Two kinds of synchronization control are proposed for chaotic systems with constant Lyapunov spectrum based on adaptive method. The first method can realize complete synchronization, anti-synchronization, projective synchronization and hybrid synchronization control, respectively. This method may be prove the validity by using the Lyapunov stability theory. The second method is adopted to design a special hybrid controller to achieve anti-synchronization, which includes two parts, which are pre-controller and feedback controller. The main characteristic of the second scheme doesn't need to rely on the Ross-Hurwitz criterion and be suitable for the synchronization of high dimension chaotic system. Finally, numerical simulation is given to show the effectiveness of the proposed method.