NOVELTY - A carbon catalyst contains transition metal or compound of transition metal such as cobalt, iron, manganese, nickel, copper, titanium, chromium, zinc, zirconium and/or tantalum. The nitrogen is introduced into the carbon catalyst. The carbon catalyst has energy peak area ratio of nitrogen atom (a) having bond energy of electron of 1-s orbit of 398.5 plus minus 1 eV and nitrogen atom (b) having bond energy of electron of 1-s orbit of 401 plus minus 1 eV of 1.2 or less.    USE - Carbon catalyst is used as chemical-reaction catalyst and oxygen-reduction catalyst in electrical storage apparatus such as fuel cell (all claimed). Can also be used in electrical double layer capacitor.    ADVANTAGE - The carbon catalyst having excellent catalytic activity is manufactured economically, without using noble metal. The electrical storage apparatus formed using carbon catalyst has excellent workability.    DETAILED DESCRIPTION - INDEPENDENT CLAIMS are included for the following:    (1) manufacture of carbon catalyst, which involves adjusting carbon-precursor polymer using a polyacrylonitrile polymethacrylic-acid copolymer, mixing transition metal or compound of transition metal such as cobalt, iron, manganese, nickel, copper, titanium, chromium, zinc, zirconium and/or tantalum and carbon-precursor compound containing nitrogen atom to carbon-precursor polymer and carbonizing mixture of compound of transition metal, carbon-precursor compound and carbon-precursor polymer;    (2) fuel cell, which has a solid electrolyte and an electrode (21,22) provided opposingly on both sides of the solid electrolyte, at least one of the electrode comprises carbon catalyst;    (3) electrical storage apparatus, which has an electrode material which is equipped with carbon catalyst and an electrolyte; and    (4) usage method of carbon catalyst.    DESCRIPTION OF DRAWING(S) - The drawing shows the schematic view of the electrical double layer capacitor.    Electrodes (21,22)    Separator (23)    Exterior lid (24a)    Exterior case (24b)    Gasket (26)