To deep understand the SMS network topology and evolution,we compare four representative SMS network models,analyze the network parameters of each model,and point out their advantages and disadvantages,which gives the direction for further research.The research proves that the degree distribution of SMS network obeys power-law distribution,and it is a Scale-free network with power-law exponent between 2 and 3.SMS network has high clustering coefficient and short average path length,namely small world properties.