The paper aimed at the centralization research on the scale-free network evolution model which is based on the coupling coefficient. At first it analyzed the centralization indexes which are frequently used, and then researched the cumulative probability distribution appoint to the several indexes on the nodes between classical scale-Dee (BA) model and the evolution (BA-S) model, finally researched the centralization degree and the efficiency for the two mo- dels. The results prove that the evolution (BA-S) model has a more robu...