ASSIGNMENT AND SUB-LETTING. Create a sublease agreement to legally sublet your property.Our sublease contract template allows a tenant to rent a unit to a subtenant. This agreement is to sublet real property according to the terms specified below. Take over a used car lease. No money down leases! An Ohio Lease Agreement form is a legal document that outlines the terms and conditions between a landlord and a tenant for the rental of property in Ohio. A sublease agreement is considered a written document that offers the lessee a chance to pass on the responsibility and rights of tenancy to another person. If I never signed a lease agreement and someone sublet the property to me without obtaining signatures from the landlord. Writing a sublease agreement.