The present invention relates to a high-temperature fuel cell system, consisting of a fuel cell stack (1) with a layering of several ceramic fuel cells (2) which in each case are separated from one another by way of interconnect layer (3). The interconnect layers comprise openings for cooling (4) or for the supply (5a) and removal (5b) of media to and from the fuel cells. The fuel cell stack may be set under mechanical compressive stress in the direction (6) of the layering. Elastic bead arrangements (7; 7') for sealing the openings (4, 5a, 5b) or the electrically active region (10) are provided at least in regions.
