The work aims to propose a 2-UPR/RSPR parallel mechanism with large workspace, which can be applied to packaging and palletizing in the medicine packaging production line for saving the number of workers and reducing labor intensity. A screw matrix of 2-UPR/RSPR parallel mechanism was established. The degrees of freedom of the mechanism were analyzed with the modified G-K formula. The inverse kinematics of the mechanism was solved jointly with closed-loop vector method and D-H method. The reachable workspace of the mechanism was obtained by dynamic simulation of three-dimensional model. The workspace of the mechanism was verified jointly with SolidWorks and Matlab software. The application example of this mechanism in medicine packaging production line was given. The results showed that 2-UPR/RSPR parallel mechanism had four degrees of freedom, the workspace of the mechanism was double umbrella, and the maximum execution angle of the moving platform could reach 90 degrees, which could meet the needs of drug packaging. 2-UPR/RSPR parallel mechanism applied to the back end of medicine packaging production line can not only improve packaging efficiency, but also improve the intelligent degree of medicine packaging.