Abstract: From carboxyl terminated vinyltetrahydrofuran-propylene oxide liquid copolymer (TVC), which has been successfully synthesized ealier (Ⅰ), we have synthesized an epoxy terminated triblock copolymer (TVCE) by reacting the terminal carboxyl of TVC with bifunctional epoxy resin. The three-component four-arm star telechelic copolymer was then prepared through the copolymerization of TVCE with vinyl monomers, e, g.St, MMA, and BA plus MMA. The effect of some factors on the dampling properties of star copolymers has been investigated.