Abstract: A method and system is disclosed for increasing damping capacity in a pneumatic tire by utilizing an extruded vibration-damping rope comprising a bundle of individual wires encased by a polymerized outer sheath. The rope is embedded into the tire during the molding process. The individual wires allow inter-wire friction to occur during part vibration. The core of the disclosed inventive concept for embedding in the tire comprises a bundle of wires having an outermost layer and a polymerized sheath formed over the bundle of wires. The sheath has an inner layer. At least some of the wires of the outermost layer of wires are embedded in the inner layer, whereby sliding movement of the surfaces of the wires relative to one another dampens resonant tire vibration. The wires are metal and the sheath is composed of a polymerized material that is preferably impermeable to the in-flow of rubber.