A vehicle wheel having a rigid rim on which can be mounted a pneumatic tire. The rim has rim flanges that essentially extend radially inwardly. The wheel also has a drop base that is centrally disposed relative to the rim, and is open radially outwardly. Disposed on the radially inner side of the rim, between the drop base and each rim flange, are respective recessed mounting portions for receiving the beads of a tire. To enlarge the supporting surfaces, an annular support member spans the drop base of the wheel, with the support member being in the form of a cylindrical ring that is exactly cylindrical or is at most slightly curved.