A vehicle wheel and pneumatic tire assembly, including a tire which essentially comprises rubber or rubber-like synthetic material, and a rigid rim which on the radially inner periphery of the rim ring has seating surfaces for the tire, from where the tire walls initially extend essentially horizontally toward the outside. On the radially inner periphery, the rim ring is provided with support surfaces for supporting the tire during an emergency operation. In order to be able to transmit increased forces during an emergency operation, the inner wall of the tire, in the region of the tread, and the radially outer portions of the rim, are provided with raised portions and recessed portions which predominantly extend in the transverse direction, and which are adapted to engage in one another during an emergency operation of the tire.