Synchronization control problem of the one-way coupling was studied for a modified Liu chaotic system. Based on Lyapunov stability theory, the stability of the modified Liu chaotic system analysis was studied, the system one-way coupling coefficient of construction control method was proposed, the synchronization control problem was investigated by using Matlab software for the error system of response system, numerical effectively to realize the synchronization control goal of the system shows the design principle of the synchronous circuit; the synchronization control validation was controlied and carried by using Multisim circuit simulation software; numerical analysis and circuit simulation software, the experimental results are consistent, mutually verify its correctness and effectiveness.