A control apparatus for a fuel cell, including oxidizing gas supplying means for supplying oxidizing gas to a cathode via an oxidizing gas supply line; cathode-side gas pressure detecting means for detecting a gas pressure within the oxidizing gas supply line or the cathode; hydrogen supplying means for supplying hydrogen to an anode via a hydrogen supply line; target hydrogen partial pressure determining means for determining a hydrogen pressure among a gas pressure within the hydrogen supply line or the anode; hydrogen supply pressure calculating means for calculating a hydrogen supply pressure of hydrogen to be supplied to the fuel cell, based upon the target hydrogen partial pressure and the gas pressure detected by the cathode-side gas pressure detecting means; and hydrogen supply control means for supplying hydrogen from the hydrogen supplying means to the fuel cell at the hydrogen supply pressure, and the method thereof.