Kiester is a city in Faribault County, Minnesota, United States. The population was 501 at the 2010 census. A post office called Kiester h…Kiester is a city in Faribault County, Minnesota, United States. The population was 501 at the 2010 census. A post office called Kiester has been in operation since 1882. The city was named for county judge Jacob Armel Kiester.