The work aims to propose a 2-RPU/UPR parallel mechanism for kinematics analysis to obtain its degree of freedom and working space and consider whether it can replace manual operation, in view of the fact that the express delivery industry needs to sort and pack a large number of items and consume a lot of labor. Firstly, SolidWorks software was used to build the 3D model for the 2-RPU/PUR parallel mechanism, and then the spiral theory was used for the analysis to obtain its degree of freedom. Then, the DH representation of the kinematic chain and the Euler angle were combined to solve the inverse position kinematics. Finally, the Matlab software was used to find the working space, and the radius ratio of the moving and fixed platforms was changed to analyze the change of working space. The 2-RPU/UPR parallel mechanism was characterized by a wide working space, a regular shape and a symmetric distribution. When the radius ratio of the moving and fixed platforms increased, the working space would increase accordingly. The 2-RPU/UPR parallel mechanism has two directions of rotation (x, y) and one movement direction (z). By adding the corresponding control programs, it can replace manual sorting and packaging work.