Princeton is a home rule-class city in Caldwell County, Kentucky, in the United States. It is the seat of its county. The population was 6,329 during the 2010 U.S. Census. Princeton is home to several notable attractions such as Adsmore Museum, Champion-Shepherdson House (home of the Princeton Art Guild), University of Kentucky Research and Education Center Botanical Garden, Capitol Cinemas, the Annual Black Patch Festival, and Newsom's Aged Kentucky Ham.