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Aiming at the difficulty of extracting weak periodic signals in the background of impact noise, the cascade stochastic resonance method based on levy noise as background noise is proposed. Firstly, the relationship between the spectrum value of weak signal and the levy noise parameters is summarized numerically. Secondly, the changes of the parameters of the system parameters are analyzed. Finally, the cascade system is used to extract the weak signal under the background of levy noise. The results show that the optimal interval of the random resonance parameters don’t change with the change of the noise parameter α and β, The amplitude of the system output signal will change with the change of noise parameter α and β, but not much. In cascade system, the spectrum value of the output signal to be detected by the second level system is 1.4 times that of the first level system. The system has strong practicability for the extraction of weak signal in the impact environment.