The redmouth whalefishes are two species of deep-sea whalefishes in the genus Rondeletia, the only genus in the family Rondeletiidae. They are apparently close to the velvet whalefish (Barbourisia rufa), and apparently also to the gibberfishes (Gibberichthyidae). The latter and the Rondeletiidae are the only known living fishes which have the mysterious Tominaga's organ.