A method of operating a fuel cell including a fuel electrode, an oxidant electrode, and an electrolyte layer having hydrogen ion conductivity sandwiched between the fuel electrode and the oxidant electrode, so that the fuel cell generates electricity as a result of an electrochemical reaction between a fuel and an oxidant. Each time the fuel cell is started from a non-operating condition, the fuel is supplied to the fuel electrode with the fuel electrode and the oxidant electrode electrically interconnected to produce hydrogen at the oxidant electrode by provoking electrochemical reactions expressed by the chemical equations H.sub.2.fwdarw.2H++2e.sup.- and 2H.sup.++2e.sup.-.fwdarw.H.sub.2 at the fuel electrode and the oxidant electrode, respectively, reducing oxides on the oxidant electrode, using the hydrogen produced at the oxidant electrode. Then, the oxidant is supplied to the oxidant electrode to begin normal continuing operation of the fuel cell.