The invention relates to a pneumatic vehicle tire of radial design with a tread (1) having a profiled two-layered tread cap (3) with a radially outer cap layer (3a) and a radially inner cap layer (3b). The radially inner cap layer (3b) has a higher dynamic storage modulus at 55°C, measured based on DIN 53512, than the radially outer cap layer (3a), the two cap layers (3a, 3b) having identical tensile strength values, measured at 300% elongation according to DIN 53504.