In order to solve the problem that the existing methods can only verify whether a given fading channel model obeys Rayleigh distribution, but unable to verify which spectrum it obeys, this paper proposes a comprehensive verification method for Rayleigh fading model, which can effectively solve the problem. The first-order statistical characteristics are used to validate whether the Rayleigh distribution is obeyed or not, and then the Doppler PSD is used to validate which Rayleigh fading model belongs to. Firstly, the envelope amplitude sequence is extracted from a given complex sequence of fading channels. Calculate the statistic proportion of actual sequence according to the inflection point of the ideal distribution function, and its first-order statistical characteristics are verified by the difference function. Secondly, the Doppler power spectral density of the complex sequence of fading channels is extracted. Using logarithmic mean square energy error (LMSEE) to determine the type of Doppler power spectral density, which is calculated with the theoretical Doppler PSD. Then, the verification of given fading channel model is completed. A large number of simulation experiments and physical validation are carried out. The output signals are obtained by passing the input signals through fading channel models. The recognition performance of common Rayleigh fading models is verified by analyzing the statistical distribution of output signals. The results show that the recognition accuracy is over 98%, which indicates the effectiveness of this method.