A compression bandage with a tubular, flexible flat material for surrounding a bodily member and with a number of elastic compression threads, whereby this flat material constitutes a main body that can be stretched in the circumferential direction. A number of elastic compression threads run in the plane of the flat material in the direction of the circumference, and create the compressive effect when the compression bandage is applied. At least parts of at least some of the compression threads protrude outside the flat material, allowing the compressive effect to be adjusted by varying the length of each of the protruding external portions.
