The present invention discloses a method for partially hydrogenating polymer. The method comprises providing a polymer having at least one vinyl aromatic block; and hydrogenating the polymer in presence of a heterogeneous catalyst on a support selected from the group consisting of BaSO4, Al2O3, TiO2, ZrO2, active carbon and any combination thereof to obtain a hydrogenated polymer. The hydrogenated polymer comprises at least one hydrogenated vinyl aromatic block having a carbon ring linking with a backbone of the hydrogenated polymer, wherein the average weight percent of the hydrogenated vinyl aromatic block(s) having only one and two double bonds on the carbon ring is between 1-30 wt % based on the total weight of the hydrogenated polymer.