The work aims to determine whether the new parallel robot with 2-DOF (degree of freedom) plane can meet the production requirements by applying it to the packaging production line and researching its kinematic performance, with respect to the packaging requirements of current food and drug. By means of analyzing the kinetics of parallel mechanism and establishing the Jacobian matrix of parallel robot, geometric method was used to obtain the positive and inverse solutions. Meanwhile, stability, kinematic resolution and stiffness indicators were introduced to analyze the kinematic performance of the mechanism, draw the performance distribution map of stability and kinematic resolution in the working space, and study the stiffness of the mechanism in the vertical direction. The research showed that the kinematic performance of the parallel mechanism in the actual packaging was quite stable. The parallel mechanism was of high accuracy when grabbing or placing the object and the stiffness in vertical direction was quite high. This new parallel robot with 2-DOF plane can satisfy the packaging requirements of products and it has been widely used in the actual packaging.