Lawton is a city in Woodbury County, Iowa, Iowa, United States. It is part of the Sioux City metropolitan area. The population was 943 at the ti…Lawton is a city in Woodbury County, Iowa, Iowa, United States. It is part of the Sioux City metropolitan area. The population was 943 at the time of the 2020 census. Lawton was platted in 1901. It was named for J. C. Law, an early settler and native of Lawton, Michigan. A post office has been in operation in Lawton since 1902.