N.Y. Jud. Law § 798
Upon the application of a person, who has been fined by a court, or of a person whose recognizance has become forfeited, or of his surety or of a person who has posted cash bail, or bail by credit card or similar device which has been forfeited, the county court of the county in which the term of the court was held, where the fine was imposed, or the recognizance taken, may, except as otherwise prescribed in section seven hundred and ninety-nine; upon good cause shown, and upon such terms as it deems just, make an order, remitting the fine, wholly or partly, or the forfeiture of the recognizance, or part of the penalty thereof; or it may discharge the recognizance. If a fine so remitted has been paid, the county treasurer, or other officer, in whose hands the money remains, must pay the same, or the part remitted, according to the order.
N.Y. Jud. Law § 798