new nonlinear weighted average multidirectional morphological filtering algorithm is proposed, which is used in suppressing speckle noise. The algorithm, otheralgorithm proposed by us, wavelet soft thresholding algorithm and Lee′s filter are applied for suppressing speckle noise in the Impulse Coherent Laser Radar Images, and the their results are compared. The conclusion proved the improvement of the proposed algorithm in suppressing speckle noise under the condition of preserving edges of the image