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RELATED PARTY TRANSACTIONS (Details) (USD $)
12 Months Ended
Dec. 31, 2014
Dec. 31, 2013
Dec. 31, 2012
RELATED PARTY TRANSACTIONS      
Number of shares of common stock owned by the related party 15,728,000us-gaap_CommonStockSharesOutstanding 15,221,000us-gaap_CommonStockSharesOutstanding  
Number of shares purchased by the related party under the dividend reinvestment plan 227,000us-gaap_StockIssuedDuringPeriodSharesDividendReinvestmentPlan 210,000us-gaap_StockIssuedDuringPeriodSharesDividendReinvestmentPlan 215,000us-gaap_StockIssuedDuringPeriodSharesDividendReinvestmentPlan
Amount of fee reduction $ 445,000olp_RelatedPartyTransactionAmountOfReductionInFeePaid    
Cost of plans charged to operations 1,833,000us-gaap_AllocatedShareBasedCompensationExpense 1,440,000us-gaap_AllocatedShareBasedCompensationExpense 1,223,000us-gaap_AllocatedShareBasedCompensationExpense
Annual lease rent 296,875olp_OperatingLeasesAnnualFixedRent    
Gould      
RELATED PARTY TRANSACTIONS      
Number of shares of common stock owned by the related party 1,704,765us-gaap_CommonStockSharesOutstanding
/ us-gaap_RelatedPartyTransactionsByRelatedPartyAxis
= olp_GouldInvestorsLPMember
1,597,304us-gaap_CommonStockSharesOutstanding
/ us-gaap_RelatedPartyTransactionsByRelatedPartyAxis
= olp_GouldInvestorsLPMember
 
Ownership percentage held by the related party 10.50%olp_RelatedPartyTransactionOwnershipPercentageHeld
/ us-gaap_RelatedPartyTransactionsByRelatedPartyAxis
= olp_GouldInvestorsLPMember
10.20%olp_RelatedPartyTransactionOwnershipPercentageHeld
/ us-gaap_RelatedPartyTransactionsByRelatedPartyAxis
= olp_GouldInvestorsLPMember
 
Number of shares purchased by the related party under the dividend reinvestment plan 106,761us-gaap_StockIssuedDuringPeriodSharesDividendReinvestmentPlan
/ us-gaap_RelatedPartyTransactionsByRelatedPartyAxis
= olp_GouldInvestorsLPMember
69,595us-gaap_StockIssuedDuringPeriodSharesDividendReinvestmentPlan
/ us-gaap_RelatedPartyTransactionsByRelatedPartyAxis
= olp_GouldInvestorsLPMember
 
Number of shares purchased by the related party in the open market 700olp_NumbersOfSharesPurchasedInOpenMarketDuringPeriod
/ us-gaap_RelatedPartyTransactionsByRelatedPartyAxis
= olp_GouldInvestorsLPMember
3,700olp_NumbersOfSharesPurchasedInOpenMarketDuringPeriod
/ us-gaap_RelatedPartyTransactionsByRelatedPartyAxis
= olp_GouldInvestorsLPMember
 
