To stabilize the unstable periodic orbits of a class of discrete chaotic system, an impulsive delayed feedback control method is proposed. Then the application of the control method in a class of discrete small-world network model is studied systematically. Numerical simulations show that the period-doubling bifurcations and the resulting chaos can be delayed, and the periodic orbits embedded in the chaotic attractor can be stabilized. Compared with the existed related methods, the proposed control method has wider applications, and the implementation of the proposed control method is easy, convenient and flexible.