Subleasing involves the tenant of the property leasing their property or a portion of their property for a specific amount of time. The procedure for subleasing is quite complicated.A sublease office space is when the original property owner rents to someone else, who then rents the space to you. You can lease your apartment to another person. If you will be returning to live in your apartment after the other person leaves, this is called a sublease. A sublease is a legal contract between a tenant and a subtenant to rent a residential or business space for a set length of time. A tenant renting a residence may not assign his lease without the written consent of the owner, which consent may be unconditionally withheld without cause. A sublet is different to a lease assignment. Simply put, subletting is when thirdparty rents or "subleases" the property from the original tenant. Sub-Lease means the sub-lease entered into following the approval of an Approved Sub-lease;.