The coupling synchronization problem between delay networks composed of neurons with external electrical stimulation is researched. Firstly, a class of neurons with external electrical stimulation is used to form a coupled delay network. Furthermore, by constructing appropriate Lyapunov-Krasovskii functional, the stability theorem and Lipschitz condition are used to design the adaptive law of coupling coefficient, and the synchronization condition of coupled delay network is obtained. Finally, the validity of the synchronization scheme is verified by simulation.