N.Y. Uniform City Ct. Act § 1907
Costs, together with fees paid to the clerk and the fee for issuing execution to the enforcement officer, must be taxed by the clerk forthwith upon rendition of judgment and inserted therein. Upon issuing a transcript the clerk shall include therein the prospective fees of the county clerk and sheriff. Other taxable disbursements shall be taxed by the clerk on two days' notice to be given by the party entitled thereto to the adverse party. The clerk shall also tax costs allowed by an appellate court and shall enter all items of costs and disbursements in the docket book. All disbursements taxable on notice must be verified by affidavit. The clerk must examine all items presented to him for taxation and, before allowing any disbursements, must be satisfied that the items were necessarily incurred or that the services for which they are charged were necessarily performed.
N.Y. Uniform City Court § 1907