Abstract: The surface vibration waveform function caused by cuthole blasting in tunneling in actual rock medium is established. Based on the spherical charge, the theoretical solution of surface vibration waveform caused by the spherical charge blasting in elastic semi-infinite medium is derived by using the Hoop point source theory, and a more concise surface vibration waveform function of the spherical charge suitable for actual medium is then, constructed according to the surface vibration characteristics of the actual medium. Secondly, the blasting of cuthole in tunneling is simplified to the blasting of single-hole cylindrical charge. Finally, the vibration waveform function of the spherical charge is superimposed to obtain the surface vibration waveform function caused by the simplified cylindrical charge blasting, thus the surface vibration waveform caused by cuthole blasting is obtained and applied to actual tunnel engineering, and the influences of different surrounding rock grades on the surface vibration waveform caused by tunnel cuthole are discussed by using the vibration velocity waveform function.The surface vibration waveform function obtained in this study provides a scheme for predicting the surface vibration waveform of tunnel excavation blasting, and has certain engineering value.