To study the vibration characteristics of the radial gate panel, chaos theory was used to process the time series to determine the delay time τ and the embedding dimension m, to reconstruct phase space, and to calculate the chaotic eigen values of the time series. The complexity of the vibration of the panel during the opening and closing process of the radial gate was then studied. Taking the vibration of the radial gate panel of Dashixia Hydropower Station as the research object, the vibration of the radial gate panel at different opening degrees and different water levels was analyzed according to the panel pulsating pressure model test data. The results showed that the vibration complexity of the radial gate panel was high at high water level, with the bottom edge being more complicated than that of other parts. At the small opening degree, the vibration complexity of the radial gate panel decreased and the linear correlation increased. It indicates that linear vibration modeling calculations can be controlled by fewer independent variables.