Leased vehicles must be registered in the names of both the lessor and the lessee. The lessor is designated as LSR; the lessee is designated as LSE.Make sure you have a clear Vehicle Leasing Agreement. The most essential lease conditions relate to liability, responsibility, and ownership. A vehicle lease is a long-term rental. Leasing a car (or other motor vehicle) involves taking possession of a car for a fixed period of time (term), for a fixed amount of money as a monthly payment. A motor vehicle lease agreement is an arrangement between a vehicle owner and another party that sets terms for the lease. The agreement requires input of specific information, such as the names of the landlord and tenant, the property address, the lease term, and the rental amount. This documentation can be as little as a current driver's license and proof of a valid insurance policy, or it could be a lot more. 1. Review your lease contract: : Familiarize yourself with the terms of your lease agreement, including any end-of-lease provisions or requirements. 2.