With the rapid development of transportation and the development of offshore projects, more and more sea-crossing bridges will be built and developed in the future. However, the marine environment in which the sea-crossing bridge located is extremely complex, it will suffer from the huge threat of storm surge and tsunami and other complex and extreme disasters.In recent years, scholars at home and abroad have carried out related research on the problem of extreme wave (wave-current) forces on the superstructure of sea-crossing bridges. In this paper, the theoretical, numerical and experimental research and progress of the superstructure of sea-crossing bridges under extreme waves (wave-current) are reviewed in recent years. It is pointed out that the wave-current interaction should be considered in the simulation of the real marine environment, and the interaction of the superstructure of sea-crossing bridges and extreme wave (wave-current) is a kind of fluid-solid coupling problem. In the future, it is necessary to consider the dynamic response of the superstructure of sea-crossing bridges in numerical calculations and flume tests, and to study the failure mode and failure mechanism of the sea-crossing bridge under the action of extreme waves (wave-current).