N.Y. Fam. Ct. Act § 475
If the surety contests the default the court shall hear and determine the issue. In the event that the court finds that a default has been suffered, it shall make an order specifying the amount in default and forfeiting the undertaking or cash deposit to the extent of such default. A certified copy of such order shall be filed in the county clerk's office with a certified copy of the undertaking and thereupon the said clerk shall docket the same in the book kept by the clerk for the docketing of judgments, as if the same was a transcript of a judgment directed for the amount of such sum in default. The certified copy of the undertaking and of the order shall be the judgment record. Such judgment shall be a lien on all of the real estate and collectible out of the real and personal property of the surety. An execution may be issued to collect the amount thereof in the same manner as upon a judgment recovered in any court of record.
N.Y. Family Court Law § 475