Center Point is a city in Linn County, Iowa, United States. The population was 2,579 at the 2020 census. It is part of the Cedar Rapids Metropo…Center Point is a city in Linn County, Iowa, United States. The population was 2,579 at the 2020 census. It is part of the Cedar Rapids Metropolitan Statistical Area. The first house was built in Center Point in 1854.