To improve accuracy and efficiency of current touch screen mechanical alignment platform, the kinematic analysis for the linear motor UVW coplanar mechanical alignment platform was carried out. The geometric method was used to solve the inverse kinematics of the mechanism, which provided a theoretical basis for the platform positioning. Through MATLAB software, the positive position of the mechanism was solve. On this basis, the workspace size of the platform was simulated, and the shortest path and minimum time trajectory planning algorithms were studied. The results show that the limit trajectory and workspace of the platform are consistent with the simulation results. The speed and time of different trajectory planning methods were tested and verified by visual inspection platform. It is proved that the trajectory planning is reasonable and feasible to improve the bonding performance of touch screen mechanical contraposition platform.