-gaap_PaymentsToAcquireRealEstate
/ us-gaap_BusinessAcquisitionAxis
= olp_ChuckECheeseRestaurantIndianapolisIndianaMember
     
Third Party Real Estate Acquisition Costs 10,000olp_CostsOfAcquiringRealEstate
/ us-gaap_BusinessAcquisitionAxis
= olp_ChuckECheeseRestaurantIndianapolisIndianaMember
     
Allocation of purchase price for the company's real estate acquisitions        
Land 853,000us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedLand
/ us-gaap_BusinessAcquisitionAxis
= olp_ChuckECheeseRestaurantIndianapolisIndianaMember
     
Building 1,321,000us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedBuildings
/ us-gaap_BusinessAcquisitionAxis
= olp_ChuckECheeseRestaurantIndianapolisIndianaMember
     
Building Improvements 145,000olp_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedBuildingsImprovements
/ us-gaap_BusinessAcquisitionAxis
= olp_ChuckECheeseRestaurantIndianapolisIndianaMember
     
Intangible Lease Asset 94,000us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedIntangibles
/ us-gaap_BusinessAcquisitionAxis
= olp_ChuckECheeseRestaurantIndianapolisIndianaMember
     
Intangible Lease Liability (275,000)olp_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedIntangibleLeaseLiability
/ us-gaap_BusinessAcquisitionAxis
= olp_ChuckECheeseRestaurantIndianapolisIndianaMember
     
Total 2,138,000us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedNet
/ us-gaap_BusinessAcquisitionAxis
= olp_ChuckECheeseRestaurantIndianapolisIndianaMember
     
Savers Thrift Superstore Highlands Ranch Colorado [Member]        
Real Estate Acquisitions        
Contract Purchase Price 4,825,000us-gaap_PaymentsToAcquireRealEstate
/ us-gaap_BusinessAcquisitionAxis
= olp_SaversThriftSuperstoreHighlandsRanchColoradoMember
     
Third Party Real Estate Acquisition Costs 83,000olp_CostsOfAcquiringRealEstate
/ us-gaap_BusinessAcquisitionAxis
= olp_SaversThriftSuperstoreHighlandsRanchColoradoMember
     
Allocation of purchase price for the company's real estate acquisitions        
Land 2,361,000us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedLand
/ us-gaap_BusinessAcquisitionAxis
= olp_SaversThriftSuperstoreHighlandsRanchColoradoMember
     
Building 2,644,000us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedBuildings
/ us-gaap_BusinessAcquisitionAxis
= olp_SaversThriftSuperstoreHighlandsRanchColoradoMember
     
Building Improvements 280,000olp_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedBuildingsImprovements
/ us-gaap_BusinessAcquisitionAxis
= olp_SaversThriftSuperstoreHighlandsRanchColoradoMember
     
Intangible Lease Asset 856,000us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedIntangibles
/ us-gaap_BusinessAcquisitionAxis
= olp_SaversThriftSuperstoreHighlandsRanchColoradoMember
     
Intangible Lease Liability (1,316,000)olp_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedIntangibleLeaseLiability
/ us-gaap_BusinessAcquisitionAxis
= olp_SaversThriftSuperstoreHighlandsRanchColoradoMember
     
Total 4,825,000us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedNet
/ us-gaap_BusinessAcquisitionAxis
= olp_SaversThriftSuperstoreHighlandsRanchColoradoMember
     
Hobby Lobby Retail Store Woodbury Minnesota [Member]        
Real Estate Acquisitions        
Contract Purchase Price 4,770,000us-gaap_PaymentsToAcquireRealEstate
/ us-gaap_BusinessAcquisitionAxis
= olp_HobbyLobbyRetailStoreWoodburyMinnesotaMember
     
Third Party Real Estate Acquisition Costs 46,000olp_CostsOfAcquiringRealEstate
/ us-gaap_BusinessAcquisitionAxis
= olp_HobbyLobbyRetailStoreWoodburyMinnesotaMember
     
Allocation of purchase price for the company's real estate acquisitions        
Land 1,190,000us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedLand
/ us-gaap_BusinessAcquisitionAxis
= olp_HobbyLobbyRetailStoreWoodburyMinnesotaMember
     
Building 3,667,000us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedBuildings
/ us-gaap_BusinessAcquisitionAxis
= olp_HobbyLobbyRetailStoreWoodburyMinnesotaMember
     
Building Improvements 335,000olp_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedBuildingsImprovements
/ us-gaap_BusinessAcquisitionAxis
= olp_HobbyLobbyRetailStoreWoodburyMinnesotaMember
     
Intangible Lease Asset 734,000us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedIntangibles
/ us-gaap_BusinessAcquisitionAxis
= olp_HobbyLobbyRetailStoreWoodburyMinnesotaMember
     
