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QUARTERLY FINANCIAL DATA (Unaudited): (Details) (USD $)
In Thousands, except Per Share data, unless otherwise specified
3 Months Ended 12 Months Ended
Dec. 31, 2014
Sep. 30, 2014
Jun. 30, 2014
Mar. 31, 2014
Dec. 31, 2013
Sep. 30, 2013
Jun. 30, 2013
Mar. 31, 2013
Dec. 31, 2014
Dec. 31, 2013
Dec. 31, 2012
QUARTERLY FINANCIAL DATA (Unaudited):                      
Rental revenues as previously reported         $ 14,166olp_RevenuesIncludingRevenueFromDiscontinuedOperationsAsPreviouslyReported $ 13,214olp_RevenuesIncludingRevenueFromDiscontinuedOperationsAsPreviouslyReported $ 12,227olp_RevenuesIncludingRevenueFromDiscontinuedOperationsAsPreviouslyReported $ 12,102olp_RevenuesIncludingRevenueFromDiscontinuedOperationsAsPreviouslyReported   $ 51,709olp_RevenuesIncludingRevenueFromDiscontinuedOperationsAsPreviouslyReported  
Revenues from discontinued operations           (244)us-gaap_DisposalGroupIncludingDiscontinuedOperationRevenue (246)us-gaap_DisposalGroupIncludingDiscontinuedOperationRevenue (240)us-gaap_DisposalGroupIncludingDiscontinuedOperationRevenue   (730)us-gaap_DisposalGroupIncludingDiscontinuedOperationRevenue  
Total revenues 15,223us-gaap_RealEstateRevenueNet 15,187us-gaap_RealEstateRevenueNet 15,665us-gaap_RealEstateRevenueNet 14,402us-gaap_RealEstateRevenueNet 14,166us-gaap_RealEstateRevenueNet 12,970us-gaap_RealEstateRevenueNet 11,981us-gaap_RealEstateRevenueNet 11,862us-gaap_RealEstateRevenueNet 60,477us-gaap_RealEstateRevenueNet 50,979us-gaap_RealEstateRevenueNet 43,793us-gaap_RealEstateRevenueNet
Income from continuing operations 11,601us-gaap_IncomeLossFromContinuingOperationsIncludingPortionAttributableToNoncontrollingInterest 2,647us-gaap_IncomeLossFromContinuingOperationsIncludingPortionAttributableToNoncontrollingInterest 4,662us-gaap_IncomeLossFromContinuingOperationsIncludingPortionAttributableToNoncontrollingInterest 3,287us-gaap_IncomeLossFromContinuingOperationsIncludingPortionAttributableToNoncontrollingInterest 3,405us-gaap_IncomeLossFromContinuingOperationsIncludingPortionAttributableToNoncontrollingInterest 3,084us-gaap_IncomeLossFromContinuingOperationsIncludingPortionAttributableToNoncontrollingInterest 7,607us-gaap_IncomeLossFromContinuingOperationsIncludingPortionAttributableToNoncontrollingInterest 3,313us-gaap_IncomeLossFromContinuingOperationsIncludingPortionAttributableToNoncontrollingInterest 22,197us-gaap_IncomeLossFromContinuingOperationsIncludingPortionAttributableToNoncontrollingInterest 17,409us-gaap_IncomeLossFromContinuingOperationsIncludingPortionAttributableToNoncontrollingInterest 11,328us-gaap_IncomeLossFromContinuingOperationsIncludingPortionAttributableToNoncontrollingInterest
Income from discontinued operations       13us-gaap_IncomeLossFromDiscontinuedOperationsNetOfTax 90us-gaap_IncomeLossFromDiscontinuedOperationsNetOfTax 144us-gaap_IncomeLossFromDiscontinuedOperationsNetOfTax 145us-gaap_IncomeLossFromDiscontinuedOperationsNetOfTax 136us-gaap_IncomeLossFromDiscontinuedOperationsNetOfTax 13us-gaap_IncomeLossFromDiscontinuedOperationsNetOfTax 515us-gaap_IncomeLossFromDiscontinuedOperationsNetOfTax 20,980us-gaap_IncomeLossFromDiscontinuedOperationsNetOfTax
