A machine for making absorbent items comprises a conveyor (9) for feeding a continuous strip (7) of absorbent items in a predetermined direction L, a cutting element (11) for cutting the strip into single absorbent items (2), a unit for feeding and applying to each stretch of the strip which will constitute a single absorbent item (2) a pair of fastening and closure elements (6) for the items the unit (13) comprising a roller (18) for conveying a succession of pieces (15), intended to form the fastening elements (6), a separating device (22) consisting of a pair of rollers (20, 21) which are at a tangent to the conveyor roller (18) and equipped with suction seats (29, 30), able to slide parallel with their axes, for forming respective successions (32, 33) of pieces (15), which are spaced out in a direction T transversal to the direction L, by a stretch having a predetermined length, a roller (23) for forming pairs of pieces (15), which is at a tangent to both of the rollers (20, 21) and equipped with a first and a second ring of seats, each seat (34) of the first ring being axially aligned with a seat (35) of the second ring so as to form a succession of pairs of pieces (15) which are aligned according to the direction T an accelerator roller (25) which is at a tangent to the roller (23) and to the feed conveyor (9) varies the pitch P of the pairs of pieces (15) according to the pitch Pl of the stretches of strip (7) intended to form the single absorbent items (2).Machine de fabrication d’articles absorbants, comportant un convoyeur (9) servant à faire avancer une bande continue (7) d’articles absorbants dans une direction prédéterminée L, un élément (11) de découpe servant à découper la bande en articles absorbants distincts (2), une unité servant à amener et à appliquer sur chaque tronçon de bande appelé à constituer un article absorbant distinct (2) une paire d’éléments (6) de fixation et de fermeture des articles l’unité (13) comportant un rouleau (18) destiné