Abstract: An algorithm of SAR image denoising in Nonsubsampled Contourlet Transform(NSCT) domain based on Maximum A Posteriori(MAP) and Non-Local(NL) restriction is proposed in this paper. Nonlogarithmic additive model is applied to SAR image, and then the statistical distribution of the noise within nonlogarithmic additive model is modeled in the NSCT domain. MAP and NL restriction are used to get the NSCT coefficients of the real signal. Experiments show that the algorithm proposed in this paper is effective in SAR image denoising, and also possess high performance over many traditional algorithms.