Abstract: As a hot research topic, the nonlinear dynamics of cable-stayed bridge has been highlighted in the field of mechanics, structure and bridge. With the development of new materials, such as CFRP cable, and new construction technology, the main span of cable-stayed bridge has been enlarged, which make this kind of bridge more competitive in bridge engineering. However, the increase of its span and the application of new materials make the bridge structure become lighter and more flexible, so that the nonlinear vibration of the structure becomes more prominent than ever, which may endanger the safety of the bridge. Based on our research of the nonlinear dynamics of cable-stayed bridge in recent years, the research progress in recent 10 years on the nonlinear dynamics and modeling of large span cable-stayed bridge is reviewed in detail. The nonlinear dynamic models, theories and modeling and solving methods for cable, beam, cable-beam and cable-stayed bridges are discussed. The results show that the cable stayed bridge has rich nonlinear dynamic behavior due to the coupling problem of the multi flexible cable, the large span beam, and the complexity of the environmental load. At the same time, due to the bottleneck problem of high dimensional nonlinear system, the study on the nonlinear dynamic behavior of the whole cable-stayed bridge becomes very complicated. Finally, based on the future development trend of cable-stayed bridge, some new ideas on nonlinear dynamics of cable-stayed bridge is proposed and future research directions are discussed.