To achieve a non-destructive measurement of stability of a dental implant accurately, a three-dimensional finite element analysis method was used to explore the feasibility to measure the stability of the dental implant by Surface Acoustic Wave(SAW) devices. First, a theoretical model related to the resonant frequencies of SAW devices and the torque under a shear stress gradient field were researched. And then, harmonic responses about the changes of resonant frequencies of the SAW devices under the gradient shear stress field were analyzed by using ANSYS finite element software. Finally, the theoretical model and simulation results were compared. The results show that the resonant frequencies of the SAW devices are in proportion with the maximum shear stress, though there is a 3% deviation between the theory and the simulation results. Also, there is a linear relationship between the torque and the resonance frequencies of the SAW devices. Therefore, the measurement of micro torque of the implant is theoretically feasible by SAW devices, consequently the stability detection of the dental implant can be achieved.