Troy is a city in and the county seat of Rensselaer County, New York, United States. It is located on the western edge of the county, on the eastern bank of the Hudson River just northeast of the capital city of Albany. At the 2020 census, the population of Troy was 51,401. Troy has close ties to Albany and nearby Schenectady, forming a region called the Capital District, which has a population of 1.24 million.