A yielding arrangement of a bumper at the body of a motor vehicle in which the bumper is connected with a longitudinal bearer by way of impact shock absorbers under interposition of a deformation member. For purposes of obtaining a high energy absorption with a comparatively large deformation displacement, the deformation member is essentially formed by several roll sheet metal members which extend substantially parallel to the impact shock absorber along the inner walls of a housing secured at the longitudinal bearer. The roll members are connected at their ends opposite the bumper with the housing and at their other ends are secured at the impact shock absorber.