A pneumatic vehicle tire having a carcass that is looped about two bead cores that comprise load-carrying members such as plastic filaments and/or metal wires, with beads in which the bead cores are disposed being capable of turning from a vulcanizing position into an operating position when the tire is being mounted on a wheel rim. In order to improve the tasks of the beads without adversely affecting their ability to turn, the surfaces of the load-carrying members of the bead cores, during turning of the beads prevent adhesion to vulcanized rubber at least to the extent that the load-carrying members are immersed in rubber in the vulcanizing position, so that each load-carrying member is individually rotatable about its longitudinal axis relative to the surrounding rubber of the pertaining bead.