Intangible Lease Liability (1,156,000)olp_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedIntangibleLeaseLiability
/ us-gaap_BusinessAcquisitionAxis
= olp_HobbyLobbyRetailStoreWoodburyMinnesotaMember
     
Total 4,770,000us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedNet
/ us-gaap_BusinessAcquisitionAxis
= olp_HobbyLobbyRetailStoreWoodburyMinnesotaMember
     
Land River Crossing Apartments Sandy Spring Georgia [Member]        
Real Estate Acquisitions        
Contract Purchase Price 6,510,000us-gaap_PaymentsToAcquireRealEstate
/ us-gaap_BusinessAcquisitionAxis
= olp_LandRiverCrossingApartmentsSandySpringGeorgiaMember
     
Allocation of purchase price for the company's real estate acquisitions        
Land 6,516,000us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedLand
/ us-gaap_BusinessAcquisitionAxis
= olp_LandRiverCrossingApartmentsSandySpringGeorgiaMember
     
Total 6,516,000us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedNet
/ us-gaap_BusinessAcquisitionAxis
= olp_LandRiverCrossingApartmentsSandySpringGeorgiaMember
     
Capitalized transaction costs incurred with the asset acquisition 6,000us-gaap_BusinessAcquisitionCostOfAcquiredEntityTransactionCosts
/ us-gaap_BusinessAcquisitionAxis
= olp_LandRiverCrossingApartmentsSandySpringGeorgiaMember
     
Amount of mortgage to owner/operator 16,230,000olp_BusinessCombinationConsiderationTransferredAsMortgageDebt
/ us-gaap_BusinessAcquisitionAxis
= olp_LandRiverCrossingApartmentsSandySpringGeorgiaMember
     
Land River Crossing Apartments Sandy Springs Georgia and Noxell Corporation Industrial Building Joppa Maryland [Member]        
Allocation of purchase price for the company's real estate acquisitions        
Capitalized transaction costs incurred with the asset acquisition 303,000us-gaap_BusinessAcquisitionCostOfAcquiredEntityTransactionCosts
/ us-gaap_BusinessAcquisitionAxis
= olp_LandRiverCrossingApartmentsSandySpringsGeorgiaAndNoxellCorporationIndustrialBuildingJoppaMarylandMember
     
Noxel Corporation Industrial Building Joppa Maryland [Member]        
Real Estate Acquisitions        
Contract Purchase Price 11,650,000us-gaap_PaymentsToAcquireRealEstate
/ us-gaap_BusinessAcquisitionAxis
= olp_NoxelCorporationIndustrialBuildingJoppaMarylandMember
     
Allocation of purchase price for the company's real estate acquisitions        
Land 3,805,000us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedLand
/ us-gaap_BusinessAcquisitionAxis
= olp_NoxelCorporationIndustrialBuildingJoppaMarylandMember
     
Building 7,991,000us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedBuildings
/ us-gaap_BusinessAcquisitionAxis
= olp_NoxelCorporationIndustrialBuildingJoppaMarylandMember
     
Building Improvements 151,000olp_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedBuildingsImprovements
/ us-gaap_BusinessAcquisitionAxis
= olp_NoxelCorporationIndustrialBuildingJoppaMarylandMember
     
Total 11,947,000us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedNet
/ us-gaap_BusinessAcquisitionAxis
= olp_NoxelCorporationIndustrialBuildingJoppaMarylandMember
     
Capitalized transaction costs incurred with the asset acquisition 297,000us-gaap_BusinessAcquisitionCostOfAcquiredEntityTransactionCosts
/ us-gaap_BusinessAcquisitionAxis
= olp_NoxelCorporationIndustrialBuildingJoppaMarylandMember
     
Noxel Corporation Industrial Building Joppa Maryland [Member] | Consolidated JV        
Real Estate Acquisitions        
Ownership interest in consolidated joint venture of the company (as a percent) 95.00%us-gaap_MinorityInterestOwnershipPercentageByParent
/ us-gaap_BusinessAcquisitionAxis
= olp_NoxelCorporationIndustrialBuildingJoppaMarylandMember
/ us-gaap_InvestmentsInAndAdvancesToAffiliatesCategorizationAxis
= olp_ConsolidatedJointVentureMember
     
Ownership interest in consolidated joint venture of non-controlling interest (as a percent) 5.00%us-gaap_MinorityInterestOwnershipPercentageByNoncontrollingOwners
/ us-gaap_BusinessAcquisitionAxis
= olp_NoxelCorporationIndustrialBuildingJoppaMarylandMember
/ us-gaap_InvestmentsInAndAdvancesToAffiliatesCategorizationAxis
= olp_ConsolidatedJointVentureMember
     
Contributions from non-controlling interests 306,000us-gaap_NoncontrollingInterestIncreaseFromBusinessCombination
/ us-gaap_BusinessAcquisitionAxis
= olp_NoxelCorporationIndustrialBuildingJoppaMarylandMember
/ us-gaap_InvestmentsInAndAdvancesToAffiliatesCategorizationAxis
= olp_ConsolidatedJointVentureMember
     
