Greenville is a city in and the county seat of Muhlenberg County, Kentucky, United States. It is named for Revolutionary War General Nathan Greene. The population was 4,398 at the 2000 census.
Greenville is located at 37°12′26″N 87°10′35″W / 37.20722°N 87.17639°W / 37.20722; -87.17639 (37.207158, -87.176499).
According to the United States Census Bureau, the city has a total area of 4.8 square miles (12.4 km²), of which, 4.8 square miles (12.4 km²) of it is land and 0.21% is water.