A compression bandage for placing on the human or animal body, includes a planar sheet material with a longitudinal direction and a transverse direction, and two transverse edges lying opposite each other in the longitudinal direction, and two longitudinal edges lying opposite each other in the transverse direction, wherein the sheet material is made of a fabric with a warp and a weft system of threads, wherein at least one of the thread systems includes elastic threads, wherein the thread density in the warp and/or weft system of threads is varied in the longitudinal direction of the bandage such that at least one section of the bandage in the longitudinal direction has a warp and/or weft thread density different than an adjacent section.