Claytor may refer to:
- Gertrude Harris Boatwright Claytor (1888–1973), American poet
- Robert B. Claytor (1922–1993), American railroad administrator
- W. Graham Claytor (1886–1971), of Roanoke, Virginia, vice president of Appalachian Power Company, an electric utility service
- W. Graham Claytor, Jr. (1912–1994), American lawyer, naval officer, and railroad, transportation and defense administrator for the US government