By numerical simulation method, we studied the Host-Parasitoid model, which was a nonlinear discrete system to describe the interaction between the population of herbivorous arthropods and their insect parasitoids. Many forms of complex dynamics were observed, including the periodic bubbles, pitchfork bifurcation with period-doubling cascade, Hopf bifurcation and intermittent chaos. The nonlinear characteristic of the system was discussed in detail and illustrated by periodic or chaotic attractors, basins of attractors with fractal boundaries. All the methods confirmed the passing of the system from regularity to chaos. The effect of the parameters change in the system could be found in the bifurcation diagrams and the phase graphics near the Hopf bifurcation point. Finally, the system could be controlled from chaos to different periodic orbits effectively by using the parameters open-plus-close control law.