N.Y. Uniform City Ct. Act § 1403
The provisions of CPLR § 3218, relating to judgment by confession, shall be applicable in this court where the relief for which the judgment is confessed is within the jurisdiction of this court, provided, with reference to paragraph one of subdivision (a) of said section, that the affidavit specify that the defendant is a resident of the city or, if he is not such a resident, that entry is authorized in this court. If such additional requirements are fulfilled, the words "clerk of the county" as used in subdivision (b) of said section shall be deemed a reference to the clerk of this court, and the judgment confessed shall be entered in this court and shall be enforcible in the same manner and with the same effect as a judgment in an action in this court.
N.Y. Uniform City Court § 1403