Abstract: Based on the process of modulating white noise, the frequency function is determined, and the gamma function is selected as the intensity function to construct a single-hole blasting vibration prediction model that can describe the randomness and non-stationarity of the waveform. Taking the field measured waveform as the comparison sample and the residual similarity as the evaluation index, the approximate interval of the model parameters conforming to the field measured waveform is calculated by the trial and error method. The trial and error interval of each parameter is divided and the optimal parameters of the model are obtained by orthogonal design and range analysis. The optimal parameters of the model are substituted into the blasting vibration prediction model. The output waveform curve of the model is in good agreement with the peak time, peak vibration velocity, duration and main frequency of the field measured waveform, which proves the correctness of the constructed model and the parameter determination method. The output peak vibration velocity of this model and the prediction results of Sadovsky formula are compared with the peak vibration velocity of the measured waveform respectively. The smaller calculation error proves the superiority of this model.