New Jersey Statutes Title 2A. Administration of Civil and Criminal Justice 2A § 18-53

a. Where such person holds over and continues in possession of all or any part of the demised premises after the expiration of his term, and after demand made and written notice given by the landlord or his agent, for delivery of possession thereof. The notice shall be served either personally upon the tenant or such person in possession by giving him a copy thereof or by leaving a copy of the same at his usual place of abode with a member of his family above the age of 14 years.

b. Where such person shall hold over after a default in the payment of rent, pursuant to the agreement under which the premises are held.

c. Where such person (1) shall be so disorderly as to destroy the peace and quiet of the landlord or the other tenants or occupants living in said house or the neighborhood, or (2) shall willfully destroy, damage or injure the premises, or (3) shall constantly violate the landlord's rules and regulations governing said premises, provided, such rules have been accepted in writing by the tenant or are made a part of the lease; or (4) shall commit any breach or violation of any of the covenants or agreements in the nature thereof contained in the lease for the premises where a right of re-entry is reserved in the lease for a violation of such covenants or agreements, and shall hold over and continue in possession of the demised premises or any part thereof, after the landlord or his agent for that purpose has caused a written notice of the termination of said tenancy to be served upon said tenant, and a demand that said tenant remove from said premises within three days from the service of such notice. The notice shall specify the cause of the termination of the tenancy, and shall be served either personally upon the tenant or such person in possession by giving him a copy thereof, or by leaving a copy thereof at his usual place of abode with some member of his family above the age of 14 years.