The evolution mechanism of BBV weighted network and the linear preferential attachment of BA model were used to build a directed-weighted supply chain network model, including the nodes added, the compensation mechanism and the in-out links in accord with Bernoulli distribution in the sub-network. The theory of Poisson process was utilized to analyze the in-out strength distribution. The result shows that the node and network's in-strength and out-strength of supply chain network have a power law distribution with degree exponent γ, ω of[1, 3]. A simulation was carried out on the supply chain model, and its results are in line with the theoretical prediction results and consistent with the power law distribution of supply chain network.