Abstract: A single cell and stack structure for SOFC stacks is disclosed. The single cell consists of a fuel electrode, an electrolyte and an air electrode, with opposite two or four sides of said single cell is shaped while being bent downwardly, thus forming an electrode support type structure or a self-support (electrolyte support) type structure each having a reversed U-shaped cross-section. In the SOFC stack structure, electrode support type or self-support type single cells are gastightly stacked on a separating plate while being held on a plurality of sealing grooves sealed with sealant.