Abstract: Orthodontic brackets are fitted to teeth to be treated by making a first positive jaw model from which the model teeth are replaceably removable. The model teeth are subsequently placed into a second jaw model containing pliable material which enables the teeth to be displaced into a desired predetermined orientation, which is the orientation ultimately desired for the teeth to be treated. With the model teeth in this orientation, brackets are fitted to the model teeth and utilizing procedures which involve making a negative mold of the model teeth with the attached brackets, the brackets are ultimately attached to the teeth to be treated so that an orthodontic alignment wire may be applied to the teeth by engagement with the attached brackets.Apparatus for attaching the brackets to the model teeth includes a support structure for holding a jaw model containing the teeth and a curved alignment table extending at least partially about the jaw holder.