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A solid oxide fuel cell, comprising an anode, a cathode spaced apart from the anode, and a solid electrolyte disposed between the anode and the cathode. The material of the solid electrolyte is a hydrogen-containing transition metal oxide having a structural formula ABOxHy, wherein A is one or more elements in alkaline earth metals and rare earth metals, B is one or more elements in transition metals, x is in the range of 1-3, and y is in the range of 0-2.5. Also provided is a manufacturing method of a solid electrolyte of the solid oxide fuel cell.