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REAL ESTATE INVESTMENTS AND MINIMUM FUTURE RENTALS - Lease Termination Fee (Details)	1 Months Ended
	Jul. 31, 2018 USD ($)
Lease Termination Fee
Lease termination fee	$ 372,000
Additional rental income from write-off of unamortized intangible lease liability and unbilled rent receivable	804,000
Write-off of the unamortized intangible lease liability	878,000
Write-off of unbilled rent receivable	$ 74,000

X

- Definition

Additional Rental Income From Write-Off of Unamortized Intangible Lease Liability And Unbilled Rent Receivable

+ References

No definition available.

+ Details

Name:	olp_AdditionalRentalIncomeFromWriteOffOfUnamortizedIntangibleLeaseLiabilityAndUnbilledRentReceivable
Namespace Prefix:	olp_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	duration

X

- Definition

Amount represents gross lease termination fee.

+ References

No definition available.

+ Details

Name:	olp_LeaseTerminationFeeGross
Namespace Prefix:	olp_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	duration

X

- Definition

n/a

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No definition available.

+ Details

Name:	olp_LeaseTerminationFeesAbstract
Namespace Prefix:	olp_
Data Type:	xbrli:stringItemType
Balance Type:	na
Period Type:	duration

X

- Definition

Represents the amount of unbilled rent receivable written off during the period.

+ References

No definition available.

+ Details

Name:	olp_WriteOffOfUnbilledRentReceivable
Namespace Prefix:	olp_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	duration

X

- Definition

Represents the amount write-off of the unamortized intangible lease liability.

+ References

No definition available.

+ Details

Name:	olp_WriteOffUnamortizedIntangibleLeaseLiability
Namespace Prefix:	olp_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	instant