Abstract: A pneumatic vehicle tire of rubber or rubber-like synthetic material. The tire has a carcass that is anchored in bead regions by being looped around inextensible bead cores. A reinforcing belt is disposed between the carcass and a tread strip. Respective bead rubber members extend around the bead regions. Respective sidewall rubber portions are disposed on laterally outer sides of the carcass and essentially extend from the bead rubber members to shoulder regions of the tire. Each of the sidewall rubber portions comprises two distinct rubber layers of different mixture compositions, namely an outer sidewall rubber layer that is resistant to the effects of ozone, is wear-resistant, and is readily moldable, and an inner sidewall rubber layer that is designed to achieve an increased transfer of forces.