Central City is a city in Linn County, Iowa, United States. The population was 1,264 at the 2020 census. It is part of the Cedar Rapids Metropo…Central City is a city in Linn County, Iowa, United States. The population was 1,264 at the 2020 census. It is part of the Cedar Rapids Metropolitan Statistical Area. Central City was founded in the 1850s. The name Central City refers to its location within proximity to railroads.