An electrolytic cell for producing a brine containing hydrogen peroxide is disclosed. Units for hydrogen peroxide production 3 and units for water electrolysis 2 are alternately arranged in the same electrolytic cell 1. Electrolysis is conducted while supplying hydrogen gas and oxygen gas generating in the respective water electrolysis units to a gas diffusion anode 11 and a gas diffusion cathode 13 of each unit for hydrogen peroxide production, to thereby obtain a brine containing hydrogen peroxide in a high concentration. Furthermore, because the anode of the hydrogen peroxide production units is a hydrogen gas diffusion anode having a reduced oxidizing ability, halogen ions contained in the seawater do not yield harmful halogenated organic substances.