METHOD FOR PRODUCING POLYMER

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Provided is a method for producing a polymer, which is capable of producing a polymer with high yield, while suppressing the production of a by-product, said polymer being obtained by adding a hydroxyl group to an end of a homopolymer of a non-conjugated olefin, a homopolymer of a conjugated diene compound or a conjugated diene compound-non-conjugated olefin copolymer. A method for producing a polymer of the present invention is a method for producing a polymer that is obtained by adding a hydroxyl group to an end of a homopolymer of a non-conjugated olefin, a homopolymer of a conjugated diene compound or a conjugated diene compound-non-conjugated olefin copolymer. This method for producing a polymer comprises : a first reaction step wherein an organic aluminum compound and a hydrocarbon that contains the non-conjugated olefin and/or the conjugated diene compound are reacted with each other using a catalyst that contains a rare earth element compound; a second reaction step wherein a first reactant obtained in the first reaction step and oxygen are reacted with each other; and a third reaction step wherein a second reactant obtained in the second reaction step and water and/or an alcohol are reacted with each other.