Abstract: A brassiere with floating cups which are independently positionable in relation to the brassiere body. Depending on the point of attachment to the brassiere, the floating brassiere cups control the support, position, cleavage, and separation of individual breasts. The floating cups are partially or fully detached from the brassiere at various selectable locations. It is not just rotational motion, but also lifting the breasts upward and toward the center of the chest. The brassiere has floating cups that apply rotational pressure to move the breasts closer together if rotated in one direction, and will move the breasts apart if rotated in the other direction. The cup positioning mechanism can be implemented by an adjustable clip, by integral hook and loop strips, buttons, ornamental clasps, straps, string ties, or other suitable devices.