The invention relates to a method of producing a dental prosthesis from a one-piece or multi-piece prosthesis blank which is constructed from a gum-colored material and a tooth-colored material (32), in particular in each case on a plastic base. It is characterized by being connected to each other at connecting surfaces, having an interface between the gum-colored and tooth-colored materials. This interface, when viewed along the connecting surfaces has an undulating shape and viewed in the vestibular direction has a radial shape. In order to finish the dental prosthesis, a CAD/CAM device determines the exact course of a gingival line, based on patient-specific data, and produces the prosthesis.