Numerical tsunami simulation has significant meaning in helping us understanding its physical characteristics and making prediction and mitigation decisions. More and more researchers are using this tool. This paper reviewed the general method in current numerical tsunami simulation, including the description of its physics, splitting of the physical processes, governing equations for different processes, common numerical tsunami simulation method, the key points and hard points. Then we reviewed some important numerical tsunami simulation models which has great influence among the international tsunami research community, and discussed their implementation and characteristics respectively.