A new type of viscoelastic vibration damping rubber matrix, styrene-butadiene block copolymer with designed molecular weight, unit sequence, mass ratio of styrene/butadiene and content of bound styrene synthesized through anionic solution polymerization method with more excellent damping properties than the current commercialized SBR is exhibited. In addition, the glass transition temperature (Tg) of the new type of SBR can be tunable to the suitable temperature region according to the application requirements. In this paper, we put the emphasis on the synthesis and properties characterization of this new type material, and try to provide a new method to fabricate a viscoelastic damping material (VDM) with tunable Tg and excellent dynamic mechanical properties usable for applications in the field of vibration reduction industry.