The work aims to propose a 2-RPS/UCR parallel mechanism for the mask boxing process, aiming at the high labor cost in the mask packaging line with simple operation and high repeatability. The model of the 2-RPS/UCR parallel mechanism is established, the degree of freedom of the mechanism is analyzed with the method of screw theory and the modified GK formula, according to the constraint condition of the rod length, the inverse solution of the mechanism position is obtained by the closed-loop vector method, the working space of the organization is obtained by Matlab software. The mechanism can realize 2R1T movements. Its working space has a regular shape and a wide range, so it can be used in the packing of masks. The 2-RPS/UCR parallel mechanism works stably, has good working performance and continuous void-free working space, which can satisfy the requirements of the mask boxing movement and working range in the mask packaging line.