A method of preparing a polymer having a tapered block copolymer structure. The method comprises polymerizing a first olefin monomer and a different second olefin monomer in the presence of a catalyst supporting living or quasi-living polymerization. In certain embodiments, the catalyst comprises two neutral metal complexes. In preferred embodiments, a tapered block copolymer structure is formed by adding one monomer in a single batch at the start of the polymerization reaction, and adding a second monomer throughout the course of the reaction. The present invention also provides polymers having one or more tapered block copolymer sections, and compositions based on these polymers.