Norfolk is a city in Madison County, Nebraska, United States, 113 miles northwest of Omaha and 76 miles southwest of Sioux City, Iowa, at t…Norfolk is a city in Madison County, Nebraska, United States, 113 miles northwest of Omaha and 76 miles southwest of Sioux City, Iowa, at the intersection of U.S. Routes 81 and 275. The population was 24,955 at the 2020 census, making it the seventh-most populous city in Nebraska. It is the principal city of the Norfolk Micropolitan Statistical Area.