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The key to image edge detection is to detect edges as much as possible and suppress noise effectively. Finally we want to meet the single-line edge positioning accuracy. For the purpose, a new edge detection method based on wavelet transform modulus maxima and mathematical morphology is selected to get the edge of image. First, the original image is decomposed by wavelet decomposition. After that, wavelet modulus maxima method and multi-scale and multi structure mathematical morphological method were used to deal with high-frequency components and low frequency components separately. Then, the two edges processed before were fused by sub-subtraction method and morphological edge thinning algorithm is used to get the thinning edge of the image. The experiments show that the fusion method can get more perfect edge, the single-line edge is more clear, and the positioning accuracy is improved.