To provide a rubber for producing a vulcanized rubber which has improved dynamic vibration resistance, improved mechanical strengths and improved wear behavior.

This rubber comprising a diolefin, characterized by having 1 to 22C non-polar side group saturated linear, branched or cyclic hydrocarbon groups or 6 to 22C non-polar side group aromatic hydrocarbon groups through sulfur atoms in an amount of 0.1 to 40 wt.% based on the total amount of the rubber and being prepared by a solution polymerization method.