Abstract: In order to realize the effective prediction of vibration waveform of step group blasting, a single hole blasting vibration prediction model was first constructed with a copper mine in Hubei Province and a limestone mine in Beijing as the engineering background. The model parameters were taken as the dependent variables, and the regression models of model parameters and Q, R and C_p were determined with the charge (Q), blast center distance (R) and rock mass longitudinal wave velocity (C_p) as the independent variables. The peak vibration velocity predicted by the single hole blasting vibration prediction model and the peak vibration velocity calculated by Sadowski formula are compared with the measured wave peak vibration velocity respectively, which proves the superiority of the single hole blasting vibration prediction model in the prediction of peak vibration velocity. The single hole blasting vibration prediction model is combined with Anderson linear superposition model to construct a group blasting vibration prediction model. The output curve of the model is in good agreement with the field measured curve, which proves the validity of the constructed group blasting vibration prediction model.