Abstract: A bumper assembly for a motor vehicle is disclosed which can be fastened via at least one supporting element and, by means of a screw connection, on a part fixed to the vehicle. A foam energy absorber is provided on which the at least one supporting element is mounted. The supporting element, which reaches virtually over the entire height of the energy absorber, is designed approximately in the form of an umbrella. The umbrella edge, which terminates flatly, bears on the part fixed to the vehicle and, at a distance from the umbrella edge on the underside of the supporting element, supporting webs are provided which are likewise supported on the part fixed to the vehicle.