To identify the number of modes of vibration in the random theory results for wind vibration,the empirical mode decomposition(EMD) method and wavelet transform method are used to analyze the joint characteristic for self-induced response signals of aeroelastic model.First,the intrinsic mode functions(IMF) are directly decomposed from original signal with EMD,and then the signal characteristic parameters of every IMF can be extracted with wavelet transform,which are compared with the results by traditional spectrum analysis method and wavelet transform on original signal.The combination of EMD and wavelet transform method can identify the high-order mode of vibration;the main characteristics of signals in arbitrary frequence band can be obtained;and the distribution of signal energy with time and frequence can be displayed more clearly.The numerical simulation and the analysis of response signal date show that this method is effective and practical.