A new adaptive morphological filter is proposed in this paper. The filter utilizes the omnidirectional structuring elements and morphological open-closing or clos-opening operations. The outputs of the morphological operations by each structuring element are linear weighted processed by means of the adaptive method under the constrained least mean absolute (CLMA) error criterion. The new filter is applied to restore a noisy image and compared with the traditional morphological filters. The simulation results have shown that the new filter possesses effective noise suppression without blurring the geometrical features of the image.