Katsumoto HOSOKAWA was a shugo (military governor) daimyo in the Muromachi period, a kanrei (shogunal deputy or a chief official) of the Muromachi bakufu (Japanese feudal government headed by a shogun), and the head of the Hosokawa clan (as one of the so-called three shogunal deputies) in the main Hosokawa clan line.
細川勝元（ほそかわかつもと）は、室町時代の守護大名、室町幕府の管領、三管領のひとつである細川氏嫡流・細川氏の当主。