Abstract: The technique of time domain waveform synthesis of shock response spectrum is an important approach to simulate the complex shock environment in laboratory. The measured time domain waveform is decomposed by the local mean decomposition (LMD) method, and a set of PF signal components with different frequency distributions are obtained based on the LMD and the time domain waveform synthesis of the shock response spectrum. Then, a new set of PF signal components is reconstructed by using the data clustering analysis method for reconstructing the prior PF signal components. The frequency-amplitude characteristics of the new PF signal components are made to be consistent with the set of the shock response spectrum test conditions. The impulse signal can therefore be reconstructed by properly combining the reconstructed signal components. Simulation results show that the time domain waveform obtained from the shock response spectrum generated by the new method based on the LMD method can well represent the real shock environment, and the shock response spectrum has a good control accuracy.