Firstly, a 3-DoF hybrid vibration screening mechanism is designed, and the degree of freedom of the mechanism and the motion characteristics of the screening surface are analyzed. Through the analysis, the motion of the screening surface can be obtained. Secondly, the vector closed form method is used to analyze the positive and negative solutions of the mechanism, and the corresponding position equations are obtained, and the mathematical expressions of the positive and negative solutions of the velocity and acceleration of the mechanism are obtained by derivation. Finally, ADAMS is used to simulate and prove that the 3-DoF hybrid vibration screening mechanism can realize two translations and one rotation, which provides a theoretical basis for the dynamic modeling and practical application of the 3-DoF hybrid vibration screening mechanism.