A general method for robust design was presented based on sensitivity, and two models were established for robust optimization design of mechanical parts based on adjunctive function of sensibility of the high dimension multi-objective or the high dimension multi-objective. Constraint functions of the design parameters and the solutions were founded with absolute degree of grey incidence. Then the robust optimization design was realized with the software of optimization toolbox and symbolic toolbox of Matlab7.4. The design example showed that the model is practical and effective.