Abstract: The anti-synchronization problem between two different hyper-chaotic systems is studied. Two different control methods are used to design proper controllers for the response system to realize the anti-synchronization. A special antisymmetric structure is proposed, and based on it, the direct design method is given to design the anti-synchronization controller. To prevent the controller design by active control method from indiscrimination, a simplified judging method of negative definite matrix is introduced to give the anti-synchronization active design of controller. A numerical simulation was done for the anti-synchronization between hyper-chaotic Chen system and hyper-chaotic Lorenz system, and the results verified the effectiveness of both the direct design method and active control method.