N.J. Stat. Ann. § 19:3-10

If it shall be determined in a manner hereinafter provided, that the nomination for an office of a successful candidate at any primary election is null and void, and if such determination shall have been made ten days before the election at which the candidates nominated at such primary election are to be voted for, an order shall be made by the court or judge making such determination prohibiting the printing of the name of such candidate on the ballot to be used at such election, and the name of the candidate for nomination or party position at such primary election receiving the next highest number of votes shall thereupon be printed upon the ballot as the nominee for the office.