A puncture-proof vehicle tire mounted on a multi-part felly, wherein the tire foot and the tread are connected by cushioning axial and radial reinforcing parts, formed by axial cut-outs which are staggered in relation to one another and are optionally subdivided by crosspieces. The cut-outs are preferably arranged in such a way that the tire consists of opposed segments, wherein the tire foot and the tread are connected by an optionally asymmetrical cushioning section, which is oriented alternately in the consecutive segments towards one felly edge or the other.