The shrine's name of 'Kurumazaki' (lit. carriage splitting) was given after the ox-drawn carriages in which people were riding would suddenly split as they passed the shrine, and when Retired Emperor Gosaga was visiting Oi-gawa River his carriage suddenly stopped, which surprised him and when he enquired with people at the shrine as to the reason why, he was told that it was because the shrine enshrined KIYOHARA no Yorinari - leading the emperor to grant the shrine the name of 'Kurumazaki-Daimyojin Shrine' and the rank of Shoichii (Senior First Rank).
社名の「車折」については、ある人が牛車に乗ったまま社前を通った所、突然車が裂けてしまったためとも、後嵯峨天皇の大堰川遊幸の際、社前で突然車が前に進まなくなったので、不思議に思って社の者に問うた所、頼業公を祀ると答えがあったので、還御の後に「車折大明神」の神号と正一位の神階を贈ったためともいう。