Abstract: In contemporary society,model study in economic system has been one of the hot object in scientists．Many of the complex economic system can exist in nature．In these complex economic and mathematical model,when we research the relative characteristics of complex economic system,we must consider the targeted structure in complex network model characteristics．This thesis mainly researched the complex network of traditional economic and social system,gave a new research ideas for the socio-economic system in complex network。

Key words: Complex networks,Economic system,Supply and demand model