In order to study the influence of tunnel excavation by a drilling and blasting method on the ground surface, a method of predicting ground surface vibration waveforms suitable for actual drilling and blasting tunnelling engineering is established. First, based on the theoretical solution of surface vibration waves caused by spherical charge blasting, a more concise surface vibration wave function of spherical charge that is suitable for practical engineering is constructed. The correctness of the constructed waveform function is verified by the measured data. Second, the waveform function of surface vibration waves caused by cylindrical charge explosions perpendicular to the tunnel working face is obtained by superposition of the spherical charge. Then, the surface vibration response of the unexcavated section during tunnel blasting is calculated using the vibration wave superposition method. In the excavated section, the influence of the hollow effect of the tunnel on the vibration wave propagation was considered, and the surface vibration response of the tunnel was analysed using conformal transformation and vibration wave superposition. Finally, based on actual engineering, the correctness of this blasting vibration prediction method is verified using field test data.