Disclosed herein are a method of manufacturing a fuel cell, and a fuel cell manufactured according to the method. The method includes bonding a sub-gasket, provided with an air inlet and a hydrogen inlet, to a side surface of a three-layer membrane-electrode assembly (MEA) including an electrolyte membrane, a cathode located on one surface of the electrolyte membrane, and an anode located on the other surface of the electrolyte membrane; stacking a gas diffusion layer, which comprises an antioxidant precursor, on at least one of the cathode and the anode and preparing a five-layer MEA; and applying a current to the five-layer MEA and moving an antioxidant, which is derived from the antioxidant precursor, to the electrolyte membrane.