A filler ring, made of rubber or synthetic material, for a vehicle wheel and pneumatic tire assembly where the beads of the tire are mounted on the radially inner periphery of a wheel rim next to essentially radially inwardly extending rim flanges. The filler ring covers a space located axially inwardly of a rim flange. The filler ring includes at least two planes of circumferential hollow chambers, with the planes of hollow chambers being superimposed on one another in a radial direction, and with at least two hollow chambers, which are successively arranged in an axial direction, being provided in each of the planes of such hollow chambers.