To solve the interference of square-wave signals in the phase-shift characteristic calibration of square-wave powered pressure sensors, a reliable calibration method for the phase-shift characteristics of airborne square-wave powered pressure sensors based on sinusoidal excitation is proposed. With the Hilbert transform envelope extraction algorithm, the sinusoidal response signal is identified first from the output of the pressure sensor. Then, the zero offset of the sinusoidal response signal is eliminated by combining robust local mean decomposition algorithm and fuzzy entropy index. Finally, the initial phase of the pressure sensor is estimated based on the four-parameter sinusoidal fitting algorithm, and the phase shift characteristic is calibrated according to the initial phase of the reference pressure sensor. The calibration performance of the proposed method is evaluated by simulation and sinusoidal pressure calibration experiments. The simulation results show that the average relative error of the phase shift characteristic obtained by the proposed method under sinusoidal pressure excitation of different frequencies is about 0.594%, which is less than that obtained by traditional methods such as empirical mode decomposition (24.543%), and extremum envelope method (1.553%). The calibration experiments prove that this method can effectively solve the coupled problem of modal interference caused by sinusoidal excitation signal and square-wave powered signal, leading to inaccurate extraction of sinusoidal responses signal, and achieves reliable calibration of phase shift characteristic of airborne square-wave powered pressure sensors.