Buckhorn is a home rule-class city located in the U.S. state of Kentucky. It is within Perry County. It has a total area of 0.5 square miles at 37°20′45″N 83°28′16″W. The elevation is 755 feet above sea level. As of the 2010 census data, it had a total population of 162. The population density was 289/sq mi. Estimated per capita income in 2016 was $26,671. It has Zip code 41721.