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The dosage of precious metal and the cost can be efficiently reduced by using the composite contacts.Especially the AgMO-copper composite contact is widely used in electrical field because of its excellent electric properties.However, at the heavy load level, the bonding strength of the composite contact will change due to the influence of the uneven temperature and stress distribution, which may even cause the failure in the form of the oxide layer peeling.Regarding the typical AgSnOInO-Cu composite contacts as the research object, a simulation model and numerical calculation method were proposed to calculate the contact temperature and thermal stress after any operation cycle.Based on the method, it is figured out the distribution of the contact temperature and thermal stress changing with the electric life test.It was investigated the influence of the oxide layers thickness on the distribution of the contact temperature and thermal stress.The research in the paper is a good trial to analyze the composite contacts properties by numerical calculation method and it will be good for selection of the composite contact material and optimization design of the electrical apparatus.