Payments to Acquire Interest in Joint Venture 5,825,000us-gaap_PaymentsToAcquireInterestInJointVenture
/ us-gaap_BusinessAcquisitionAxis
= olp_NoxelCorporationIndustrialBuildingJoppaMarylandMember
/ us-gaap_InvestmentsInAndAdvancesToAffiliatesCategorizationAxis
= olp_ConsolidatedJointVentureMember
     
Regal Cinemas Indianapolis Indiana [Member]        
Real Estate Acquisitions        
Contract Purchase Price 9,000,000us-gaap_PaymentsToAcquireRealEstate
/ us-gaap_BusinessAcquisitionAxis
= olp_RegalCinemasIndianapolisIndianaMember
     
Third Party Real Estate Acquisition Costs 78,000olp_CostsOfAcquiringRealEstate
/ us-gaap_BusinessAcquisitionAxis
= olp_RegalCinemasIndianapolisIndianaMember
     
Allocation of purchase price for the company's real estate acquisitions        
Land 3,087,000us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedLand
/ us-gaap_BusinessAcquisitionAxis
= olp_RegalCinemasIndianapolisIndianaMember
     
Building 5,000,000us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedBuildings
/ us-gaap_BusinessAcquisitionAxis
= olp_RegalCinemasIndianapolisIndianaMember
     
Building Improvements 225,000olp_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedBuildingsImprovements
/ us-gaap_BusinessAcquisitionAxis
= olp_RegalCinemasIndianapolisIndianaMember
     
Intangible Lease Asset 1,575,000us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedIntangibles
/ us-gaap_BusinessAcquisitionAxis
= olp_RegalCinemasIndianapolisIndianaMember
     
Intangible Lease Liability (887,000)olp_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedIntangibleLeaseLiability
/ us-gaap_BusinessAcquisitionAxis
= olp_RegalCinemasIndianapolisIndianaMember
     
Total 9,000,000us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedNet
/ us-gaap_BusinessAcquisitionAxis
= olp_RegalCinemasIndianapolisIndianaMember
     
Pathmark Supermarket Property Philadelphia Pennsylvania [Member]        
Real Estate Acquisitions        
Contract Purchase Price 7,729,000us-gaap_PaymentsToAcquireRealEstate
/ us-gaap_BusinessAcquisitionAxis
= olp_PathmarkSupermarketPropertyPhiladelphiaPennsyLvaniaMember
     
Mortgage incurred 4,635,000us-gaap_NoncashOrPartNoncashAcquisitionDebtAssumed1
/ us-gaap_BusinessAcquisitionAxis
= olp_PathmarkSupermarketPropertyPhiladelphiaPennsyLvaniaMember
     
Third Party Real Estate Acquisition Costs 162,000olp_CostsOfAcquiringRealEstate
/ us-gaap_BusinessAcquisitionAxis
= olp_PathmarkSupermarketPropertyPhiladelphiaPennsyLvaniaMember
     
Interest rate (as a percent) 3.885%us-gaap_DebtInstrumentInterestRateStatedPercentage
/ us-gaap_BusinessAcquisitionAxis
= olp_PathmarkSupermarketPropertyPhiladelphiaPennsyLvaniaMember
     
Allocation of purchase price for the company's real estate acquisitions        
Land 1,793,000us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedLand
/ us-gaap_BusinessAcquisitionAxis
= olp_PathmarkSupermarketPropertyPhiladelphiaPennsyLvaniaMember
     
Building 5,396,000us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedBuildings
/ us-gaap_BusinessAcquisitionAxis
= olp_PathmarkSupermarketPropertyPhiladelphiaPennsyLvaniaMember
     
Building Improvements 244,000olp_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedBuildingsImprovements
/ us-gaap_BusinessAcquisitionAxis
= olp_PathmarkSupermarketPropertyPhiladelphiaPennsyLvaniaMember
     
Intangible Lease Asset 440,000us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedIntangibles
/ us-gaap_BusinessAcquisitionAxis
= olp_PathmarkSupermarketPropertyPhiladelphiaPennsyLvaniaMember
     
Intangible Lease Liability (144,000)olp_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedIntangibleLeaseLiability
/ us-gaap_BusinessAcquisitionAxis
= olp_PathmarkSupermarketPropertyPhiladelphiaPennsyLvaniaMember
     
Total 7,729,000us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedNet
/ us-gaap_BusinessAcquisitionAxis
= olp_PathmarkSupermarketPropertyPhiladelphiaPennsyLvaniaMember
     
