Abstract: A curable, partially hydrogenated butadiene polymer having a hydrogenation degree from 0.5 to 55% and having a total amount of butadiene-derived vinyl groups according to the general formula (I) and trans groups of the general formula (II) of from 0% to 9% by weight based on the total weight of the polymer and wherein the partially hydrogenated polybutadiene polymer is a butadiene polymer comprising at least 50% by weight based on the total weight of the polymer which is 100%, of units derived from 1,3-butadiene. Also provided are a process to make the polymer, compositions containing the polymer and articles obtained by using the polymer.