Yoriyuki's younger brother Yorimoto HOSOKAWA was adopted by Yoriyuki and thereby became Kanrei, the Hosokawa clan being one of the families that occupied that positoin through the Muromachi period, the others being the Shiba clan and the Hatakeyama clan.
弟である細川頼元は頼之の養子として管領となり、細川氏は室町時代を通じて斯波氏、畠山氏とともに管領家となる。