This article introduce the evolution of scale-free networks, as well as the role of betweenness. In the actual network betweenness has certain influence on the new vertex, in view of the fact that betweenness has tremendous role and influence in the process of evolution for the scale-free networks as well as the limitation of the scale-free networks itself, therefore proposed one kind of scale-free networks model based on betweenness. through the simulation we can obtain that this network model obeys the power-law distribution, compared with BA it has bigger clustering coefficient and smaller average path length.