N.Y. Jud. Law § 775
Where an offender, imprisoned as prescribed in this article, is unable to endure the imprisonment, or to pay the sum, or perform the act or duty, required to be paid or performed, in order to entitle him to be released, the court, judge, or referee may, in its or his discretion, and upon such terms as justice requires, make an order, directing him to be discharged from the imprisonment.
Where the commitment was made to punish a contempt of court committed with respect to an enforcement procedure under the civil practice law and rules, and the offender has purged himself of contempt as provided in section seven hundred seventy-two or seven hundred seventy-three of this article, the court out of which the execution was issued shall make an order directing him to be discharged from the imprisonment.
N.Y. Jud. Law § 775