In this study,a multi-objective optimization method was proposed to optimize the kinematics performance of double toggle mechanism of die-cutting machine.First,the plane coordinate system of the double toggle bar mechanism was established.The closed vector method was used to establish the kinematics model,and the iterative method was used to solve the motion curve of the Grade Ⅲ bar group.Then,the optimization objectives were to minimize the longitudinal distance between the two ends and the horizontal displacement of the moving platform during the motion of the die-cutting mobile platform.The geometric constraints and actual working conditions between each member were used as constraints.Based on Sobol sensitivity analysis and the fast non dominated sorting genetic algorithm(NSGA-Ⅱ),a multi-objective optimization model was established in combination with engineering practice.Finally,analyze and compare the parameter changes and displacement and acceleration simulation curves of the rod before and after optimization,and select the optimal optimization plan.The result showed that after optimizing the double elbow bar mechanism,the maximum longitudinal distance between the two ends of the moving table is reduced by 1.22%,while the maximum horizontal displacement of the moving table is reduced by 17.65%.This study method can significantly improve the efficiency of die-cutting machine.