A cylindrical bandage is held in place without using binding means such as strings tied to an upper limb. Additionally, the cylindrical bandage for a lower limb or upper limb fits the shapes and dimensions of a body part and stays on the body part and thus allows great increase in venous return. The cylindrical bandage includes a tubular knit being of a length corresponding to a length of an arm or a leg and a gutter-shaped knit extending from a lengthwise first end of the tubular knit. This gutter-shaped knit has smaller circumferential length than the first end of the tubular knit and has a cut-out section with a horseshoe or V shape.