Typhoon Morakot was the deadliest typhoon in Taiwan in the last 50 years. Different kinds of disasters resulting from Typhoon Morakot occurred simultaneously. These disasters, including flood, landslides, and landslide dams, are briefly explained in this paper. Simultaneous occurrences of these disasters resulted in composite hazards. The devastation of Siaolin village is an example of composite hazards and is described in this paper. Some of these disasters occurred simultaneously or consecutively in one place. Such disasters are defined as a compound hazard in this paper. It is concluded the current warning system for single disasters is perhaps insufficient to handle such composite hazards. It is necessary to develop a comprehensive system for decision makers to handle composite hazards.