To improve conventional brassieres with respect to their wearing comfort and their overall look.

According to the invention, with its edge, the exterior textile blank (22) is folded twice over the upper edge (18) and/or the lower edge (19), respectively, whereby a first foldover (24), with inclusion of the support part (15), extends directly along the upper and/or the lower edge (18, 19), and a second foldover (25) extends between the support part (15) and the first foldover (24). Whereby a free edge of the second foldover (25) is facing the upper edge (18) and/or the lower edge (19), and only the second foldover (25) and the support part (15) are joined together by seams (23).