The present invention relates to a method of treating an outer eye disorder selected from a cataract, neovascularization, keratitis, epithelium deficiency, or chronic opacity, by administering to the eye a composition comprising acidic electrolytic water. The present invention also relates to a stable acidic electrolyzed oxidizing water characterized by low conductivity, the presence of dissolved chlorine gas (Cl2), hypochlorous acid (HOCl) and chloride ions (Cl−), and by the presence of negligible quantities of hypochlorite ion (OCl−).