Abstract: The preliminary works have found that fractal theory has greater leverage in the analysis area of the Internet architecture. So firstly the method of the renormalization of coarse-grain was used to deal with the IPV4 and IPV6 router level topology of the internet, and it was found that the characteristics of power index of degree distribution didn’t change with measurement scales of coarse grain. Secondly, the it was found that method of the fractal distribution function was used to calculate the fractal dimension of different dimensions of internet and explore the fractal characteristics of degree distribution of internet. Lastly, through the analysis of the CAIDA data source, the fractal characteristics of IP-level data were studied on during the time evolution, and then the appropriate conclusions were got. The research conclusions of this article can give the theoretical basis to the study on structural characteristics of the internet.