Objective To explore the phenomenon of Deqi in the acupuncture process by modeling two different techniques of acupuncture therapy with viscoelastic theory. Methods Applying the established visoelastic theory and quasi-linear viscoelasticity theory of soft tissues, the calculated numerical results of two respective acupuncture techniques based on bi-dimensional polar coordinates by programming with Matlab 6.1 were analyzed. Results With the parameters of τ 1=0.0984,τ 2=8454.76 and C=0.0351, in low frequency domain(0～8Hz), energy consumption factor and Twirling-rotating technique were significantly affected by frequency. Furthermore, the whole plate energy consumption upon Lifting-Thrusting technique shows the extremism periodically with the cycle time of 8 Hz. Conclusion The energy consumption is significantly affected by those two different techniques in low frequency domain. In addition, the Lifting-Thrusting technique in low frequency domain would contribute to the explanation of the phenomenon of Deqi.