In this paper，a new idea about network split is presented according to the different nature of the network links. Time-delay has been introduced into networks to effect the split and on that a model of complex dynamical networks with multi-links has been constructed. Based on Lyapunov theory，the stability analysis of networks with multi-links is also studied. The sufficient conditions of the stability of networks with time-delay and without time-delay are respectively presented. The validility of the results are proved by numerical simulation of this paper.