The work aims to present a new 3-UPRP parallel mechanism that can be applied to the flexible packaging. Firstly, the degree of freedom of the mechanism was calculated with screw theory and G-K formula. Then, based on the position inverse solution and the constraint condition of the mechanism, Matlab programming was used to solve the work space of the mechanism; finally, SolidWorks was applied to analyze the displacement, velocity and acceleration of the mechanism. With 3 degrees of freedom of 2R1T, the mechanism had symmetrical work space. Featured by a good work space and smooth running without excessively large velocity jump, the mechanism can be widely applied in the flexible packaging and other processes of industrial automation.