Abstract: Landing exploration is the most direct and effective way to obtain the planetary science data and information, and also is currently the most difficult and complex task. The dynamics and control problem is one of the key issues affecting the mission success during the landing exploration. Firstly, related problems and challenge are dicussed in this paper. Secondly, the landing exploration on Mars and asteroid is reviewed, including the research status and key issues of the dynamics and control problem involvied in the Mars entry phase, the descent phase and the asteroid touch down phase. Finally, the prospects for problem of dynamics and control for Chinese future mission to planetary landing are discussed.