Pathmark Supermarket Property Philadelphia Pennsylvania [Member] | Consolidated JV        
Real Estate Acquisitions        
Ownership interest in consolidated joint venture of the company (as a percent) 90.00%us-gaap_MinorityInterestOwnershipPercentageByParent
/ us-gaap_BusinessAcquisitionAxis
= olp_PathmarkSupermarketPropertyPhiladelphiaPennsyLvaniaMember
/ us-gaap_InvestmentsInAndAdvancesToAffiliatesCategorizationAxis
= olp_ConsolidatedJointVentureMember
     
Ownership interest in consolidated joint venture of non-controlling interest (as a percent) 10.00%us-gaap_MinorityInterestOwnershipPercentageByNoncontrollingOwners
/ us-gaap_BusinessAcquisitionAxis
= olp_PathmarkSupermarketPropertyPhiladelphiaPennsyLvaniaMember
/ us-gaap_InvestmentsInAndAdvancesToAffiliatesCategorizationAxis
= olp_ConsolidatedJointVentureMember
     
Contributions from non-controlling interests 333,000us-gaap_NoncontrollingInterestIncreaseFromBusinessCombination
/ us-gaap_BusinessAcquisitionAxis
= olp_PathmarkSupermarketPropertyPhiladelphiaPennsyLvaniaMember
/ us-gaap_InvestmentsInAndAdvancesToAffiliatesCategorizationAxis
= olp_ConsolidatedJointVentureMember
     
Progress Converting Distribution Facility [Member]        
Real Estate Acquisitions        
Contract Purchase Price 7,200,000us-gaap_PaymentsToAcquireRealEstate
/ us-gaap_BusinessAcquisitionAxis
= olp_ProgressConvertingDistributionFacilityMember
     
Third Party Real Estate Acquisition Costs 38,000olp_CostsOfAcquiringRealEstate
/ us-gaap_BusinessAcquisitionAxis
= olp_ProgressConvertingDistributionFacilityMember
     
Allocation of purchase price for the company's real estate acquisitions        
Land 881,000us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedLand
/ us-gaap_BusinessAcquisitionAxis
= olp_ProgressConvertingDistributionFacilityMember
     
Building 6,033,000us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedBuildings
/ us-gaap_BusinessAcquisitionAxis
= olp_ProgressConvertingDistributionFacilityMember
     
Building Improvements 30,000olp_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedBuildingsImprovements
/ us-gaap_BusinessAcquisitionAxis
= olp_ProgressConvertingDistributionFacilityMember
     
Intangible Lease Asset 757,000us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedIntangibles
/ us-gaap_BusinessAcquisitionAxis
= olp_ProgressConvertingDistributionFacilityMember
     
Intangible Lease Liability (501,000)olp_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedIntangibleLeaseLiability
/ us-gaap_BusinessAcquisitionAxis
= olp_ProgressConvertingDistributionFacilityMember
     
Total 7,200,000us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedNet
/ us-gaap_BusinessAcquisitionAxis
= olp_ProgressConvertingDistributionFacilityMember
     
Other        
Real Estate Acquisitions        
Third Party Real Estate Acquisition Costs 42,000olp_CostsOfAcquiringRealEstate
/ us-gaap_BusinessAcquisitionAxis
= olp_OtherPropertiesMember
     
Kmart retail store, Clemmons, North Carolina        
Real Estate Acquisitions        
Contract Purchase Price   4,640,000us-gaap_PaymentsToAcquireRealEstate
/ us-gaap_BusinessAcquisitionAxis
= olp_RetailPropertyClemmonsNorthCarolinaMember
   
Third Party Real Estate Acquisition Costs   119,000olp_CostsOfAcquiringRealEstate
/ us-gaap_BusinessAcquisitionAxis
= olp_RetailPropertyClemmonsNorthCarolinaMember
   
Allocation of purchase price for the company's real estate acquisitions        
Land   2,496,000us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedLand
/ us-gaap_BusinessAcquisitionAxis
= olp_RetailPropertyClemmonsNorthCarolinaMember
   
Building   2,553,000us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedBuildings
/ us-gaap_BusinessAcquisitionAxis
= olp_RetailPropertyClemmonsNorthCarolinaMember
   
Building Improvements   653,000olp_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedBuildingsImprovements
/ us-gaap_BusinessAcquisitionAxis
= olp_RetailPropertyClemmonsNorthCarolinaMember
   
Intangible Lease Asset   425,000us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedIntangibles
/ us-gaap_BusinessAcquisitionAxis
= olp_RetailPropertyClemmonsNorthCarolinaMember
   
Intangible Lease Liability   (1,487,000)olp_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedIntangibleLeaseLiability
/ us-gaap_BusinessAcquisitionAxis
= olp_RetailPropertyClemmonsNorthCarolinaMember
   
Total   4,640,000us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedNet
/ us-gaap_BusinessAcquisitionAxis
= olp_RetailPropertyClemmonsNorthCarolinaMember
   
