N.Y. Civil Practice Law & Rules § 8108: Specification of denial or award of costs

§ 8108. Specification of denial or award of costs. A denial of costs

in an action to a party in whose favor the judgment is entered, an award

of costs in an action to a party against whom the judgment is entered,

an award of separate costs in an action to one or more parties, or an

apportionment of costs among several parties, shall be made in the

direction of the court for judgment, or in the report or decision upon

which judgment is entered, or, upon motion of the party to be benefited

thereby, by an order of the judge or referee who presided at the trial.

The decision on a motion shall specify the amount of costs awarded upon

the motion, if any, and each party to whom they are awarded. The

decision on appeal shall specify the disposition made in regard to

costs.