Supply chain network is a complex giant system and its complexity determined by the structure of network. A new security analysis method of supply chain network is proposed in this paper, which concentrate on the topology structure security of networks based on complex network theory. According to the complexity of network topology and its kinetic characteristics, we found that the growth of supply networks with scale-free properties, which is robustness on the random attack, but fragile on the selected attack. This paper propose two options to improve supply chain network survivability, the one is to protect these core enterprises; the other is the formation of local alliance between enterprises.