A method of electrolytically producing acid water using an electrolytic cell partitioned by a cation-exchange membrane into an anode chamber and a cathode chamber. Chloride ion which generates hypochlorous acid by anodic oxidation is supplied to the cathode chamber without directly supplying chloride ion to the anode chamber. Part of the chloride ion permeates from the cathode chamber into the anode chamber through the cation-exchange membrane. The chloride ion which permeates through the cation-exchange membrane is present at the surface of an anode closely adhering to the cation-exchange membrane in the anode chamber or only in the vicinity of the anode, and is efficiently anodically oxidized to form hypochlorite ion. Also disclosed is an electrolytic cell for carrying out the method of electrolytically producing acid water.