A disposable absorbent article includes an absorbent core, a liquid permeable topsheet, a liquid impermeable backsheet, and a pair of elastically contractible cuffs, each of which is constructed of a continuous cuff material and has a standing cuff portion which includes one or more elastic members. Each elastically contractible cuff may be secured the topsheet about a longitudinal edge of the topsheet by an assembly bond, with a standing cuff portion laterally offset away from a longitudinal edge of the absorbent core and with one or more elastic members located outboard of the assembly bond.