An orthodontic assembly includes a self-ligating attachment having a groove for receiving an orthodontic arch. An elastic clip can be reversibly moved between an open position and a closed position sealing the groove. A base including an external surface and an occlusal surface, said external surface of the base supporting the attachment and said occlusal surface of the base being intended to rest on one of the patients teeth. The aforementioned clip can be moved in an at least partially rotational manner between the open position and the closed position. Moreover, the area of the above-mentioned base that supports the attachment comprises a depression at least partially in the form of a cup and the clip is inserted into the depression when in the closed position.