N.Y. Const. art. II, § 8

All laws creating, regulating or affecting boards or officers charged with the duty of qualifying voters, or of distributing ballots to voters, or of receiving, recording or counting votes at elections, shall secure equal representation of the two political parties which, at the general election next preceding that for which such boards or officers are to serve, cast the highest and the next highest number of votes. All such boards and officers shall be appointed or elected in such manner, and upon the nomination of such representatives of said parties respectively, as the legislature may direct. Existing laws on this subject shall continue until the legislature shall otherwise provide. This section shall not apply to town, or village elections.