Disclosed is a method for rapidly separating radioactive copper from nickel that contains radioactive copper and radioactive cobalt, which comprises dissolving nickel that contains radioactive copper and radioactive cobalt in an acid solution and leading it to pass through a chelating-ion exchange resin-filled column to thereby make nickel, radioactive copper and radioactive cobalt held by the chelating-ion exchange resin, and then leading an acid solution to pass through the chelating-ion exchange resin-filled column to elute nickel and radioactive cobalt, and thereafter leading an acid solution having a higher concentration than that of the previous acid solution to pass through the chelating-ion exchange resin-filled column after nickel and radioactive elution therefrom to thereby elute radioactive copper.