The family name originated with Tamesuke REIZEI, the founding member of the REIZEI family, who was close to the Kamakura bakufu and lived a long life at Fujigayatsu in Kamakura.
家名の由来は冷泉家の始祖である冷泉為相が鎌倉幕府と親しく、鎌倉の藤ヶ谷に長らく住したことによる。