In order to reconstruct the micro-vibration of objects quickly and easily,a vibration measurement method based on square arithmetic and multiple Hilbert transform is proposed.The collected interference signal is squared to double the number of interference fringes,and then the doubled interference fringes are subjected to one and three Hilbert transforms on both sides of the reverse point.A group of interference fringes with a phase difference of from the previous group is reconstructed,and the two groups of signals are quotient to obtain the unwrapped phase,thereby reconstructing the micro-vibration.At last,the effectiveness of the proposed method is verified through numerical simulation and experimental signals.