The solid oxide fuel cell has a stack structure formed by stacking sheet bodies each of which comprises three layers of the electrolyte layer, a fuel electrode layer, an air electrode layer, and separators in alternating layers. In an air channel defined between the air electrode and the separator facing the air electrode layer, a SUS mesh made of stainless steel for electrically connecting both of them is confined. On the surface of the SUS mesh, previously by itself before the assembly of the stack structure, an Ag-plating treatment is performed and further a vacuum heat-treatment (heat-treatment under a negative pressure) is performed.