In this paper, a synchronous method of multiscroll chaotic system with continuously changing the quantity of attractors is proposed. Based on Lyapunov stability theory, a synchronous controller is designed. The controller makes the multiscroll chaotic system with continuously changing the quantity of attractors remain synchronization at all time, while the controller is invariable. Finally, taking synchronization between grid multiscroll Colpitts hyperchaotic system and hyperchaotic Lorenz system as an example, a numerical simulation study is carried out. The simulation results show the effectiveness of the controller.