An algorithm of correction of random phase-shifts error is proposed by applying Lissajous calibration technology to PSI. Proposed method does not have to calculate the true phase shifts of each interferogram, which directly estimate the phase extraction error (typically a non linear combination of offset, bias, less of quadrature) of PSA first and then correct them. Simulation results show that proposed method can effectively correct the phase extraction error from a series of (>3) interferograms with random phase-shifts errors without any iterations. The algorithm is fast, accurate and adapt to all kinds of PSAs. Experimental results indicate that proposed method has a comparative precision with AIA but is far faster than AIA.