Net income 11,601us-gaap_ProfitLoss 2,647us-gaap_ProfitLoss 4,662us-gaap_ProfitLoss 3,300us-gaap_ProfitLoss 3,495us-gaap_ProfitLoss 3,228us-gaap_ProfitLoss 7,752us-gaap_ProfitLoss 3,449us-gaap_ProfitLoss 22,210us-gaap_ProfitLoss 17,924us-gaap_ProfitLoss 32,308us-gaap_ProfitLoss
Net income attributable to One Liberty Properties, Inc. 11,583us-gaap_NetIncomeLoss 2,620us-gaap_NetIncomeLoss 4,640us-gaap_NetIncomeLoss 3,273us-gaap_NetIncomeLoss 3,478us-gaap_NetIncomeLoss 3,211us-gaap_NetIncomeLoss 7,736us-gaap_NetIncomeLoss 3,450us-gaap_NetIncomeLoss 22,116us-gaap_NetIncomeLoss 17,875us-gaap_NetIncomeLoss 32,320us-gaap_NetIncomeLoss
Weighted average number of common shares outstanding:                      
Basic (in shares) 15,727us-gaap_WeightedAverageNumberOfSharesOutstandingBasic 15,650us-gaap_WeightedAverageNumberOfSharesOutstandingBasic 15,518us-gaap_WeightedAverageNumberOfSharesOutstandingBasic 15,356us-gaap_WeightedAverageNumberOfSharesOutstandingBasic 15,178us-gaap_WeightedAverageNumberOfSharesOutstandingBasic 15,093us-gaap_WeightedAverageNumberOfSharesOutstandingBasic 14,844us-gaap_WeightedAverageNumberOfSharesOutstandingBasic 14,672us-gaap_WeightedAverageNumberOfSharesOutstandingBasic 15,563us-gaap_WeightedAverageNumberOfSharesOutstandingBasic 14,948us-gaap_WeightedAverageNumberOfSharesOutstandingBasic 14,427us-gaap_WeightedAverageNumberOfSharesOutstandingBasic
Diluted (in shares) 15,827us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding 15,750us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding 15,618us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding 15,456us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding 15,278us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding 15,193us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding 14,944us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding 14,772us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding 15,663us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding 15,048us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding 14,527us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding
Basic:                      
Income from continuing operations (in dollars per share) $ 0.71us-gaap_IncomeLossFromContinuingOperationsPerBasicShare $ 0.16us-gaap_IncomeLossFromContinuingOperationsPerBasicShare $ 0.29us-gaap_IncomeLossFromContinuingOperationsPerBasicShare $ 0.20us-gaap_IncomeLossFromContinuingOperationsPerBasicShare $ 0.21us-gaap_IncomeLossFromContinuingOperationsPerBasicShare $ 0.19us-gaap_IncomeLossFromContinuingOperationsPerBasicShare $ 0.50us-gaap_IncomeLossFromContinuingOperationsPerBasicShare $ 0.21us-gaap_IncomeLossFromContinuingOperationsPerBasicShare $ 1.37us-gaap_IncomeLossFromContinuingOperationsPerBasicShare $ 1.12us-gaap_IncomeLossFromContinuingOperationsPerBasicShare $ 0.77us-gaap_IncomeLossFromContinuingOperationsPerBasicShare
