Abstract: Global asymptotical stability of a class of cellular neural networks with both multiple time-varying and distributed delays is studied on the basis of Young inequality approach and properly built Lyapunov function. Some new sufficient criteria are thus given to ensure the global asymptotical stability for the equilibrium points in relevant cellular neural networks. Compared with some results in earlier works, the obtained criteria are less conservative and wider in application. A simulation example verifies the effectiveness of what are concluded from the study.