Amount of insurance reimbursed 400,000olp_RelatedPartyTransactionAmountOfPropertyInsuranceReimbursed
/ us-gaap_RelatedPartyTransactionsByRelatedPartyAxis
= olp_GouldInvestorsLPMember
359,000olp_RelatedPartyTransactionAmountOfPropertyInsuranceReimbursed
/ us-gaap_RelatedPartyTransactionsByRelatedPartyAxis
= olp_GouldInvestorsLPMember
305,000olp_RelatedPartyTransactionAmountOfPropertyInsuranceReimbursed
/ us-gaap_RelatedPartyTransactionsByRelatedPartyAxis
= olp_GouldInvestorsLPMember
Majestic      
RELATED PARTY TRANSACTIONS      
Annual fee paid in consideration for providing services 2,669,000olp_RelatedPartyTransactionAnnualFeesPaidForServices
/ us-gaap_RelatedPartyTransactionsByRelatedPartyAxis
= olp_MajesticPropertyManagementCorpMember
2,725,000olp_RelatedPartyTransactionAnnualFeesPaidForServices
/ us-gaap_RelatedPartyTransactionsByRelatedPartyAxis
= olp_MajesticPropertyManagementCorpMember
2,725,000olp_RelatedPartyTransactionAnnualFeesPaidForServices
/ us-gaap_RelatedPartyTransactionsByRelatedPartyAxis
= olp_MajesticPropertyManagementCorpMember
Property management costs allocated to real estate expenses annually 850,000olp_RelatedPartyTransactionPropertyManagementCostAllocatedToRealEstateExpensesAnnually
/ us-gaap_RelatedPartyTransactionsByRelatedPartyAxis
= olp_MajesticPropertyManagementCorpMember
600,000olp_RelatedPartyTransactionPropertyManagementCostAllocatedToRealEstateExpensesAnnually
/ us-gaap_RelatedPartyTransactionsByRelatedPartyAxis
= olp_MajesticPropertyManagementCorpMember
600,000olp_RelatedPartyTransactionPropertyManagementCostAllocatedToRealEstateExpensesAnnually
/ us-gaap_RelatedPartyTransactionsByRelatedPartyAxis
= olp_MajesticPropertyManagementCorpMember
Additional payment for the entity's share of all direct office expenses 186,000olp_RelatedPartyTransactionAdditionalPaymentForShareOfDirectOfficeExpenses
/ us-gaap_RelatedPartyTransactionsByRelatedPartyAxis
= olp_MajesticPropertyManagementCorpMember
175,000olp_RelatedPartyTransactionAdditionalPaymentForShareOfDirectOfficeExpenses
/ us-gaap_RelatedPartyTransactionsByRelatedPartyAxis
= olp_MajesticPropertyManagementCorpMember
175,000olp_RelatedPartyTransactionAdditionalPaymentForShareOfDirectOfficeExpenses
/ us-gaap_RelatedPartyTransactionsByRelatedPartyAxis
= olp_MajesticPropertyManagementCorpMember
Chairman      
RELATED PARTY TRANSACTIONS      
Fee paid 250,000olp_RelatedPartyTransactionAmountPaid
/ us-gaap_RelatedPartyTransactionsByRelatedPartyAxis
= us-gaap_BoardOfDirectorsChairmanMember
250,000olp_RelatedPartyTransactionAmountPaid
/ us-gaap_RelatedPartyTransactionsByRelatedPartyAxis
= us-gaap_BoardOfDirectorsChairmanMember
250,000olp_RelatedPartyTransactionAmountPaid
/ us-gaap_RelatedPartyTransactionsByRelatedPartyAxis
= us-gaap_BoardOfDirectorsChairmanMember
Vice Chairman      
RELATED PARTY TRANSACTIONS      
Fee paid 100,000olp_RelatedPartyTransactionAmountPaid
/ us-gaap_RelatedPartyTransactionsByRelatedPartyAxis
= olp_BoardOfDirectorsViceChairmanMember
100,000olp_RelatedPartyTransactionAmountPaid
/ us-gaap_RelatedPartyTransactionsByRelatedPartyAxis
= olp_BoardOfDirectorsViceChairmanMember
100,000olp_RelatedPartyTransactionAmountPaid
/ us-gaap_RelatedPartyTransactionsByRelatedPartyAxis
= olp_BoardOfDirectorsViceChairmanMember
Subsidiary of Gould      
RELATED PARTY TRANSACTIONS      
Annual lease rent 42,000olp_OperatingLeasesAnnualFixedRent
/ us-gaap_RelatedPartyTransactionsByRelatedPartyAxis
= olp_SubsidiaryOfGouldInvestorsLPMember
41,000olp_OperatingLeasesAnnualFixedRent
/ us-gaap_RelatedPartyTransactionsByRelatedPartyAxis
= olp_SubsidiaryOfGouldInvestorsLPMember
41,000olp_OperatingLeasesAnnualFixedRent
/ us-gaap_RelatedPartyTransactionsByRelatedPartyAxis
= olp_SubsidiaryOfGouldInvestorsLPMember
Executive officers and others      
RELATED PARTY TRANSACTIONS      
Cost of plans charged to operations $ 1,045,000us-gaap_AllocatedShareBasedCompensationExpense
/ us-gaap_RelatedPartyTransactionsByRelatedPartyAxis
= olp_ExecutiveOfficersAndOthersMember
$ 867,000us-gaap_AllocatedShareBasedCompensationExpense
/ us-gaap_RelatedPartyTransactionsByRelatedPartyAxis
= olp_ExecutiveOfficersAndOthersMember
$ 743,000us-gaap_AllocatedShareBasedCompensationExpense
/ us-gaap_RelatedPartyTransactionsByRelatedPartyAxis
= olp_ExecutiveOfficersAndOthersMember