N.J. Stat. § 51:9-20
A summons or warrant issued by any court having jurisdiction in accordance with the provisions of this chapter shall be valid throughout the State, and any officer who has power to serve the said summons, or to serve said warrant and make arrest thereon, in the county where the same shall have been issued, shall have like power to serve said summons and to serve said warrant and make arrest thereon in any of the several counties of the State. If any person shall be arrested for a violation committed in the county other than that in which the arrest shall take place, the person so arrested may demand to be taken before the Superior Court or a municipal court in the county in which the arrest may have been made for the purpose of making a cash deposit or of entering into a recognizance with sufficient surety; whereupon the officer serving the said warrant shall take the person so apprehended before such a court in the county in which the arrest shall have been made, which shall thereupon fix a day for the matter to be heard before the court issuing the said warrant, and shall take from the person apprehended a cash deposit or recognizance to the State of New Jersey with sufficient surety or sureties for the appearance of the said person at the time and place designated. The cash deposit or recognizance so taken shall be returned to the court issuing the warrant, to be retained and disposed of by it as by this chapter provided.
N.J.S. § 51:9-20