An anion-exchange membrane having quaternary ammonium groups or quaternary phosphonium groups wherein halogen ions serve as the counter ions is obtained. Rather than being subjected to ion exchange with an OH-type membrane using a toxic substance such as sodium hydroxide, the halogen-type anion exchange membrane is brought into contact with a carbonate solution and/or bicarbonate solution to directly obtain an anion exchange membrane where at least some of the counterions of the quaternary ammonium groups or quaternary phosphonium groups are CO32− and/or HCO3−.