An absorbent article (1) of the panty type such as a diaper panty, a sanitary panty or an incontinence panty, said article having a core or central region (3) comprising an absorbent core (2) and a frame or frame (4) said frame comprising a front panel (5), a rear panel (6) and an elastic waistband (7), each of the front and / or rear panels having a waist edge (5a, 6a), a crotch edge 5 (5b, 6b) and a pair of side edges (5c, 6c; 5d, 6d), in which the front and rear panels are joined together along fingers opposite side edges to define a waist opening and a pair of leg openings, at least one of the front and rear panels (5, 6) comprises an elastic band material (10) that constitutes the sole component of at least part of the front and rear panels, the elastic waistband being attached (7) at the edge of the waist (5th, 6th) of at least one of the front and rear panels terior (5, 6), in which the elastic waistband (7) comprises a first and second layers (20, 21) of substantially non-elastic band material (22) enclosing at least one elongated elastic member (14), said said having article a longitudinal direction (y) and a transverse direction (x), characterized in that said first layer (20) of substantially non-elastic band material is secured to one side of said elastic band material (10) at the waist edge ( 5th; 6a) of at least one of the front and rear panels (5; 6) and because said second layer (21) of substantially non-elastic band material is secured to the opposite side of said elastic band material just opposite to said first layer (20) , the first and second layers being secured to the elastic band material (10) while it is in a stretched state, forming the first and second layers (20, 21) of substantially non-elastic band material (22) with said material (10) of elastic band secured between them a waistband seam (16), in which the first and second layers of material substantially non-elastic form folds (29) along said waistband seam (16) when said elastic band