N.J. Stat. § 19:34-22
If a person not entitled to vote at any primary election as herein provided shall vote or offer to vote at such primary meeting or caucus knowing or having reason to believe himself not entitled to so vote, or if any person shall counsel or procure anyone to so vote, knowing or having reason to believe such voter not entitled to do so, or if any person having voted at any primary meeting held by any political party or organization to nominate candidates or to elect delegates to nominate candidates, to be voted for at any election, shall vote or offer to vote at the primary meeting held by any other political party or organization held to nominate candidates or to elect delegates to nominate candidates, to be voted for at the same election, such person shall be guilty of a crime of the fourth degree.
N.J.S. § 19:34-22