Legal Definition of Assign: Transfer to another. In the context of a lease, the transfer by a lessee to another person of all of the lessee’s interest in the leased property; an assignment differs from a sublease in that a sublease does not transfer all of the lessee’s rights in the property | Learn about the legal definition of assign and how it applies to business and contract agreements. Discover examples of assignments and their importance in ensuring continuity and efficiency. Gain insights into how assignments can benefit both parties involved and why understanding this concept is crucial for business owners and individuals in contractual agreements