A parking space lease agreement is a legal document between a landlord who agrees to rent a parking space to a tenant for payment. A Parking Space Lease Agreement is a legally binding document that outlines the terms and conditions under which a parking space is leased to a tenant.A landlord has vehicle towing or parking rules or policies that apply to the tenant, the landlord shall provide to the tenant a copy of the rules or policies. Create an attorneydrafted Texas lease agreement template with stepbystep guidance. Download to PDF or MS Word. Free Parking Space Rental Agreement template. Download our simple template for Word, PDF or Google Docs. The agreement provides a fixed parking space or area and saves time finding a free parking lot to leave a car, especially in a crowded city. Landlord and Tenant. 3. Rent. A Texas lease agreement is a written contract explaining the inner workings of a rental transaction involving a piece of real estate.