Assembly formed by: - a self-ligating fastener (1) intended to be part of an orthodontic appliance, said fastener (1) having in its longitudinal direction an outer face and an occlusal surface and being provided on its outer face with a throat (2) for receiving an orthodontic arch； - an elastic clip (6) reversibly movable between an open position leaving a free passage for the insertion of the arc into the groove (2) or the extraction of the arc out of the groove (2) and a closed position closing the groove (2)； - and a base (3) having an outer face (5) and an occlusal face (4), said outer face (5) of the base (3) supporting said fastener (1) and said occlusal face (4) of the base (3) being intended to rest on a tooth of the patient by marrying the surface of said tooth； characterized in that said clip (6) is movable in at least partially rotational movement between its open position and its closed position, and in that said base (3) has in the area where it supports the clip (1) a depression (9) at least partially in the form of a bowl, the clip (6) being inserted into said depression (9) when in the closed position. Orthodontic appliance comprising this setEnsemble formé par : - une attache auto-ligaturante (1) destinée à faire partie d'un appareil orthodontique, ladite attache (1) présentant selon sa direction longitudinale une face externe et une face occlusale et étant pourvue sur sa face externe d'une gorge (2) pour la réception d'un arc orthodontique ； - un clip élastique (6) déplaçable de manière réversible entre une position ouverte laissant un passage libre pour l'insertion de l'arc dans la gorge (2) ou l'extraction de l'arc hors de la gorge (2) et une position fermée obturant la gorge (2) ； - et une base (3) présentant une face externe (5) et une face occlusale (4), ladite face externe (5) de la base (3) supportant ladite attache (1) et ladite face occlusale (4) de la base (3) étant destinée à reposer sur une dent du patient en épousant la surface de ladi
