Medical device for postoperative compression of breast skin following breast reconstruction surgery. The device comprises a female garment that supports the breast, and is characterised by the fact that each cup of the garment contains inflatable modules with defined pressure gradients that generate different compressive orthogonal vectors on the four quadrants of the breast, leaving the areola-nipple complex free. The inflatable tubular modules have, joined together, a shape that resembles a truncated cone with variable thickness that is minimum (equal to 0) in the area closest to the areola-nipple complex, and maximum in the area located furthest away from the areola-nipple complex. The inflatable modules can range from 2 to multiples of 2, and can be inflated separately through the valves. The medical device is made up of non-elastic tissue that prevents the cups from moving away from breast skin when air chambers are inflated, and it has two non-elastic tissue straps that cross on the spine and close like