Sarcoprion is an extinct genus of eugeneodont holocephalan from the Permian of Greenland. It possessed arching rows of connected teeth, termed tooth whorls, along the midline of its upper and lower jaws, as well as flattened, pavement-like teeth elsewhere in the mouth. It is distinguished from other members of its family by the presence of sharp, symphyseal teeth on both the upper and lower jaws. The tooth whorl on the lower jaw bore sharp, compact tooth crowns, while a row of backward facing, triangular teeth was present on the roof of the mouth. The preserved material does not show evidence of a distinct upper jaw, implying it may have been fused to the cranium, reduced, or lost entirely. The type and only species in the genus is S. edax.