New Jersey Statutes Title 19. Elections 19 § 3-5.1

No person may accept a nomination by petition in the manner provided by R.S.19:13-8 or consent to the acceptance of a nomination in a petition for a primary election in the manner provided by R.S.19:23-7, for more than one office to be filled at the same general election, the simultaneous holding of which would be prohibited by the Constitution of the State of New Jersey or R.S.19:3-5.No provision of Title 19 of the Revised Statutes, or of any other law, rule, or regulation shall be interpreted as to prevent a person from accepting a nomination by petition in the manner provided by R.S.19:13-8 or consenting to the acceptance of a nomination in a petition for a primary or general election in the manner provided by R.S.19:23-7 for the offices of Member of the United States House of Representatives or United States Senator and President or Vice President of the United States to be filled at the same general election. Notwithstanding any provision of Title 19 of the Revised Statutes or any other law, rule, or regulation, a person may appear on the ballot as a candidate for the offices of Member of the United States House of Representatives or United States Senator and President or Vice President of the United States simultaneously.