According to the precise shape-controlling technique of single crystal hollow turbine blade in aero-engine, the research achievements on the precise shape-controlling technology of single crystal hollow turbine blade were generalized and analyzed from several aspects, which include the precise forming technology of complex ceramic core, the near net-shape investment casting technology and the controlling means of dimensional accuracy combining with the research situation at home and abroad. The researching results of the precise shape-controlling technique for single crystal hollow turbine blade were mainly introduced. Meanwhile, the future researching scope of the precise shape-controlling technique of single crystal hollow turbine blade was discussed.