The research prospect of temperature field of laser remelting and laser cladding were discussed. Two and three dimensional steady-state and unsteady-state heat transfer model were introduced. The results from these models and the experiments were cxxnpared. Some main factors that influence on the establishment of models were discussed. The research will be helpful to the research of physical process of laser-matter interaction and will supply the theoretical guidance for establishing measures of laser repairing cracks of components.