A vehicle wheel has a pneumatic tire mounted thereon. The wheel has a rigid rim having essentially radially inwardly extending rim flanges and, on the radially inner side of the rim ring, the rim has respective mounting spaces, each with a deep mounting bed. The pneumatic tire is provided with tire beads having a cross-sectional form which, on the one hand, permits the tire bead to extend into the mounting space and deep bed during mounting, in which, on the other hand, closes-off the mounting space and deep bed when the tire is in its operational state. In order to disconnect the tire seat from the rim support surfaces, it is proposed that the deep mounting bed extend directly to the rim flange, and that, in the operational state of the tire, on the one hand the tire bead be spaced from that portion of the rim ring that is adjacent to the rim flange, and on the other hand a portion of the tire bead butt axially inwardly against a portion of the rim.