Kmart retail store, Clemmons, North Carolina | Consolidated JV        
Real Estate Acquisitions        
Ownership interest in consolidated joint venture of the company (as a percent)   90.00%us-gaap_MinorityInterestOwnershipPercentageByParent
/ us-gaap_BusinessAcquisitionAxis
= olp_RetailPropertyClemmonsNorthCarolinaMember
/ us-gaap_InvestmentsInAndAdvancesToAffiliatesCategorizationAxis
= olp_ConsolidatedJointVentureMember
   
Ownership interest in consolidated joint venture of non-controlling interest (as a percent)   10.00%us-gaap_MinorityInterestOwnershipPercentageByNoncontrollingOwners
/ us-gaap_BusinessAcquisitionAxis
= olp_RetailPropertyClemmonsNorthCarolinaMember
/ us-gaap_InvestmentsInAndAdvancesToAffiliatesCategorizationAxis
= olp_ConsolidatedJointVentureMember
   
Contributions from non-controlling interests   470,000us-gaap_NoncontrollingInterestIncreaseFromBusinessCombination
/ us-gaap_BusinessAcquisitionAxis
= olp_RetailPropertyClemmonsNorthCarolinaMember
/ us-gaap_InvestmentsInAndAdvancesToAffiliatesCategorizationAxis
= olp_ConsolidatedJointVentureMember
   
Shutterfly flex facility Fort Mill, South Carolina        
Real Estate Acquisitions        
Contract Purchase Price   15,500,000us-gaap_PaymentsToAcquireRealEstate
/ us-gaap_BusinessAcquisitionAxis
= olp_RetailPropertyFortMillSouthCarolinaMember
   
Mortgage incurred   9,300,000us-gaap_NoncashOrPartNoncashAcquisitionDebtAssumed1
/ us-gaap_BusinessAcquisitionAxis
= olp_RetailPropertyFortMillSouthCarolinaMember
   
Third Party Real Estate Acquisition Costs   124,000olp_CostsOfAcquiringRealEstate
/ us-gaap_BusinessAcquisitionAxis
= olp_RetailPropertyFortMillSouthCarolinaMember
   
Interest rate (as a percent)   4.562%us-gaap_DebtInstrumentInterestRateStatedPercentage
/ us-gaap_BusinessAcquisitionAxis
= olp_RetailPropertyFortMillSouthCarolinaMember
   
Allocation of purchase price for the company's real estate acquisitions        
Land   1,841,000us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedLand
/ us-gaap_BusinessAcquisitionAxis
= olp_RetailPropertyFortMillSouthCarolinaMember
   
Building   12,353,000us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedBuildings
/ us-gaap_BusinessAcquisitionAxis
= olp_RetailPropertyFortMillSouthCarolinaMember
   
Building Improvements   335,000olp_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedBuildingsImprovements
/ us-gaap_BusinessAcquisitionAxis
= olp_RetailPropertyFortMillSouthCarolinaMember
   
Intangible Lease Asset   1,546,000us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedIntangibles
/ us-gaap_BusinessAcquisitionAxis
= olp_RetailPropertyFortMillSouthCarolinaMember
   
Intangible Lease Liability   (575,000)olp_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedIntangibleLeaseLiability
/ us-gaap_BusinessAcquisitionAxis
= olp_RetailPropertyFortMillSouthCarolinaMember
   
Total   15,500,000us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedNet
/ us-gaap_BusinessAcquisitionAxis
= olp_RetailPropertyFortMillSouthCarolinaMember
   
Texas Land & Cattle restaurant Killeen, Texas        
Real Estate Acquisitions        
Contract Purchase Price   2,020,000us-gaap_PaymentsToAcquireRealEstate
/ us-gaap_BusinessAcquisitionAxis
= olp_RestaurantPropertyKilleenTexasMember
   
Allocation of purchase price for the company's real estate acquisitions        
Land   1,263,000us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedLand
/ us-gaap_BusinessAcquisitionAxis
= olp_RestaurantPropertyKilleenTexasMember
   
Building   739,000us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedBuildings
/ us-gaap_BusinessAcquisitionAxis
= olp_RestaurantPropertyKilleenTexasMember
   
Building Improvements   64,000olp_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedBuildingsImprovements
/ us-gaap_BusinessAcquisitionAxis
= olp_RestaurantPropertyKilleenTexasMember
   
Total   2,066,000us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedNet
/ us-gaap_BusinessAcquisitionAxis
= olp_RestaurantPropertyKilleenTexasMember
   
Hooters restaurant Concord, North Carolina        
Real Estate Acquisitions        
Contract Purchase Price   2,469,000us-gaap_PaymentsToAcquireRealEstate
/ us-gaap_BusinessAcquisitionAxis
= olp_RestaurantPropertyConcordNorthCarolinaMember
   
Third Party Real Estate Acquisition Costs   15,000olp_CostsOfAcquiringRealEstate
/ us-gaap_BusinessAcquisitionAxis
= olp_RestaurantPropertyConcordNorthCarolinaMember
   
