An Ohio lease agreement is a legal contract written for a landlord seeking to rent residential or commercial property to a tenant. Rental Application – Potential tenants can be asked to fill out this form that asks for employment information and their rental history.Create your free online lease agreement. Build a customizable rental agreement you can edit, share and sign online. An Ohio lease agreement is a physical (or digital) record confirming the details of a rental arrangement for real property. Set the terms for renting property. 1. Enter the date and names of the landlord and tenant.