A 2-SPR/UPU parallel mechanism robot is proposed for the product sorting process in the assembly line, which requires safety and quality. It is used for the sorting and packing of products, so as to reduce manpower and improve efficiency. Firstly, the degree of freedom of parallel mechanism is analyzed by using spiral theory and modified G-K formula. Secondly, the closed vector method is used to solve the inverse solution of position of the mechanism. Finally, the Solidworks software is used to solve the workspace of the mechanism, and the spatial diagram of the mechanism is drawn by programming in Matlab. The parallel mechanism has 3 degrees of freedom (two rotations and one movement), and the spatial motion ranges in X, Y, and Z directions are −35°~35°, −35°~35°, and 290~380 mm respectively. The workspace of the mechanism is spider-net with no continuous void inside, indicating that there is no singularity in the workspace and the motion performance is good. 2-SPR/UPU parallel mechanism has simple structure, good stability and large workspace, whose characteristic of two-turn and one-shift can improve the efficiency of product detection, sorting and packing.