Allocation of purchase price for the company's real estate acquisitions        
Land   999,000us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedLand
/ us-gaap_BusinessAcquisitionAxis
= olp_RestaurantPropertyConcordNorthCarolinaMember
   
Building   954,000us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedBuildings
/ us-gaap_BusinessAcquisitionAxis
= olp_RestaurantPropertyConcordNorthCarolinaMember
   
Building Improvements   122,000olp_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedBuildingsImprovements
/ us-gaap_BusinessAcquisitionAxis
= olp_RestaurantPropertyConcordNorthCarolinaMember
   
Intangible Lease Asset   394,000us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedIntangibles
/ us-gaap_BusinessAcquisitionAxis
= olp_RestaurantPropertyConcordNorthCarolinaMember
   
Total   2,469,000us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedNet
/ us-gaap_BusinessAcquisitionAxis
= olp_RestaurantPropertyConcordNorthCarolinaMember
   
TRISUN Health Care - assisted living facility Round Rock, Texas        
Real Estate Acquisitions        
Contract Purchase Price   22,800,000us-gaap_PaymentsToAcquireRealEstate
/ us-gaap_BusinessAcquisitionAxis
= olp_RetailPropertyRoundRockTexasMember
   
Mortgage incurred   15,275,000us-gaap_NoncashOrPartNoncashAcquisitionDebtAssumed1
/ us-gaap_BusinessAcquisitionAxis
= olp_RetailPropertyRoundRockTexasMember
   
Third Party Real Estate Acquisition Costs   321,000olp_CostsOfAcquiringRealEstate
/ us-gaap_BusinessAcquisitionAxis
= olp_RetailPropertyRoundRockTexasMember
   
Interest rate (as a percent)   5.375%us-gaap_DebtInstrumentInterestRateStatedPercentage
/ us-gaap_BusinessAcquisitionAxis
= olp_RetailPropertyRoundRockTexasMember
   
Allocation of purchase price for the company's real estate acquisitions        
Land   1,678,000us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedLand
/ us-gaap_BusinessAcquisitionAxis
= olp_RetailPropertyRoundRockTexasMember
   
Building   16,577,000us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedBuildings
/ us-gaap_BusinessAcquisitionAxis
= olp_RetailPropertyRoundRockTexasMember
   
Building Improvements   93,000olp_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedBuildingsImprovements
/ us-gaap_BusinessAcquisitionAxis
= olp_RetailPropertyRoundRockTexasMember
   
Intangible Lease Asset   4,452,000us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedIntangibles
/ us-gaap_BusinessAcquisitionAxis
= olp_RetailPropertyRoundRockTexasMember
   
Total   22,800,000us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedNet
/ us-gaap_BusinessAcquisitionAxis
= olp_RetailPropertyRoundRockTexasMember
   
Hooters restaurant Myrtle Beach, South Carolina        
Real Estate Acquisitions        
Contract Purchase Price   2,635,000us-gaap_PaymentsToAcquireRealEstate
/ us-gaap_BusinessAcquisitionAxis
= olp_RestaurantPropertyMyrtleBeachSouthCarolinaMember
   
Third Party Real Estate Acquisition Costs   33,000olp_CostsOfAcquiringRealEstate
/ us-gaap_BusinessAcquisitionAxis
= olp_RestaurantPropertyMyrtleBeachSouthCarolinaMember
   
Allocation of purchase price for the company's real estate acquisitions        
Land   1,102,000us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedLand
/ us-gaap_BusinessAcquisitionAxis
= olp_RestaurantPropertyMyrtleBeachSouthCarolinaMember
   
Building   1,090,000us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedBuildings
/ us-gaap_BusinessAcquisitionAxis
= olp_RestaurantPropertyMyrtleBeachSouthCarolinaMember
   
Building Improvements   71,000olp_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedBuildingsImprovements
/ us-gaap_BusinessAcquisitionAxis
= olp_RestaurantPropertyMyrtleBeachSouthCarolinaMember
   
Intangible Lease Asset   372,000us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedIntangibles
/ us-gaap_BusinessAcquisitionAxis
= olp_RestaurantPropertyMyrtleBeachSouthCarolinaMember
   
Total   2,635,000us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedNet
/ us-gaap_BusinessAcquisitionAxis
= olp_RestaurantPropertyMyrtleBeachSouthCarolinaMember
   
Joe's Crab Shack restaurant Ann Arbor, Michigan        
Real Estate Acquisitions        
Contract Purchase Price   2,980,000us-gaap_PaymentsToAcquireRealEstate
/ us-gaap_BusinessAcquisitionAxis
= olp_RestaurantPropertyAnnArborMichiganMember
   
Third Party Real Estate Acquisition Costs   31,000olp_CostsOfAcquiringRealEstate
/ us-gaap_BusinessAcquisitionAxis
= olp_RestaurantPropertyAnnArborMichiganMember
   
