A method for obtaining a star polymer having a controlled ratio of a weight average molecular weight of the star polymer to a number average molecular weight of the star polymer, containing the steps of anionically polymerizing a (meth)acrylic ester having an alicyclic skeleton and a lactone ring in the presence of an anionic polymerization initiator to synthesize an arm polymer, reacting the arm polymer with a polyfunctional coupling agent, and reacting with an anionic polymerizable monomer.