As of the census of 2000, there were 4,398 people, 1,859 households, and 1,217 families residing in the city. The population density was 921.7 people per square mile (356.0/km²). There were 2,047 housing units at an average density of 429.0 per square mile (165.7/km²). The racial makeup of the city was 89.88% White, 8.75% African American, 0.16% Native American, 0.09% Asian, 0.11% from other races, and 1.00% from two or more races. Hispanic or Latino of any race were 0.30% of the population. 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.