Family Court in New York is a court of limited jurisdiction. Family Court is created by statute, the Family Court Act, and as such, its authority is limited to what was specifically conferred by the Family Court Act. Family Court has concurrent jurisdiction with Supreme Court for all matters granted to it, but in practice, will be the exclusive court where some matters are heard. Family Court is authorized to hear juvenile delinquency proceedings, spousal support, child support matters, paternity, custody, visitation, family offense proceedings, reconciliation proceedings, child neglect & abuse proceedings, adoptions, and termination of parental rights. The authority to grant a divorce was specifically omitted from the powers conferred to Family Court, and is retained exclusively by Supreme Court.
See the article "Supreme Court v. Family Court" for more information.