A review is conducted of advances and developing trends over recent years in numerical methods for simulation of landslides and surges in four stages, including slope instability, slope sliding, surge generation, and propagation, in reservoir districts. The achievements in numerical methods for simulation of slope sliding and surge generation are summarized. It is pointed out that landslides and surges should be considered an integrated continuous process from the slope instability to surge propagation stages, and, based on current research of each stage, the relevant research methods of solid and fluid mechanics should be combined in future research, so as to construct numerical models for the entire simulation process of landslides and surges in reservoir districts.