N.Y. Assembly Rules Rule 3, § 4: Final day

§ 4. Final day. a. The final day for the unlimited introduction of

bills, including those recommended by the state government, local

governments, public authorities and other public corporations and all

departments, agencies and other instrumentalities thereof shall be the

last Tuesday in May of the second year of the term of the Assembly.

After the last Tuesday in May of such second year, no bill shall be

introduced except by the Committee on Rules, by message from the Senate

or, with the consent of the Speaker, by members elected at a special

election who take office on or after the first Tuesday in May.

b. Notwithstanding the provisions of subdivision a of this section,

bills may be introduced at any time by unanimous consent of the House.