Redondagnathus hunti was named by Spielmann and Lucas (2012). Its type specimen is YPM 4227, a tooth (Slightly worn postcanine tooth), and it is a 3D body fossil. Its type locality is Apache Canyon, NMMNH L-485, which is in a Norian crevasse splay conglomerate in the Redonda Formation of New Mexico. It is the type species of Redondagnathus.