An associated palate and dentaries from the early Paleocene (Puercan), San Juan Basin, New Mexico, are the type of a new species, Conacodon kohlbergeri. This species is cladistically most closely related to C. entoconus. Both species lack the paraconid on P3-4 and have a more complete precingulum on the upper molars. Both Conacodon and Oxyacodon have a lingually expanded hypocone and lack the protocone on P3. These two genera are included in a new subfamily, Conacodontinae. A trichotomy between this subfamily, the Anisonchinae, and Periptychinae cannot be resolved at present.