A method of producing a customized orthodontic appliance for treating a patient where the appliance includes at least one orthodontic arch and a plurality of elements each including a bracket provided with at least one slot in which said orthodontic arch can be inserted. Each bracket being configured to be placed on a base intended to be placed on a posterior face of a tooth. The method includes individual numerical design of said bases after forming a model representing the dental arch and the faces of the teeth to which said bases are to be fixed in the corrected position. At least some of said bases are numerically designed and manufactured using rapid prototyping. A mass-produced bracket is fixed to each of said bases. An orthodontic arch is numerically designed and manufactured so that it follows the curvature of the dental arch in the corrected position.