In this paper,a two-coupled Hindmarsh-Rose neuronal system with memristors is studied and the effects of the transmission time delay between neurons are taken into account.By analyzing the stability of the equilibrium point,the delay-dependent stability conditions are obtained.Numerical simulations are performed to justify the theoretical results and a variety of rich and interesting dynamical phenomena are also explored,such as different firing behaviors.The platform of the circuit experiment for the coupled neurons is built and the revealed phenomena reach a good agreement with the obtained results.It is shown that the time delay plays important roles in the stability and firing behaviors of the system.