The monthly lease in Texas, often referred to as an “agreement lease,” allows a person to rent a unit without a given end date. In other words, the tenancy agreement between the lessor and the tenant is maintained until either the lessor or the tenant sends a termination of the contract. All other aspects of this lease are the same as for any standard housing contract. Once a landlord has accepted a candidate as a tenant, they become one. The Texas rental form can be useful if you`re trying to rent out your property in a hurry. This form, also known as a monthly lease agreement or “post-authorization lease,” can be used instead of the Texas Lease Agreement if you want to enter into a short-term lease agreement. .