N.J. Stat. § 39:7-2
The agreement that the Director of the Division of Motor Vehicles in the Department of Law and Public Safety shall be constituted the agent, of a nonresident operator or owner of a motor vehicle, which is involved in any accident in this State, for the acceptance of process in any such action or proceeding, shall be irrevocable and binding upon the executor or administrator of such operator or owner, and service of process shall be made upon the executor or administrator of any such operator or owner dying prior to the commencement of such action or proceeding in the same manner and on the same notice as herein provided for service of process upon such operator or owner, and any such action or proceeding, duly commenced by service upon such an operator or owner under the provisions of this chapter, who shall die thereafter during the pendency of such action or proceeding, shall be continued against his executor or administrator by the court in which the same is pending, upon such application and notice as the court shall prescribe. The operating or causing to be operated of any such motor vehicle within this State shall be the signification of the agreement of such nonresident person operating the same, or of such person or persons or corporation or association for whom such motor vehicle is operated, of his, their or its agreement that any such process against him, or them, or it, or against his or their executors or administrators, which is so served shall be of the same legal force and validity as if served upon him or them personally or upon it in accordance with law within this State.
N.J.S. § 39:7-2