Abstract: In order to improve the azimuth estimation capability of the minimum variance distortionless response （MVDR） beamforming algorithm， the output power spectrum of the MVDR algorithm was reformed as a convolution form， two deconvolution post-processing techniques were proposed to deconvolve the azimuth spectrum of MVDR. The algorithms take the MVDR azimuth spectrum of a single sound source at the center of the angular space as a point spreading function （PSF）， and use the Richardson-Lucy algorithm and the fast iterative shrinkage-thresholding algorithm （FISTA） to deconvolute the MVDR （MVDR-RL， MVDR-FISTA） azimuth spectrum. The MVDR-RL and MVDR-FISTA azimuth spectrum has lower background level， higher resolution， and higher estimation accuracy. Simulation experiments show the good performance of the proposed algorithm.