A compression stocking 10 is divided into at least two parts. A first part 12 has a foot portion 16, an ankle portion 18 and a first overlap portion 24 which exerts a reduced pressure compared to a pressure exerted by the ankle portion. A second part 30 is tubular and has a second overlap portion 32 and a leg portion 34. In use the first overlap portion is placed within the second overlap portion, the compression stocking providing a pressure which reduces progressively up the leg. An outer surface of the first part and an inner surface of the second part together provide a low coefficient of friction, using smooth, silky or shiny material, so that passage of the second part over the foot and ankle is facilitated by the first part. A method of putting on a compression stocking is provided comprising putting the first part on and then drawing the second part over the first part and pulling it up the leg to bring the second overlap portion into position around the first overlap portion.
