Norton is a city in and the county seat of Norton County, Kansas, United States. As of the 2020 census, the population of the city was 2,747. …Norton is a city in and the county seat of Norton County, Kansas, United States. As of the 2020 census, the population of the city was 2,747. Norton was founded in 1872. Like the county, it was named for Capt. Orloff Norton.