A brassiere is provided with a front piece forming the breast cups and with two side pieces extending around the upper body of an individual wearing the brassiere and which can be connected in the back area of the wearer. Shoulder straps extend from the breast cups to the back parts of the side pieces. At least part of the edges of the brassiere are folded over to form the marginal edge and fixed in this position by an adhesive layer is arranged between the folded-over edge part and the textile layer of the brassiere that faces it.