PURPOSE: To enhance the reliability of electrical connection between cells and to keep a conductive layer from being peeled so as to provide stable power- generating performance over a long period by enhancing the electrical conductivity of the conductive layer itself, and approximating the coefficient of thermal expansion of the conductive layer to that of a solid electrolyte.

CONSTITUTION: A solid electrolyte fuel cell, which comprises e.g. an air electrode layer 2, a solid electrolyte layer 3, and a fuel electrode layer 4, all provided on the surface of a cylindrical support tube 1 with a conductive layer 5 formed in electrical connection with either the air electrode layer 2 or the fuel electrode layer 3 by vapor-phase synthesis method to cover the layers, is manufactured. In that case, the conductive layer is made from perovskite composite oxides composed chiefly of metal elements of La, Cr, Mg and Ca with the Ca substituting for the La by 1-30% and the Mg substituting for the Cr by 1-20%.