A fuel cell module according to the invention, of concentric type, can consist of parts fabricated independently of each other whilst ensuring efficient electric connection between these parts and the limiting of stresses inside the stack.It chiefly consists of a central stack (20) of several elementary cells of a fuel cell, separated from each other by interconnects (10). These are formed of a central metal partition carrying flexible, notched collars. The assembly is completed by a base (50) and flange (40) ensuring distribution of the combustible gases.Application to fuel cells of SOFC type.