High Quality Content by WIKIPEDIA articles! Muhlenberg County is a county located in the U.S. state of Kentucky. As of 2000, the population was 31,839. The county is named for Peter Muhlenberg. Its county seat is Greenville. The Central City Micropolitan Statistical Area includes all of Muhlenberg County. Central City is the largest city in the county with a 2000 Census of 5,893 residents.