Allocation of purchase price for the company's real estate acquisitions        
Land   1,098,000us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedLand
/ us-gaap_BusinessAcquisitionAxis
= olp_RestaurantPropertyAnnArborMichiganMember
   
Building   1,338,000us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedBuildings
/ us-gaap_BusinessAcquisitionAxis
= olp_RestaurantPropertyAnnArborMichiganMember
   
Building Improvements   122,000olp_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedBuildingsImprovements
/ us-gaap_BusinessAcquisitionAxis
= olp_RestaurantPropertyAnnArborMichiganMember
   
Intangible Lease Asset   422,000us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedIntangibles
/ us-gaap_BusinessAcquisitionAxis
= olp_RestaurantPropertyAnnArborMichiganMember
   
Total   2,980,000us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedNet
/ us-gaap_BusinessAcquisitionAxis
= olp_RestaurantPropertyAnnArborMichiganMember
   
FedEx Express facility Indianapolis, Indiana        
Real Estate Acquisitions        
Contract Purchase Price   9,270,000us-gaap_PaymentsToAcquireRealEstate
/ us-gaap_BusinessAcquisitionAxis
= olp_RetailPropertyIndianapolisIndianaMember
   
Third Party Real Estate Acquisition Costs   39,000olp_CostsOfAcquiringRealEstate
/ us-gaap_BusinessAcquisitionAxis
= olp_RetailPropertyIndianapolisIndianaMember
   
Allocation of purchase price for the company's real estate acquisitions        
Land   1,224,000us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedLand
/ us-gaap_BusinessAcquisitionAxis
= olp_RetailPropertyIndianapolisIndianaMember
   
Building   6,438,000us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedBuildings
/ us-gaap_BusinessAcquisitionAxis
= olp_RetailPropertyIndianapolisIndianaMember
   
Building Improvements   498,000olp_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedBuildingsImprovements
/ us-gaap_BusinessAcquisitionAxis
= olp_RetailPropertyIndianapolisIndianaMember
   
Intangible Lease Asset   1,222,000us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedIntangibles
/ us-gaap_BusinessAcquisitionAxis
= olp_RetailPropertyIndianapolisIndianaMember
   
Intangible Lease Liability   (112,000)olp_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedIntangibleLeaseLiability
/ us-gaap_BusinessAcquisitionAxis
= olp_RetailPropertyIndianapolisIndianaMember
   
Total   9,270,000us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedNet
/ us-gaap_BusinessAcquisitionAxis
= olp_RetailPropertyIndianapolisIndianaMember
   
Northern Tool & Equipment distribution facility Fort Mill, South Carolina        
Real Estate Acquisitions        
Contract Purchase Price   39,195,000us-gaap_PaymentsToAcquireRealEstate
/ us-gaap_BusinessAcquisitionAxis
= olp_PropertyLocatedInFortMillSouthCarolinaMember
   
Mortgage incurred   27,300,000us-gaap_NoncashOrPartNoncashAcquisitionDebtAssumed1
/ us-gaap_BusinessAcquisitionAxis
= olp_PropertyLocatedInFortMillSouthCarolinaMember
   
Third Party Real Estate Acquisition Costs   91,000olp_CostsOfAcquiringRealEstate
/ us-gaap_BusinessAcquisitionAxis
= olp_PropertyLocatedInFortMillSouthCarolinaMember
   
Interest rate (as a percent)   4.875%us-gaap_DebtInstrumentInterestRateStatedPercentage
/ us-gaap_BusinessAcquisitionAxis
= olp_PropertyLocatedInFortMillSouthCarolinaMember
   
Allocation of purchase price for the company's real estate acquisitions        
Land   1,804,000us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedLand
/ us-gaap_BusinessAcquisitionAxis
= olp_PropertyLocatedInFortMillSouthCarolinaMember
   
Building   31,635,000us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedBuildings
/ us-gaap_BusinessAcquisitionAxis
= olp_PropertyLocatedInFortMillSouthCarolinaMember
   
Building Improvements   2,014,000olp_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedBuildingsImprovements
/ us-gaap_BusinessAcquisitionAxis
= olp_PropertyLocatedInFortMillSouthCarolinaMember
   
Intangible Lease Asset   3,742,000us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedIntangibles
/ us-gaap_BusinessAcquisitionAxis
= olp_PropertyLocatedInFortMillSouthCarolinaMember
   
Total   39,195,000us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedNet
/ us-gaap_BusinessAcquisitionAxis
= olp_PropertyLocatedInFortMillSouthCarolinaMember
   
Number of tenants in the property 2olp_NumberOfTenantsInProperty
/ us-gaap_BusinessAcquisitionAxis
= olp_PropertyLocatedInFortMillSouthCarolinaMember
     
