N.Y. Fam. Ct. Act § 1114 : — FAMILY COURTAPPEALS — Effect of appeal; stay

(a) The timely filing of a notice of appeal under this article does not stay the order from which the appeal is taken.

(b) Except as provided in subdivision (d) of this section, a justice of the appellate division to which an appeal is taken may stay execution of the order from which the appeal is taken on such conditions, if any, as may be appropriate.

(c) If the order appealed from is an order of support under articles four or five, the stay may be conditioned upon the giving of sufficient surety by a written undertaking approved by such judge of the appellate division, that during the pendency of the appeal, the appellant will pay the amount specified in the order to the family court from whose order the appeal is taken. The stay may further provide that the family court (i) shall hold such payments in escrow, pending determination of the appeal or (ii) shall disburse such payments or any part of them for the support of the petitioner or other person for whose benefit the order was made.

(d) Any party to a child protective proceeding, or the attorney for the child, may apply to a justice of the appellate division for a stay of an order issued pursuant to part two of article ten of this chapter returning a child to the custody of a respondent. The party applying for the stay shall notify the attorneys for all parties and the attorney for the child of the time and place of such application. If requested by any party present, oral argument shall be had on the application, except for good cause stated upon the record. The party applying for the stay shall state in the application the errors of fact or law allegedly committed by the family court. A party applying to the court for the granting or continuation of such stay shall make every reasonable effort to obtain a complete transcript of the proceeding before the family court.

If a stay is granted, a schedule shall be set for an expedited appeal.

N.Y. Family Court Law § 1114