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Because of the influence of SAR image’s coherent noise, the classic method of edge detection (Canny, Roberts, Prewitt, etc.) does not apply to the SAR image. Detection performance of the method of hypothesis testing based on SAR image (Ratio algorithm, etc.) does not change following the changing of image intensity, and edge detection error rate is low, but the detected edge segment is thick. To solving these questions, a modulus maxima method combined with improved Contourlet transform and improved wavelet transform is presented to detect SAR image edge in 16 directions, using the characteristic of wavelet multiresolution analysis and the capability of Contourlet transform to fully capture high dimension singular information of image. The test results show that the location of exacted edge of the SAR image is precise, and the speed of computing is fast, which is help to the subsequent image matching.