Long-distance transmission lines frequently suffer from natural disasters, which may result in large-scale cluster faults in power systems and further influence the security and stability of power system. Consequently, it is necessary to study the defense methods for natural disasters. The defense methods can be divided into two categories:improving the design standard for primary system to avoid faults, and implementing security and stability control methods to reduce the loss. However, improving the system design standard will increase large construction cost of transmission lines. In addition, the improvement of design standard cannot exhaustively eliminate faults of transmission lines. As a result, current research pay more attention on security and stability control methods for natural disasters from the following aspects:information collection for natural disaster defense, risk assessment of the power system under natural disasters, security and stability control methods for coping with natural disasters and so on. Therefore, this paper summarizes the security and stability control methods for natural disaster and points out some further research directions, which may provide a reference for future study. This work is jointly supported by National Natural Science Foundation of China (No. 1507080), Science and Technology Project of State Grid Corporation of China (Analysis of Interactive Influence Between Power System and External Information and Application Function Design), Science and Technology Project of Yunnan Power Grid Company (No. YDTZ-F2014-105), Science and Technology Project of Northwest China Grid Company Limited (No. 52250115000v), and State Key Laboratory of Smart Grid Protection and Control.