Abstract
In this paper, we propose the sychronizaion of the two coupled Rossler systems. First, we construct a specific Lyapunov function to check the sychronizaion of the two coupled systems. Through the construction of Lyapunov function we can see that the two coupled systems will be synchronized under some certain circumstances. Second, we will display the numerical results to show the effectiveness of synchronization, the Lyapunov exponents of the Rossler systems, and projections of Rossler's hyperchaotic attractor with different parameters.