Centerville is a town in Allegany County, New York, United States. The population was 822 at the 2010 census. The town is in the northwest corner of Allegany County and is named after its principal settlement.

Allegany County is a county in the U.S. state of New York. As of the 2020 census, the population was 46,456. Its county seat is Belmont. Its name derives from a Lenape word, applied by European-American settlers of Western New York State to a trail that followed the Allegheny River; they also named the county after this. The county is part of the Western New York region of the state.