The invention relates to a compression bandage for placing on the human or animal body, comprising a planar sheet material (11) with a longitudinal direction (L) and a transverse direction (Q), and two transverse edges (11a, 11b) lying opposite each other in the longitudinal direction (L), and two longitudinal edges lying opposite each other in the transverse direction (Q), wherein the sheet material (11) is made of a fabric with a warp (20) and a weft (30) system of threads, wherein at least one of the thread systems (20, 30) comprises elastic threads, wherein the thread density in the warp and/or weft system of threads (20, 30) is varied in the longitudinal direction (L) of the bandage (10), such that at least one portion (A, B, C) of the bandage (10) in the longitudinal direction (L) has a warp and/or weft thread density different than an adjacent portion.