A lease that is sublet still holds the original tenant responsible. A sublease agreement is considered a written document that offers the lessee a chance to pass on the responsibility and rights of tenancy to another person.Subletting is renting out an apartment, or any property, that has your name on the lease. Imagine having six months left on your 12-month lease. A Massachusetts lease agreement is a legally binding contract between a landlord and a tenant, outlining the terms and conditions for renting a property. A valid Massachusetts sublease agreement must describe the property in great detail. This includes the address, size, and purpose. A sublease agreement is a contract between a tenant (the original tenant) and a new tenant. A Massachusetts lease agreement is a legally binding contract between a landlord and a tenant, outlining the terms and conditions for renting a property. A sublease agreement is a legal contract signed between a tenant and a third party allowing the latter to rent out the entire property or any part of it.