Plural columnar recesses are formed in a depressed form, on one end surface of a solid electrolyte disposed on a side facing an anode. Accordingly, the solid electrolyte is formed with a thick-walled portion and thin-walled portions, wherein the thick-walled portion extends from an abutment surface with respect to the anode to an abutment surface with respect to a cathode. The thin-walled portions extend from the abutment surface with respect to the cathode to the columnar recesses, and further have a thickness smaller than that of the thick-walled portion. Therefore, the anode also is formed on bottom and side wall surfaces of the columnar recesses. In the obtained electrolyte electrode assembly, a calculated value of conductance per unit area is set at 2 to 30 S/cm2.