Process for producing a pneumatic tire that includes an inner liner of a layer that is as air-impermeable as possible, at least one carcass ply provided with strength supports, horn profiles, bead cores, sidewalls, a belt assembly, and a tread. The process includes building-up a partial tire in a production part A, where the partial tire includes at least a carcass body that includes the at least one carcass ply provided with the strength supports, bead reinforcements and cores, core fillers and horn profiles, and an undertread, and shaping and at least partially vulcanizing the partial tire under an internal pressure in a vulcanization mold in a first vulcanization procedure. The process also includes determining a cross-sectional contour for a completed tire and an amount of surface and strength supports to be added to the partial tire prior to a production part B, and building-up the partial tire in the production part B by adding remaining tire components to produce a complete tire. Further, the process includes vulcanizing the complete tire in the vulcanization mold, thereby bonding the partial tire to the remaining tire components. While vulcanizing the complete tire, a residual elevation produced by internal pressure is applied, whereby the complete tire is molded to its final contour. The residual elevation in shoulder areas of the completed tire is greater than or equal to the residual elevation in a zenith area.