Income from discontinued operations (in dollars per share)         $ 0.01us-gaap_IncomeLossFromDiscontinuedOperationsNetOfTaxPerBasicShare $ 0.01us-gaap_IncomeLossFromDiscontinuedOperationsNetOfTaxPerBasicShare $ 0.01us-gaap_IncomeLossFromDiscontinuedOperationsNetOfTaxPerBasicShare $ 0.01us-gaap_IncomeLossFromDiscontinuedOperationsNetOfTaxPerBasicShare   $ 0.03us-gaap_IncomeLossFromDiscontinuedOperationsNetOfTaxPerBasicShare $ 1.41us-gaap_IncomeLossFromDiscontinuedOperationsNetOfTaxPerBasicShare
Total per common share attributable to common stockholders - basic (in dollars per share) $ 0.71us-gaap_EarningsPerShareBasic $ 0.16us-gaap_EarningsPerShareBasic $ 0.29us-gaap_EarningsPerShareBasic $ 0.20us-gaap_EarningsPerShareBasic $ 0.22us-gaap_EarningsPerShareBasic $ 0.20us-gaap_EarningsPerShareBasic $ 0.51us-gaap_EarningsPerShareBasic $ 0.22us-gaap_EarningsPerShareBasic $ 1.37us-gaap_EarningsPerShareBasic $ 1.15us-gaap_EarningsPerShareBasic $ 2.18us-gaap_EarningsPerShareBasic
Diluted:                      
Income from continuing operations (in dollars per share) $ 0.71us-gaap_IncomeLossFromContinuingOperationsPerDilutedShare $ 0.16us-gaap_IncomeLossFromContinuingOperationsPerDilutedShare $ 0.29us-gaap_IncomeLossFromContinuingOperationsPerDilutedShare $ 0.20us-gaap_IncomeLossFromContinuingOperationsPerDilutedShare $ 0.21us-gaap_IncomeLossFromContinuingOperationsPerDilutedShare $ 0.19us-gaap_IncomeLossFromContinuingOperationsPerDilutedShare $ 0.49us-gaap_IncomeLossFromContinuingOperationsPerDilutedShare $ 0.21us-gaap_IncomeLossFromContinuingOperationsPerDilutedShare $ 1.37us-gaap_IncomeLossFromContinuingOperationsPerDilutedShare $ 1.11us-gaap_IncomeLossFromContinuingOperationsPerDilutedShare $ 0.76us-gaap_IncomeLossFromContinuingOperationsPerDilutedShare
Income from discontinued operations (in dollars per share)         $ 0.01us-gaap_IncomeLossFromDiscontinuedOperationsNetOfTaxPerDilutedShare $ 0.01us-gaap_IncomeLossFromDiscontinuedOperationsNetOfTaxPerDilutedShare $ 0.01us-gaap_IncomeLossFromDiscontinuedOperationsNetOfTaxPerDilutedShare $ 0.01us-gaap_IncomeLossFromDiscontinuedOperationsNetOfTaxPerDilutedShare   $ 0.03us-gaap_IncomeLossFromDiscontinuedOperationsNetOfTaxPerDilutedShare $ 1.40us-gaap_IncomeLossFromDiscontinuedOperationsNetOfTaxPerDilutedShare
Total per common share attributable to common stockholders - diluted (in dollars per share) $ 0.71us-gaap_EarningsPerShareDiluted $ 0.16us-gaap_EarningsPerShareDiluted $ 0.29us-gaap_EarningsPerShareDiluted $ 0.20us-gaap_EarningsPerShareDiluted $ 0.22us-gaap_EarningsPerShareDiluted $ 0.20us-gaap_EarningsPerShareDiluted $ 0.50us-gaap_EarningsPerShareDiluted $ 0.22us-gaap_EarningsPerShareDiluted $ 1.37us-gaap_EarningsPerShareDiluted $ 1.14us-gaap_EarningsPerShareDiluted $ 2.16us-gaap_EarningsPerShareDiluted
Gain on real estate                 10,180us-gaap_GainsLossesOnSalesOfInvestmentRealEstate    
Prepayment costs on debt related to sale of real estate                 $ (1,581)olp_PrepaymentCostsOnDebtRelatedToSale