The present invention relates to methods to improve the dampening characteristics of compositions and the improved compositions. The compositions made by the method comprises a polymer system selected from the group consisting of immiscible polymer blends, miscible polymer blends, copolymers, thermoplastic polymers and thermosetting polymers, and a block copolymer comprising: at least one block derived from aromatic vinyl units and at least one block derived from at least isoprene and a vinyl aromatic monomer and optionally butadiene, and having a glass transition temperature of at least 10.degree. C.