NOVELTY - A metal ceramic membrane is coated by performing electrolysis processing which makes surface of metal substrate produce a glow discharge and/or an arc discharge and which makes metal substrate into a working electrode in an electrolyte solution, and by forming a ceramic membrane in the surface of metal substrate. The coating method is done at pH of greater than or equal to 7. The electrolyte solution contains zirconium-oxide particle with an average particle diameter of less than or equal to 1 mm.    USE - Metal ceramic membrane coating for use in gas turbine, heat sink, aluminum printed circuit board, metal die, insulation coil, fuel cell, oxygen sensor and catalyst for exhaust gas purification.    ADVANTAGE - The membrane is excellent in abrasion resistance and corrosion resistance and has low opposite material aggression.    DETAILED DESCRIPTION - A metal ceramic membrane is coated by performing electrolysis processing which makes surface of metal substrate produce a glow discharge and/or an arc discharge and which makes metal substrate into a working electrode in an electrolyte solution and forming a ceramic membrane in the surface of metal substrate. The coating method is done at pH of greater than or equal to 7. The electrolyte solution contains zirconium-oxide particle with an average particle diameter of less than or equal to 1 mm. Content of solution satisfies formulae X=0.05-500 g/L, Y'=0-500 g/L and Y'/X=0-10 where X is zirconium oxide particle and Y' is magnesium, aluminum, silicon, calcium, scandium, titanium, vanadium, chromium, manganese, iron, cobalt, nickel, copper, zinc, gallium, germanium, strontium, yttrium, zirconium, niobium, molybdenum, technetium, ruthenium, rhodium, palladium, silver, indium, tin, barium, lanthanum, hafnium, tantalum, tungsten, rhenium, osmium, iridium, platinum, gold, bismuth, cerium, neodymium, gadolinium and/or actinium. INDEPENDENT CLAIMS are included for:    (1) a metal electrolyte solution;    (2) ceramic membrane; and    (3) a metal material.