Damocles is a genus of cartilaginous fish from the Mississippian age Bear Gulch Limestone of Montana, United States and from the Mountain Limestone of Armagh, Northern Ireland. Two species, D. serratus and D. attenuatus, have been assigned, with D. attenuatus originally being classified as a species of the form-genus Physonemus. Members of the genus were predatory, and males possessed a distinctive serrated, sword-like spine which was positioned over their head.