NY CONST Art. 6, § 7
§ 7. [Jurisdiction of supreme court; new classes of actions]

a. The supreme court shall have general original jurisdiction in law and equity and the appellate jurisdiction herein provided.  In the city of New York, it shall have exclusive jurisdiction over crimes prosecuted by indictment, provided, however, that the legislature may grant to the city-wide court of criminal jurisdiction of the city of New York jurisdiction over misdemeanors prosecuted by indictment and to the family court in the city of New York jurisdiction over crimes and offenses by or against minors or between spouses or between parent and child or between members of the same family or household.

b. If the legislature shall create new classes of actions and proceedings, the supreme court shall have jurisdiction over such classes of actions and proceedings, but the legislature may provide that another court or other courts shall also have jurisdiction and that actions and proceedings of such classes may be originated in such other court or courts.

NY JUD § 140-b
§ 140-b. General jurisdiction of supreme court

The general jurisdiction in law and equity which the supreme court possesses under the provisions of the constitution includes all the jurisdiction which was possessed and exercised by the supreme court of the colony of New York at any time, and by the court of chancery in England on the fourth day of July, seventeen hundred seventy-six, with the exceptions, additions and limitations created and imposed by the constitution and laws of the state. Subject to those exceptions and limitations the supreme court of the state has all the powers and authority of each of those courts and may exercise them in like manner.