Sublease means to lease or rent all or part of a leased or rented property. A sublessee is someone who has the right to use and occupy rental property leased by a sublessor to a sublessee. A sublessee has responsibilities to both the lessor and the sublessor. A lessee must often get the consent of the lesssor before subleasing rental property to a sublesee. The sublessor still remains responsible for the payment of rent to the lessee and any damages to the property caused by the sublessee.