A process is disclosed for producing a vehicular pneumatic tire, in which, in order to produce and apply a preferably unvulcanized tread strip to a partial tire, which already has a cambered carcass and a ply packet radially outward therefrom, at least two strips of material, each consisting of a mixture of rubber and/or plastic, are applied to the partial tire. At least one strip of material is wound in numerous essentially adjoining windings running in the circumferential direction of the tire. In the case of two strips of material, these consist of different mixtures and, depending upon the desired characteristics of the tire, are arranged simultaneously or sequentially on different areas in the inner or the radially outer zone of the space occupied by the finished tread strip.