Flatwoods is a city in Greenup County, Kentucky, United States. The population was 7,605 at the 2000 census. Bobby F. Crager is the city's mayor. Flatwoods is a part of the Huntington-Ashland, WV-KY-OH, Metropolitan Statistical Area. As of the 2000 census, the MSA had a population of 288,649. Flatwoods apartments for rent comparison page shows most up to date rent information on Flatwoods apartments and houses. Rent information is obtained from multiple rental sources but we cannot guarantee their accuracy.