TGIF restaurant, Greensboro, North Carolina        
Real Estate Acquisitions        
Contract Purchase Price   3,003,000us-gaap_PaymentsToAcquireRealEstate
/ us-gaap_BusinessAcquisitionAxis
= olp_RestaurantPropertyGreensboroNorthCarolinaMember
   
Allocation of purchase price for the company's real estate acquisitions        
Land   1,768,000us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedLand
/ us-gaap_BusinessAcquisitionAxis
= olp_RestaurantPropertyGreensboroNorthCarolinaMember
   
Building   1,054,000us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedBuildings
/ us-gaap_BusinessAcquisitionAxis
= olp_RestaurantPropertyGreensboroNorthCarolinaMember
   
Building Improvements   183,000olp_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedBuildingsImprovements
/ us-gaap_BusinessAcquisitionAxis
= olp_RestaurantPropertyGreensboroNorthCarolinaMember
   
Total   3,005,000us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedNet
/ us-gaap_BusinessAcquisitionAxis
= olp_RestaurantPropertyGreensboroNorthCarolinaMember
   
TGIF restaurant, Richmond, Virginia        
Real Estate Acquisitions        
Contract Purchase Price   3,017,000us-gaap_PaymentsToAcquireRealEstate
/ us-gaap_BusinessAcquisitionAxis
= olp_RestaurantPropertyRichmondVirginiaMember
   
Allocation of purchase price for the company's real estate acquisitions        
Land   1,678,000us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedLand
/ us-gaap_BusinessAcquisitionAxis
= olp_RestaurantPropertyRichmondVirginiaMember
   
Building   1,184,000us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedBuildings
/ us-gaap_BusinessAcquisitionAxis
= olp_RestaurantPropertyRichmondVirginiaMember
   
Building Improvements   157,000olp_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedBuildingsImprovements
/ us-gaap_BusinessAcquisitionAxis
= olp_RestaurantPropertyRichmondVirginiaMember
   
Total   3,019,000us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedNet
/ us-gaap_BusinessAcquisitionAxis
= olp_RestaurantPropertyRichmondVirginiaMember
   
Other (n)        
Real Estate Acquisitions        
Third Party Real Estate Acquisition Costs   148,000olp_CostsOfAcquiringRealEstate
/ us-gaap_BusinessAcquisitionAxis
= olp_PriorFiscalYearRealEstateAcquisitionMember
   
Texas Land & Cattle restaurant Killeen, Texas, TGIF restaurant, Greensboro, North Carolina and TGIF restaurant, Richmond, Virginia        
Allocation of purchase price for the company's real estate acquisitions        
Capitalized transaction costs incurred with the asset acquisition   50,000us-gaap_BusinessAcquisitionCostOfAcquiredEntityTransactionCosts
/ us-gaap_BusinessAcquisitionAxis
= olp_RestaurantPropertiesKilleenTexasGreensboroNCAndRichmondVAMember
   
Shopping Center, Lakewood, Colorado | Subsequent event        
Real Estate Acquisitions        
Contract Purchase Price       17,485,000us-gaap_PaymentsToAcquireRealEstate
/ us-gaap_BusinessAcquisitionAxis
= olp_ShoppingCenterLakewoodColoradoMember
/ us-gaap_SubsequentEventTypeAxis
= us-gaap_SubsequentEventMember
Mortgage incurred       $ 11,853,000us-gaap_NoncashOrPartNoncashAcquisitionDebtAssumed1
/ us-gaap_BusinessAcquisitionAxis
= olp_ShoppingCenterLakewoodColoradoMember
/ us-gaap_SubsequentEventTypeAxis
= us-gaap_SubsequentEventMember
Interest rate (as a percent)       4.12%us-gaap_DebtInstrumentInterestRateStatedPercentage
/ us-gaap_BusinessAcquisitionAxis
= olp_ShoppingCenterLakewoodColoradoMember
/ us-gaap_SubsequentEventTypeAxis
= us-gaap_SubsequentEventMember
Future amortization income of below market leases        
Number of tenant spaces at the property       29olp_NumberOfTenantSpacesAtTheProperty
/ us-gaap_BusinessAcquisitionAxis
= olp_ShoppingCenterLakewoodColoradoMember
/ us-gaap_SubsequentEventTypeAxis
= us-gaap_SubsequentEventMember
Percentage of property leased to tenants       94.50%olp_AcquiredPropertyPercentageLeased
/ us-gaap_BusinessAcquisitionAxis
= olp_ShoppingCenterLakewoodColoradoMember
/ us-gaap_SubsequentEventTypeAxis
= us-gaap_SubsequentEventMember
Ownership percentage in variable interest entity       90.00%us-gaap_VariableInterestEntityOwnershipPercentage
/ us-gaap_BusinessAcquisitionAxis
= olp_ShoppingCenterLakewoodColoradoMember
/ us-gaap_SubsequentEventTypeAxis
= us-gaap_SubsequentEventMember