A method for making absorbent sanitary articles including the steps of preparing at least a first continuous web and a second continuous web of material, the first having two longitudinal edges parallel to each other, cutting the first web in such a way as to divide it into a plurality of portions positioned one after the other, rotation and/or translation of at least part of the portions so as to associate them in pairs to define a plurality of pairs of portions and connecting the portions to the second web. The cutting step is performed in such a way as to form, on the first web, an alternating succession of first, second, third and fourth portions, having respective orientations different from each other and each equipped with a first and a second side parallel with each other, defining part of the longitudinal edges of the first web.