As indicated by their names, both have the bodies of men, but Ox-Head has the head of an ox while Horse-Face has the face of a horse.
[1] In their duties as guardians of Diyu, the realm of the dead, their role is to capture human souls who have reached the end of their earthly existence and bring them before the courts of Hell.
Souls are then rewarded or punished based on the actions performed in their lifetime.
Ox-Head and Horse-Face also play the role of messengers of the king of hell, Yanluo Wang (閻羅王).
[2] In the Chinese classical novel Journey to the West, Ox-Head and Horse-Face are among the underworld denizens overpowered by Sun Wukong after his soul is dragged to hell in his sleep.