Rome is a city in Oneida County, New York, United States. The population was 34,950 at the 2000 census. It is in New York's 24th congressional district. The city is named after Rome, Italy. It is sometimes nicknamed 'The Copper City' on account of the brass and copper works founded by Paul Revere in 1801. Rome apartments for rent comparison page shows most up to date rent information on Rome apartments and houses. Rent information is obtained from multiple rental sources but we cannot guarantee their accuracy.