Abstract: Analyzing the power-law of the degree and coreness of the nodes of network and based on the evolution of Internet topology, the hierarchical model is integrated with ARIMA model so as to propose a prediction model for the evolution of IPv6 network topology. Then, the three years' data of IPv6 from January 2008 to April 2010 as authorized by CAIDA was chosen to verify the model, and the model was used to predict the characteristics of IPv6 network. The results showed that the evolution of IPv6 network follows a complex law. The prediction model is able to not only reproduce the evolution process of IPv6 network in the recent three years but also fit the IPv6 evolution in the last year. It is therefore inferred that the model can be applied to the prediction of the evolutionary trend of the IPv6 network. For example, the size of IPv6 networks will rise to around 9729 in the year 2012, and the number of links will increase to 17108.