Objective: Aiming at a three degree of freedom HUU type parallel mechanism which can be used in food packaging，the static and dynamic characteristics are studied. Methods: The geometric model of the parallel mechanism was firstly established, and the static and dynamic stiffness of the mechanism were analyzed and calculated; then the dynamic equation of the mechanism was established based on Lagrange method. The dynamic analysis of the connecting rod was carried out as a pure rigid body, and then the rigid flexible coupling dynamic analysis was carried out by making the branch chain connecting rod flexible. Results: The static stiffness of parallel packaging mechanism along the vertical direction of space is the largest, and the weak link is located in the connection of connecting rod, sliding saddle and moving platform. The rigid flexible coupling effect of the branch chain connecting rod makes the acceleration of the saddle change suddenly when it turns. The analysis results of other motion evaluation indexes of the rigid model and the coupling model are basically consistent. Conclusion: Optimizing the parallel packaging mechanism can improve its kinematic performance.