A visualization method based on dynamic topological graph specific to satellite networks changing over time is proposed. The challenge of dynamical topological graph visualization lies in how to preserve the dynamic stability during visualization process and facilitate the perception of dynamic change of networks for users. Firstly, a continuous dynamical topological graph model was built, based on the analysis of dynamic characteristic of satellite networks. Then, a strategy for preserving dynamic stability of layout was designed and a dynamical topological graph layout algorithm was proposed, based on force-directed. Finally, the Iridium system was taken as a representative instance and the rationality and feasibility of our approach was validated. The experiment illustrated that the visualization results of our approach effectively supports the perception and understanding of dynamic topological of satellite networks.