In this paper a new method of synchronization of strange nonchaotic systems is proposed. Strange nonchaotic attractors are obtained from a chaotic system.driven by another chao tic system. Because the Lyapunov exponent of the strange nonchaotic attractor is negative it can sup presses the sensitive dependence on initial conditions of the chaotic system. In order to synchronize the strange nonchaotic system-contraction map is used to synchronize the chaotic driving system. Simul ations indicate that this method can synchronize fast　be robust to nose-easily be implemented and c an be used in the field of chaotic secure communication. 