The Village of Celoron is a village in Chautauqua County, New York, USA. It sits on the west boundary of the City of Jamestown, New York and is surrounded by the Town of Ellicott. The population was 1,295 at the 2000 census. Celoron apartments for rent comparison page shows most up to date rent information on Celoron apartments and houses. Rent information is obtained from multiple rental sources but we cannot guarantee their accuracy.