Abstract: A solid rubber tire comprised of rubber or plastic having elastomeric properties has a bottom layer and a tread portion connected to the bottom layer. A reinforcement structure for the bottom layer is provided in the form of a textile reinforcement element or a metal reinforcement element. The reinforcement structure is a wound overlay having at least one reinforcement layer which is produced by winding the reinforcement element in a plurality of windings so as to extend over at least 20% of the axial width of the bottom layer. The reinforcement element can be a cord, wire or cable. The reinforcement element may also be a cord material strip having individual reinforcement members arranged in parallel. The reinforcement members can be textile or metal reinforcement members in the form of cord, wire or cable. A method for producing the solid rubber tires is disclosed.