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LEASES - As Lessor - Lease Incentives (Details) - USD ($)	12 Months Ended
	Dec. 31, 2023	Dec. 31, 2022
Lease Incentives
Unamortized lease incentives	$ 1,095,000	$ 1,300,000
Lease incentives amortized	121,000	$ 44,000
Write-off of unamortized lease incentives	$ 84,000
Amortization term of lease incentives	10 years

X

- Definition

The term over which loan incentives are amortized, in PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents the reported fact of one year, five months, and thirteen days.

+ References

No definition available.

+ Details

Name:	olp_LeaseIncentiveAmortizationTerm
Namespace Prefix:	olp_
Data Type:	xbrli:durationItemType
Balance Type:	na
Period Type:	duration

X

- References

No definition available.

+ Details

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

X

- Definition

Amount of amortization of lease incentive costs incurred by the lessor for the benefit of the lessee.

+ References

No definition available.

+ Details

Name:	olp_LeaseIncentivesAmortized
Namespace Prefix:	olp_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	duration

X

- Definition

Amount of unamortized lease incentives written off due to the sale of the related property.

+ References

No definition available.

+ Details

Name:	olp_LeaseIncentivesWriteOffOfUnamortizedLeaseIncentiveDueToSaleOfProperty
Namespace Prefix:	olp_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	duration

X

- Definition

The amount of unamortized lease incentives..

+ References

No definition available.

+ Details

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