N.Y.C. Admin. Code § 14-130: § 14-130 Returns of arrests; accused to be taken before judge of the criminal court.

a. Every arrest made by any member of the force shall be made known immediately to the superior on duty in the precinct wherein the arrest was made, by the person making the same. It shall be the duty of such superior, to make written return of such arrest within twenty-four hours, according to the rules and regulations of the department, with the name of the party arrested, the alleged offense, the time and place of arrest, and the place of detention.

b. Each member of the force, under the penalty of ten days' fine, or dismissal from the force, at the discretion of the commissioner, immediately upon an arrest, shall convey in person the offender before the nearest sitting judge of the criminal court, that he or she may be dealt with according to law. If the arrest is made during the hours that the judge of the criminal court does not regularly hold court, or if the judge of the criminal court is not holding court, such offender may be detained in a precinct or station house thereof, until the next regular public sitting of the judge of the criminal court, and no longer, and shall then be conveyed without delay before the judge of the criminal court to be dealt with according to law.