Detection and correction of fringe phase error is one of the key point s in Fourier transform spectrometers.The carrier phase synchronization,Fourier transform an d Windowed Fourier transform are three major fringe phase error detection methods.The perf ormance comparison of them is carried out by the paper and some beneficial results are f ound through simulation and experiment.There are big difference between them when detecting slow varying and fast varying phase error in the noise.The carrier phase synchronization met hod is suited to detect slow varying fringe phase error while Fourier transform and Windowed Four ier transform methods are suited to detect fast varying fringe phase error.Fourier transform method can get better result in high level of signal noise ratio and Windowed Fourier transform method is more robust in low level of signal noise ratio.