N.J. Stat. § 2A:42-6
When a tenant for any term or any other person coming into possession of any real estate by, from or under, or by collusion with such tenant, willfully holds over any such real estate after the determination of such term and after demand made and notice in writing for delivering the possession thereof, given by his landlord or lessor, or by the person to whom the remainder or reversion of such real estate shall belong, the person so holding over shall, for and during the time he so holds over or keeps the person entitled out of possession of such real estate pay to the person so kept out of possession, his executors, administrators or assigns, at the rate of double the yearly value of the real estate so detained, for so long a time as the same is detained. Such amount shall be recoverable by an action in any court of competent jurisdiction.
N.J.S. § 2A:42-6