A method of producing a pneumatic vehicle tire, the beads of which can be mounted on the radially inner periphery of a rim, and are pivotably relative to the bead cores. A carcass along with the adjacent rubber layers, and the tire beads, with their pull and compression resistant cores, are combined on a drum to form an essentially cylindrical blank. What will later be the insides of the tire initially face radially outwardly, and the interfaces of the initially radially outwardly extending beads form an essentially right angle with the cylindrical surface of the blank. At least the bead regions of the tire blank are preliminarily vulcanized, whereupon the blank is turned in and has imparted thereto a toroidal shape. The blank is then provided with a tread strip, and is final-vulcanized.