The invention relates to an acoustic skin (22) for an aircraft nacelle acoustic panel, said skin including a plurality of layers (105, 106) stacked with composite planar bands (102) that are each directed by the direction-defining longitudinal axis (107) thereof, the longitudinal axes (107) of the bands (102) of a single layer (105, 106) being parallel therebetween, said bands (102) of said single layer (105, 106) being spaced from each other so as to have acoustic openings within the acoustic skin. The invention relates to a panel including such a skin, to a method for manufacturing said skin, and to a drape-forming head for implementing the method.