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The purpose of the present invention is to provide a method for selectively separating a rare metal such as indium and a rare earth, which is a substance that is usually difficult to be separated, at low cost, particularly a method for selectively separating dysprosium ions from an aqueous solution containing neodymium ions and the dysprosium ions at low cost. Rare metal ions can be separated by carrying out the selective coordination polymerization of the rare metal ions in an aqueous solution containing the rare metal ions using a water-soluble phosphoric acid diester, e.g., dibutyl phosphate ester and hydrogen=bis[2-(methacryloyloxy)ethyl] phosphate, as a coordination polymer forming agent to cause the fractional precipitation of the ions.