As one of candidates for the fuel cladding or structure material used in fourth generation fission and fusiondemonstrate reactor, MAX phase has the properties of both ceramic and metal, such as high melting point, hightemperaturestability, good erosion resistance and radiation-damage tolerance[1;2]. Max phase is a series of ceramicsof nanolamellar and hexagonal structure. M represents transition element. A represents the third or fourth maingroup element. X represent N and C. In the design of lead-cooled fast reactor, it is required that the materialshould endure the corrosion of liquid Pb-Bi alloy. Therefore, understanding of the oxide layers and their growthmechanisms in LBE is fundamentally important for the development of candidate materials.