1. A solid electrolyte switching device, comprising: a substrate in which a surface is coated with an insulation layer; a first interconnection layer set on said substrate; an ion supplying layer set on said first interconnection layer; a solid electrolyte layer set on said ion supplying layer; an interlevel insulating layer having a via hole set to cover said first interconnection layer, said ion supplying layer, and said solid electrolyte layer; a counter electrode layer set to contact said solid electrolyte layer through said via hole of said interlevel insulating layer; and a second interconnection layer set to cover said counter electrode layer, wherein said first interconnection layer is formed with the same material as that of said ion supplying layer, said via hole is confined in area so that said interlevel insulating layer contacts an outer periphery of a top surface of said solid electrolyte layer and said counter electrode layer contacts an area inside of the outer periphery of the top surface of said solid electrolyte layer, and said solid electrolyte layer is any one of chromium sulfide, titanium sulfide, tungsten sulfide, nickel sulfide, tantalum sulfide, molybdenum sulfide, germanium-antimony-tellurium compound, and arsenic-tellurium-germanium-silicon compound.