From the time of MINAMOTO no Michichika's son Michiteru onward, the Minamoto family name was changed to KOGA, and until Yoshimitsu ASHIKAGA became a daijo daijin, the position of head of the Minamoto clan was rotated among the four Seiga families (court noble families whose members were eligible for the position of daijin, or minister) of Koga, Horikawa, Tsuchimikado and Nakanoin; however, the Horikawa and Tsuchimikado families both came to an end during the Muromachi period (the Horikawa and the Tsuchimikado families that have emerged since Japan's Sengoku period are descendants of the Fujiwara and Abe clans, respectively), and the hereditary succession was shared between the Koga and Nakanoin families.
源通親の子供久我通光以降久我家を家名とし、足利義満が太政大臣となるまでは清華家である久我家・堀川家・土御門家・中院家の4家が交互に源氏長者を世襲したが、室町時代に堀河・土御門両家が断絶（戦国時代_(日本)以後の堀川・土御門家はそれぞれ藤原氏・阿倍氏の子孫）し、久我家・中院家両家の世襲となる。