A compression bandage for treating lymphatic edema. The compression bandage includes a bandage body made of a resilient material to be wrapped around the body extremity, with a first group of fastening straps. The fastening straps of the first group are arranged on an end section of the bandage body, are separated from one another by notches in the bandage body, and, in each case, have first fastening elements, by which the respective fastening strap of the first group can be fastened to the outside of the bandage body when the body bandage is wrapped around the body extremity. In order to prevent the swollen body tissue from being able to pass through, between the notches in the first group of fastening straps, a second group of fastening straps is provided, which is fastened to the outside of the bandage body and whose fastening straps are arranged so that they cover the notches when the compression bandage is applied on a body extremity.