Considering the efficiency of calculation, according to the characteristics of the real discrete particle systems, the cellular automata model is designed and built, and an example in a threedimensional spiral space is given and analyzed. Examples show that the method can be run in threedimensional complex space, and the cellular automata can qualitatively reflect the phenomena of the contact and friction between particles. The method can be used to display the evolution of threedimensional discrete particle system dynamically, and the computational performance of CA is highly over one of the discrete element method.