N.Y. Gen. Mun. Law § 477
Subject to the provisions of this article, and pursuant to the direction contained in subdivision two of section nine of article one of the constitution of the state, the legislature hereby gives and grants to every municipality the right, power and authority to authorize the conduct of bingo games by authorized organizations within the territorial limits of such municipality provided, however, that where the electors of a village shall hereafter approve a local law or ordinance pursuant to section four hundred seventy-eight of this article, the right, power and authority under this article of any town in which such village is located shall not extend to such village during such time as such village local law or ordinance is in effect.
N.Y. Gen. Mun. Law § 477