Cascading failure is a kind of dynamic effect of node failure, which can be instantly spread to the whole network, causing global network paralysis, and becomes the bottleneck of the large-scale application of the scale-free network. In view of the cascading failure of the scale-free network, a new method is proposed, which can resist the failure of any single node. A cascading failure model is established according to the characteristics of the constant capacity of nodes in the scale-free network, and the load limit of the large-scale cascading failure of the network is obtained. Then according to node degree descending attack failure behavior, a cascading failure mitigation strategy is proposed. Simulation results show that the network can significantly improve the cascading failure resilience of the scale-free network, only by taking the mitigation strategy for a small part overloaded nodes with large node degree once in the network. Numerical simulation shows that the total number of nodes and the capacity of the network are proportional to the cascading failure resilience.