A kind of adaptive dual-model control and synchronization algorithm for generalized Hénon chaotic system was proposed. Chaos attractor of generalized Hénon map is much more complicated than that of Hénon chaotic systems. It is more difficult to control and synchronize. The generalized Hénon chaotic systems under consideration makes the communications system more secure. This algorithm adopts adaptive dual-model control, which realizes the tracking control and synchronization of generalized Hénon chaotic systems, and meanwhile advances the ability of restraining the parameter perturbation and stochastic disturbance. The robustness performance of controlled system is improved. Theoretical analysis and simulation results proved the effectiveness of this method.