An elastic knee joint bandage is in tubular form with an elastic profile insert encircling the knee cap in an opening. The areas of the profile insert adjacent to the poles of the knee cap are connected by a flexible, unstretchable tension member placed around the knee cap in a curve in the profile insert on the side of the fibula, so that when the distance between these areas is increased by flexing the knee joint, the distance of the curve from the line joining the poles of the knee cap is reduced, and the edge of the opening of the profiled insert in question on the adjacent side of the knee cap presses it medially with a shifting and centering effect.