N.Y. Crim. Proc. Law § 120.55
If the defendant named within a warrant of arrest issued by a local criminal court or youth part of the superior court pursuant to the provisions of this article, or by a superior court issued pursuant to subdivision three of section 210.10 of this chapter, is under the supervision of the state department of corrections and community supervision or a local or state probation department, then a warrant for his or her arrest may be executed by a parole officer or probation officer, when authorized by his or her probation director, within his or her geographical area of employment. The execution of the warrant by a parole officer or probation officer shall be upon the same conditions and conducted in the same manner as provided for execution of a warrant by a police officer.
N.Y. Crim. Proc. Law § 120.55