A water electrolyte cell can be used with a high energy efficiency over a long period of time. The water electrolyte cell has a pair of catalytic layers and an electrolyte membrane sandwiched between the catalytic layers. The catalytic layers includes an anode catalytic layer which contains a catalyst comprising an alloy of ruthenium, iridium, and at least one metal selected from the group consisting of iron, nickel, and cobalt, or an oxide of the alloy, or a mixture of the alloy and an oxide thereof. The at least one metal has a molar ratio with respect to ruthenium and iridium in the range from 0.05 to 0.13 mol with respect to 0.8 to 2.2 mols, preferably 1.8 to 2.2 mols, of ruthenium and 0.8 to 1.2 mols of iridium. The electrolyte membrane comprises a solid polymer electrolyte membrane.