Buckner is a census-designated place located in the U.S. state of Kentucky. It is within Oldham County. It has a total area of 7.5 square miles at 38°23′36″N 85°26′24″W. The elevation is 823 feet above sea level. As of the 2000 census data, it had a total population of 4,000. The population density was 543.8/sq mi. Estimated per capita income in 2016 was $20,976. It has Zip code 40010.