An assembly formed by: a self-ligating bracket intended to be part of an orthodontic apparatus, said bracket having in its longitudinal direction an outer face and an occlusal face and being provided on its outer face with a groove for holding an orthodontic arch wire, an elastic clip that can be moved relative to the bracket reversibly between an open position, leaving a free passage for the insertion of the arch wire into the groove or the extraction of the arch wire from the groove, and a closed position closing off the groove, and a base having an outer face and an occlusal face, said outer face of the base supporting said bracket and said occlusal face being intended to rest on a patient's tooth by conforming to the surface of said tooth, said base having on its outer face a support for the bracket, characterized in that said bracket comprises a housing formed on the occlusal face of the bracket, said support comprises an abutment and a housing defined in the abutment, the elastic clip comprises a first branch for closing off the groove when the elastic clip is in place and a second branch that comprises a tab at one end, the tab of the elastic clip is movably retained within a housing formed by the combination of the housing formed on the occlusal face of the bracket and the housing defined in the abutment, wherein this combination provides guiding means for guiding the elastic clip when moving said elastic clip between its open position and its closed position, such that the tab is contained in the housing formed by the combination of the housing formed on the occlusal face of the bracket and the housing defined in the abutment. a self-ligating bracket intended to be part of an orthodontic apparatus, said bracket having in its longitudinal direction an outer face and an occlusal face and being provided on its outer face with a groove for holding an orthodontic arch wire, an elastic clip that can be moved relative to the bracket reversibly between an open position, leaving a free passage for the insertion of the arch wire into the groove or the extraction of the arch wire from the groove, and a closed position closing off the groove, and a base having an outer face and an occlusal face, said outer face of the base supporting said bracket and said occlusal face being intended to rest on a patient's tooth by conforming to the surface of said tooth, said base having on its outer face a support for the bracket, characterized in that said bracket comprises a housing formed on the occlusal face of the bracket, said support comprises an abutment and a housing defined in the abutment, the elastic clip comprises a first branch for closing off the groove when the elastic clip is in place and a second branch that comprises a tab at one end, the tab of the elastic clip is movably retained within a housing formed by the combination of the housing formed on the occlusal face of the bracket and the housing defined in the abutment, wherein this combination provides guiding means for guiding the elastic clip when moving said elastic clip between its open position and its closed position, such that the tab is contained in the housing formed by the combination of the housing formed on the occlusal face of the bracket and the housing defined in the abutment.