Abstract: Being based on the study of complex science,focusing on specific application of complex networks,this paper forms a theory model of network structure and deduces some statistical characteristics of this network structure.The conclusions are as following:The revealing of structure and feature of competitive ability by using complicated and scientific methods expands research version and path.It also explores a new paradigm for creative research of competitive ability;The network structure of competitive ability derives from "point" and resulted in "edge"."Point" is the basic opponent to form the network structure."edge" is the driving force of evolution and upgrade."Add point","add edge","reduce point","reduce edge","measurement" and "enhance point" are important mechanisms of the network evolution of competitive ability;See from the statistical characteristics,the network structure of competitive ability belongs to scale-free network,which is provided with small world phenomenon.In the process of developing and upgrading the network structure of competitive ability,features like growth,metamorphism,robustness,high aggregation and short length can be found.