Abstract: The invention relates to a method of producing solid oxide fuel cells (SOFC) having a cathode-electrolyte-anode unit supported by a metal substrate. It is the object of the invention in this respect to provide solid oxide fuel cells which achieve an increased strength, improved temperature change resistance, a secure bonding of films forming the cathode-electrolyte-anode unit and can be produced free of distortion and reproducibly. In the method in accordance with the invention, a film forming the anode is first wet chemically applied to a surface of a porous metallic substrate as a carrier of the cathode-electrolyte-anode unit. An element which has already been sintered gas tight in advance and which forms the electrolyte is then placed on or applied a really to this film forming the anode and at a first thermal treatment up to a maximum temperature of 1250° C.