It is one of the most important applications in holography to use hologram to obtain the phase information, and noise reduction is necessary in the process. The conventional denoising algorithms often cause fringe breaks and loss of phase detail when the phase of optical filed has high spatial variation frequency, these problems can be reduced significantly through introducing shearing interferometry, but it has not been researched which denoising algorithm will get the best denoising result. Shearing median filter algorithm is compared with shearing wavelet denoising gorithm, which presents corresponding theoretical analysis, fulfills simulated calculation and experimental verification, and proves that the denoising result of wavelet denoising algorithm is the best.