Based on the earth-mine resonance model, a model combining resonance and anti-resonance was presented for acoustic mines detection. Considering the high compliance and low-frequency acoustics characters, a landmine and the earth on top of it were respectively equivalent to a spring and a mass, resulting in a mass-spring system. The model’s resonance and anti-resonance mechanisms were discussed by means of frequency response function. The experimental results showed that the vibration velocity ratios of the ground surface with and without mine buried under it show alternate maximum and minimum frequencies with the ratios greater than 1, and less than 1 respectively. The results consisted with the theoretical prediction and indicated that the earth-mine system’s resonance and anti-resonance mechanisms exist concurrently, which can be used to further study of the acoustic mine imaging.