N.J. Stat. Ann. § 2A:167-5

Any person who has been convicted of a crime and by reason thereof has been deprived of the right of suffrage or of any other of his civil rights or privileges, or upon whom there has been imposed a fine or who has suffered a forfeiture, except disqualification to hold and enjoy any public office of honor, profit or trust in this state under judgment of impeachment, may make application for the restoration of the right of suffrage or of such other rights or privileges or for the suspension or remission of such fine or forfeiture, which application the governor may grant by order signed by him.