A new filtering algorithm using generalized morphological operators and fuzzy logic is proposed for suppressing speckle noise in images. Generalized morphological close-open and open-close operations with a directional structure element are used , and the several filtered versions with different directional structure elements are acquired, then computing the fuzzy membership of the versions′ every pixel according to the designed fuzzy rule are computed. The final filtered image is composed of all the pixels with corresponding maximal membership. Experimental result proves that performance of the proposed scheme is superior to that of lee′s filter, F.Safa′s algorithm, weighted morphological filter.