A solid oxide fuel cell has a stack structure in which sheet bodies and support members are stacked in alternating layers. A space through which a fuel gas or air flows is formed between the adjacent sheet body and support member. Partitions are provided on the support member in such a manner as to stand in the space, thereby forming a “first flow F1” of gas according to the flow control effected by the partitions. Gaps are formed at the projecting ends of the partitions, thereby forming a “second flow F2” of gas which flows over the partitions and through the gaps. The ratio “gap/space height” is set to 2% to 50% inclusive.