Abstract: A tubular base body (1), made from an elastic textile material, has, in its central zone (II), a greater elastic stretchability than in the two adjacent rim zones (I and III). A stabilization zone (4) inclined by 15.degree. to 45.degree. relative to the main axis (A) is fitted on each flank, so that, in a front view, the two stabilization zones coverge in the shape of a V below the knee.The upper section (I) of the base body preferably has a considerably greater length (H) than the lower section (h), and this results in excellent resistance to sliding, in interaction with the holding strips (2,3) provided in the rim zone and with the different stretchability of the three zones mentioned.The knee bandage which can be used both for an injured knee and for a healthy knee is deliberately designed to fulfil the three functions of stabilization, guiding and warming of the knee region.