The durability of a solid polymer electrolyte fuel cell can be enhanced by inhibiting deterioration of a polymer electrolyte membrane of a solid polymer electrolyte fuel cell without impairing power generation performance. The production process of a polymer electrolyte membrane for a solid polymer electrolyte fuel cell of the present invention is characterized by preparing a solution or dispersion of an alkoxide of a transition element or a rare earth element having a catalytic ability that decomposes peroxides, and (1) preparing a solution of a polymer electrolyte, uniformly mixing the solution or dispersion of the alkoxide with the solution of the polymer electrolyte, and forming a polymer electrolyte membrane, in which the transition metal or the rare earth metal is uniformly dispersed, from the mixed solution, or (2) preparing a polymer electrolyte membrane for a solid polymer electrolyte fuel cell, uniformly permeating the solution or dispersion of the alkoxide into the polymer electrolyte membrane, and forming a polymer electrolyte membrane in which the transition element or rare earth element is uniformly dispersed by hydrolyzing and condensing the alkoxide.
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