Abstract: In order to make a network which has no direct coupling relationship between nodes and can be controlled to realize synchronization, a new complex network is constructed using the idea of quorum sensing in biological systems. The network nodes are connected through the induction between the diffused external signal and nodes. The synchronization problem of the complex network nodes is studied in the periodic boundary conditions. It is proved that complete synchronization can be realized by controlling the quorum sensing strength of nodes according to Lyapunov stability theory. The simulation results show that the synchronization is achieved at periodic solutions and the complexities of the periodic solutions are different when the quorum sensing strength is different．