Aiming at the problem that the power interference in the sensor transient response is difficult to remove due to frequency swinging, harmonic and frequency aliasing, a joint anti-power interference method of iterative ICA and LEVKOV is proposed. For the proposed method, the iterative ICA method is combined with LEVKOV method; iterative ICA method is first used to reduce the power interference with frequency swinging based on constructing reference signal of power interference, and then LEVKOV method is used to further remove the weakened power interference and its harmonic interferences by the means of mean filtering for linear segment and noise template filtering for nonlinear segment, so as to improve the filtering accuracy of the power interference mixed in the sensor transient response. The simulation and experimental data verification results show that, compared with the separated iterative ICA method and LEVKOV method, the proposed anti-power interference method of combining iterative ICA and LEVKOV has a better suppression effect on the power interference in the sensor transient response.