Subsequently, the Hosokawa clan continued to serve in the kanrei post of the Muromachi bakfu (Japanese feudal government headed by a shogun) as one of the Sankanrei (three families in the post of kanrei, or shogunal deputy) after Yorimoto.
頼元以後も細川氏は三管領の1つとして室町幕府の管領を務める家柄となる。