The adaptive topology optimization based on compromise programming method was used to solve the problem of multiple working conditions of automobile gearbox housing.The front transverse transmission was taken as a research object,while the maximum stiffness or the minimum compliance was regarded as the optimization objective.The transmission housing adaptive topology optimization based on compromise programming method was implemented by using the Hyperworks analysis software.In the method,the objective function will gradually converge to the minimum compliance,which was verified by the finite element analysis under the two typical working conditions of first stage gear and reverse gear.The optimization results can meet the strength reliability requirement under all the automotive transmission working conditions.The practical applications show that the compromise programming method for topology optimization is an effective way to solve the problem of complex structure multi-objective optimization.