The method is used for producing a gas-tight mechanical connection between at least one prefabricated fuel cell having a fixed electrolyte disk with opposed main surfaces and anode and cathode electrodes applied to the opposed main surfaces, and a ceramic fuel cell support on which the at least one fuel cell is disposed. A nickel layer is applied to the fuel cell support by screen printing, for mechanically connecting the fuel cell to the support, for tapping current from the cathode electrode and as a current connection for an electrical connection to further fuel cells. The fuel cell is laid on the freshly printed nickel layer on the fuel cell support to form a fuel cell system. The fuel cell system is sintered with the imposition of a slight mechanical pressure upon the fuel cell, by initially performing the sintering for approximately one hour in air at a temperature of approximately 400.degree. C. and subsequently in a nitrogen atmosphere at a temperature of approximately 1150.degree. C.