The dynamics of a class of impulsive dynamic systems with impulsive state feedback control was studied. A Poincare map was constructed to discuss the bifurcation of periodic solution,and the sufficient conditions for the existence and stability of semitrivial periodic solution and positive period1 solution were obtained. The qualitative analysis and numerical results show that a positive period1 solution bifurcates from the semitrivial periodic solution through a fold bifurcation, a positive period2 solution bifurcates from the positive period1 solution through a flip bifurcation, and the chaotic solution is generated via a cascade of flip bifurcations. The superiority of the state feedback control strategy was also discussed.