Vibration drilling or tube sinking/compacting machinery is widely used in construction works but the systematic analysis of the influence of the frequency ratio on vibration tube sinking machinery power is also lacking. Furthermore, the driving power sometimes increases abnormally, and how to calculate it still perplexes engineering designers. In this paper, the average power and instantaneous power of inertial and non inertial excited vibration machinery is calculated and analyzed with the damping dissipation power method. The results show that, the dissipation power of the inertia excited vibration system is approximately proportional to the square of the excitation force angular frequency in the whole frequency range for large damping (0.5＜ ζ ＜1). For small damping (damping ratio ζ ＜0.5), only in the resonance range the power is proportional to the square of the excitation force amplitude and inversely proportional to damping. Moreover, it is the small damping that causes abnormal power increase. Non inertial excitation machinery can only absorb enough power when working near the damped resonance range. During the design of vibration tube sinking machinery, not only is it necessary to meet the average power requirement of the system, but also to verify the maximum instantaneous power requirement.