A vinyl.cis-polybutadiene rubber is provided containing 1,2-polybutadiene
and a polymer substance of a melting point lower than that of the
1,2-polybutadiene and with at least one unsaturated double bond per
repeating unit, where the 1,2-polybutadiene and the polymer substance are
dispersed at physically and/or chemically adsorbed states in the
cis-polybutadiene rubber as the matrix component of the
vinyl.cis-polybutadiene rubber, and a method for producing the same, to
provide a vulcanized product exerting a small die swell ratio and
excellent extrusion processability and operability, as well as very great
characteristics demanded for the side tread of tire and the like.