Image fusion, an important branch of data fusion, is the process of combining relevant information from two or more images into a single image where the resulting image will be more informative than any of the input images. The result image should be more suitable for visual perception and machine perception or computer processing. The goal of image fusion is to reduce uncertainty and minimize redundancy in the output as well maximize relevant information particular to an application or task. Mutlifocus image can be fused using Laplacian Pyramid (LP). LP is computed using two basic operation: reduce and expand that involve low-pas filter. The filter used in LP is Gaussian. In this paper, we propose a multifocus image fusion substituting in LP the Gaussian filter by Alpha Stable filters and using an adapted distance as integration rule in LP. We apply this method to multifocus images where the blurred part is generated using Gaussian filter and we compare with some news methods. The proposed method give the better results.