Abstract: A pneumatic tire for a vehicle has a casing that extends over the periphery of the tire, a belt that extends radially on the outside of the casing over the entire periphery of the tire and in an axial direction over at least the width of the pneumatic tire. The belt is made of one or several belt plies with rigid supports which are embodied diagonally in the direction of the periphery of the tire and are embedded in a parallel manner in the rubber or plastic material. A bandage extends radially on the outside of the belt over the periphery of the tire. One or several parallel reinforcement supports are wound about the external belt position which is constructed on the construction body in a helical or spiral-shape in the axial direction of the construction body which is oriented, substantially, in the direction of the periphery which is constructed on a pivotable, rotationally-symmetrical construction body which is radial to the outer belt position of the belt in order to produce the bandage.