The present invention relates to a device for applying graduated pressure to an underlying surface. An exemplary device is a graduated compression device or a graduated pressure bandage, that is able to apply graduated pressure to a limb, with higher pressure being applied at one end of the device, e.g. near the ankle in use, and gradually applying less pressure at the other end of the device, e.g. such that the lowest pressure is applied to the end of the stocking closest to the thigh in use.