Major emergencies are the result of the interaction of many factors, which are characterized by suddenness, uncertainty, wide range of influence and great destructiveness. From brewing, outbreak, diffusion to termination, each stage is independent and interrelated. This requires leading cadres to make dynamic adjustments to corresponding strategies and measures according to the development and changes of the situation when dealing with major emergencies. The ability to deal with emergencies has characters of stages, adaptability and dynamics. From the theoretical perspective of crisis life cycle, this paper analyzes the core competence of leading cadres in dealing with major emergencies at different stages according to the stage characteristics of major emergencies, and puts forward a dynamic model of advanced governance ability of leading cadres in dealing with major emergencies.