Clardy is a surname. People with this surname include:
- H. Stacy Clardy (born 1960), American soldier
- Jon Clardy (born 1943), American scientist
- John Daniel Clardy (1828–1918), American politician
- Josephine Clardy Fox (1881–1970), American businesswoman and philanthropist
- Kit Clardy (1892–1961), American politician
- Martin L. Clardy (1844–1914), American politician
- Travis Clardy (born 1962), American attorney