An incontinence brief for an adult wearer has an absorbent body having a fluid-permeable inner side, a fluid-tight outer side, and an absorbent liner therebetween. The body is subdivided into a central part adapted to fit in a crotch region of the wearer, a rear part connected to the central part and adapted to fit against a rear waist region of the wearer, and a front part adapted to fit against a front waist region of the wearer. Two fastening straps adapted to fit around respective sides of a waist of the wearer each have a rear end secured to the rear part and a front part. At least one of the fasteners is provided between its respective front and rear ends with an elastic layer forming an elastically stretchable region, and each of the fasteners has an outer layer formed by a water-jet consolidated fleece.