New York Consolidated Laws, Civil Practice Law and Rules - CVP Rule 3217. Voluntary discontinuance

(a) Without an order. Any party asserting a claim may discontinue it without an order

(b) By order of court. Except as provided in subdivision (a), an action shall not be discontinued by a party asserting a claim except upon order of the court and upon terms and conditions, as the court deems proper. After the cause has been submitted to the court or jury to determine the facts the court may not order an action discontinued except upon the stipulation of all parties appearing in the action.

(c) Effect of discontinuance. Unless otherwise stated in the notice, stipulation or order of discontinuance, the discontinuance is without prejudice, except that a discontinuance by means of notice operates as an adjudication on the merits if the party has once before discontinued by any method an action based on or including the same cause of action in a court of any state or the United States.

(d) All notices, stipulations, or certificates pursuant to this rule shall be filed with the county clerk by the defendant.

(e) Effect of discontinuance upon certain instruments. In any action on an instrument described under subdivision four of section two hundred thirteen of this chapter, the voluntary discontinuance of such action, whether on motion, order, stipulation or by notice, shall not, in form or effect, waive, postpone, cancel, toll, extend, revive or reset the limitations period to commence an action and to interpose a claim, unless expressly prescribed by statute.