Abstract: As an angle displacement generation mechanism for example, the process of choosing design variables, noise factors and quality targets was given. A mathematical model of robust design for angle displacement generation based on the tolerance was established. The result of design was given and compared with that of the original projects. It is shown that the robustness of movement precision can be insured and the larger tolerances of each rod of the mechanism can be determined by this method, so the manufacturability can be improved and the cost can be reduced.