In this paper, synchronization of both non-identical unknown network and identical known network can be considered. Based on Lyapunov stability theory, for the case of non-identical or identical network, synchronization criteria between drive-response networks are obtained, and both the uncertain parameters and unknown coupling configuration matrix are be identified or constructed. Meanwhile, the coupling matrix may be free. The proposed synchronization scheme is simple and easy to realize. Finally, three illustrative examples show the effectiveness of ...