Solid oxide fuel cell having a porous support comprising forsterite and method for producing the same

An object of the present invention is to provide a fuel cell preventing formation of a diffusion layer containing Ca and other elements, and having an excellent power generation performance at low temperature by preventing breakdown of a crystal structure of an electrolyte by firing. Disclosed is a solid oxide fuel cell which includes a fuel electrode, a solid electrolyte, and an air electrode, each being sequentially laminated on the surface of a porous support. The porous support contains forsterite, and further has a calcium element (Ca) content of more than 0.2 mass % but not more than 2 mass % in terms of CaO.