Abstract: Water-entry impact and slamming phenomena fall into complicated transient physical problems whether in theoretical analysis or in numerical simulation. Developments of theory, experiment and numerical simulation on water-entry impact problems were summarized by dividing the concerned researches into three stages in terms of time sequence. The studied content and focus at present on water-entry impact and slamming phenomena were introduced, and numerical modeling techniques were highlighted particularly. Researched results can provide a reference for the further investigation on water-entry impact problems in manned and unmanned spaceflight and marine domains.