Stony Point is a town in Rockland County, New York, United States. It is part of the New York City Metropolitan Area. The town is located north of the town of Haverstraw, east and south of Orange County, and west of the Hudson River and Westchester County. The population was 14,813 at the 2020 census. The name of the town is derived from a prominent proj…Stony Point is a town in Rockland County, New York, United States. It is part of the New York City Metropolitan Area. The town is located north of the town of Haverstraw, east and south of Orange County, and west of the Hudson River and Westchester County. The population was 14,813 at the 2020 census. The name of the town is derived from a prominent projection into the Hudson River.