N.Y. C.P.L.R. 8108

§ 8108. Specification of denial or award of costs. A denial of costs\nin an action to a party in whose favor the judgment is entered, an award\nof costs in an action to a party against whom the judgment is entered,\nan award of separate costs in an action to one or more parties, or an\napportionment of costs among several parties, shall be made in the\ndirection of the court for judgment, or in the report or decision upon\nwhich judgment is entered, or, upon motion of the party to be benefited\nthereby, by an order of the judge or referee who presided at the trial.\nThe decision on a motion shall specify the amount of costs awarded upon\nthe motion, if any, and each party to whom they are awarded. The\ndecision on appeal shall specify the disposition made in regard to\ncosts.\n