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In order to study the law of motion of material particles on the screen, the numerical simulation of oblique impact between single particle and the screening surface was carried on. The results showed that, with the increase of throwing index, the motion of single particle on the screening surface undergoes nonlinear dynamics phenomena, such as period bifurcation, period doubling bifurcation, and chaotic motion and so on. The numerical simulation of the motion about particle group on the screening surface was carried on based on the numerical simulation of single particle. The results indicate that, with the throwing index increases, the transmission capacity of vibrating screen is stronger, cleaning loss is greater, while screen-penetrating probability is first increased and then decreased, in the vicinity of throwing index D = 1.67, comprehensive performance of vibration screening is best.