In a sublet, the new renter makes rent payments to the property owner. A sublet allows direct landlord communication with the subtenant, unlike a sublease, where the legal relationship is between the primary and subtenant.A sublease agreement in Ohio is a legal document that establishes the agreement between the tenant on the original lease agreement and the new tenant. Subletting is the same as subleasing; the two words are interchangeable. As long as your landlord, or state law, approves, anyone can sublet. Subleasing is when the person whose name is on the lease finds another person to pay the monthly rent. That person is the subtenant. Technically, a tenant can sublease in Ohio without the landlord's permission is subletting is not expressly prohibited in the lease. Creating an Ohio lease agreement can be done in a few different ways. The difference lies in who ends up in charge of the lease.