According to the cascading failure characteristics of complex network, this paper proposed a model of cascading fai-lure survivability for hazardous materials transportation network HMTN in the face of terrorist attack. Under the condition of the terrorist attack, it analyzed the cascading failure process of HMTN, and defined the cascading failure survivability of HMTN. From the perspective of result and process, it proposed the survivability indicators and their calculation which were node survival rate number of the second relative cascading failure. By establishing the scene, it gave the simulation flow chart, and quantitatively researched the different node's degree, different capacity coefficient and different planning of HMTN under cascading failure, and it realized in the use of programming in the MATLAB. The results show that the model is effective, and can provide new ideas and methods to optimize the topology structure of hazardous materials transportation network.