N.Y. Crim. Proc. Law § 360.30

§ 360.30 Trial jury; peremptory challenge of an individaul juror.\n 1. A peremptory challenge is an objection to a prospective juror for\nwhich no reason need be assigned. Upon any peremptory challenge, the\ncourt must exclude the person challenged from service.\n 2. Each party must be allowed three peremptory challenges. When two or\nmore defendants are tried jointly, such challenges are not multiplied by\nthe number of defendants, but such defendants are to be treated as a\nsingle party. In any such case, a peremptory challenge by one or more\ndefendants must be allowed if a majority of the defendants join in such\nchallenge, or if there is a tie when there is an even number of\ndefendants. Otherwise, it must be disallowed.\n