Abstract: The compliance matrix describing the rotation capacity of flexure hinges was analyzed. A multi-objective optimization model was established to enhance the rotation capacity of flexure hinges with the important factors influencing the rotation capacity of flexure hinges as design variables. The optimal design model by using Powell inner point penalty function method was presented, and the design example of a circular flexure hinge was optimized based on the model. The optimal result indicates that the method is valid and practicable. The comparison of rotation capacity between before and after optimization shows that the performance of the flexure hinge after optimization is better.