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Instead of eccentric wheel vibrator and plane screen, a new design ideal was presented to take parallel mechanism and non-planar screen as drive source and screen, respectively. With the multi-dimensional spatial movement of parallel mechanism and the multi-dimensional permeability of non-planar screen, it can increase the screening efficiency. A parallel kinematics vibration sieve based on single DOF and two loops spatial mechanism was designed, then the topology structure of its main mechanism and kinematics based on the track of screen was analyzed and its dimensions were optimized. The design of non-planar screen and the principles of its multi-dimensional permeability was illustrated and the experimental effects of parallel kinematics vibration sieve and traditional line vibration sieve with planar screen, wave screen and pit screen were compared respectively, which verify that the screening efficiency of parallel kinematics vibration sieve with non-planar screen is as high as 98%, and the permeability is 7.4%, while the screening efficiency and permeability of line vibration sieve with planar screen is just 84% and 5%, respectively. So the efficient screening mechanism and characteristics of this new parallel kinematics vibration sieve can be revealed.