N.Y.C. Admin. Code § 14-141: § 14-141 Common law and statutory powers of constables.

The members of the force while on duty in the city and whenever in any other part of this state, shall possess all the common law and statutory powers of constables, except for the service of civil process, and any warrant for search or arrest, issued by any judge of this state, may be executed, in any part thereof, by any member of the force.