A machine for folding, cutting and stacking napkins, comprising: - a feeding station, comprising means configured for conveying downstream of said feeding station at least one continuous sheet of a material with which a plurality of napkins is to be made; - at least one pair of folding rollers, arranged downstream of the feeding station and adapted to be fed with said continuous sheet, said folding rollers being rotatable about axes of rotation which are mutually parallel and arranged, when in use, along a horizontal direction, said folding rollers being configured in such a way as to push the continuous sheet so that it is arranged according to a plurality of superimposed zig-zag layers, having a dimension, in a horizontal direction perpendicular to the axes of the folding rollers, equal to at least the width of two juxtaposed napkins, the overlapping direction of said layers of continuous sheet defining a feed direction of the folding and stacking cycle of the machine; - a blade, arranged downstream of the folding rollers parallel to the axes of the latter, in a median position with respect to the interaxis spacing between said folding rollers, said blade being adapted to cut centrally said superimposed layers of the continuous sheet fed by the folding rollers so that two identical napkins are formed from each layer; and - a pair of spacers, movable along a direction parallel to said feed direction and along a direction parallel to the interaxis of the folding rollers, said spacers being arranged symmetrically with respect to the blade and having fingers elongated in a direction parallel to the interaxis distance between the folding rollers, said fingers being configured in such a way as to stably support the napkins downstream of the blade, with respect to a horizontal plane perpendicular to the feed direction, and/or compressing the napkins upstream of the blade in the direction of said blade; the machine characterised in that the folding cylinders have, on their side surfaces, circumferential slots in a number and arrangement corresponding to the number and arrangement of teeth of the spacers, said circumferential slots being adapted to allow the insertion of said teeth into the radial thickness of the folding cylinders. - a feeding station, comprising means configured for conveying downstream of said feeding station at least one continuous sheet of a material with which a plurality of napkins is to be made; - at least one pair of folding rollers, arranged downstream of the feeding station and adapted to be fed with said continuous sheet, said folding rollers being rotatable about axes of rotation which are mutually parallel and arranged, when in use, along a horizontal direction, said folding rollers being configured in such a way as to push the continuous sheet so that it is arranged according to a plurality of superimposed zig-zag layers, having a dimension, in a horizontal direction perpendicular to the axes of the folding rollers, equal to at least the width of two juxtaposed napkins, the overlapping direction of said layers of continuous sheet defining a feed direction of the folding and stacking cycle of the machine; - a blade, arranged downstream of the folding rollers parallel to the axes of the latter, in a median position with respect to the interaxis spacing between said folding rollers, said blade being adapted to cut centrally said superimposed layers of the continuous sheet fed by the folding rollers so that two identical napkins are formed from each layer; and - a pair of spacers, movable along a direction parallel to said feed direction and along a direction parallel to the interaxis of the folding rollers, said spacers being arranged symmetrically with respect to the blade and having fingers elongated in a direction parallel to the interaxis distance between the folding rollers, said fingers being configured in such a way as to stably support the napkins downstream of the blade, with respect to a horizontal plane perpendicular to the feed direction, and/or compressing the napkins upstream of the blade in the direction of said blade;