Multilayer absorbent pads for nappy/diaper pants are manufactured on a unit(1) comprising a first device (3a) and a second device (3b) by whichrespective first and second layers (4a, 4b) of absorbent material (5) aretaken up from two infeed stations, shaped, and transferred to two releasestations. The devices (3a, 3b) are synchronized in operation, and associatedby way of a transfer station (8) at which the first layer (4a) of absorbentmaterial is joined directly to the second layer (4b) , positioned selectivelyand with the second layer still retained by suction on the second device (3b); the two layers are thereupon compressed simultaneously to form an absorbentpad (2) that emerges from the unit as a stable, one-piece core.