Buxton is a city in Traill County, North Dakota, United States. The population was 348 at the 2020 census. Buxton was founded in 1880…Buxton is a city in Traill County, North Dakota, United States. The population was 348 at the 2020 census. Buxton was founded in 1880. Today, it has become a bedroom community for the nearby Greater Grand Forks metropolitan area.