Vestibular orthodontic appliance, comprising a plurality of supports (3) intended to be placed on the vestibular surface of the teeth (2), each one comprising two closed internal passages (5) of round cross section, two round archwires (4), not bent, intended to pass through the two passages (5), allowing a sliding movement between the archwire (4) and the passage (5), and in which the two archwires (4) and the supports (3) are intended to cooperate in order to ensure a correction of the teeth (2) in the three spatial dimensions.