A method of realizing synchronization of chaotic lasers in unidirectional chain-connection network is proposed. The single-mode laser Lorenz-Haken system with chaotic characteristics is taken as node to construct the complex network in unidirectional chain-connection. The appropriate Lyapunov function is constructed, and the structure of control input and the conditions of realizing global synchronization of the network are discussed and confirmed based on Lyapunov stability theory. It is found that the entire network is steady when the control signal is input only one node of the network. Then the correctness of theoretical analysis is verified by the artificial simulation.