An arrangement having a module for installation in a bumper of a motor vehicle and having a retaining part for attaching the module to the bumper. The retaining part, in this context, is fixedly attached on the interior side of the bumper blade, so that the module can be inserted from the interior side. Provision is made in the bumper for a corresponding bore, through which the head piece of the module can be plugged in until the surface is roughly flush with the exterior surface of the bumper. As the module, an ultrasonic sensor is preferably proposed, which can be used for measuring distance in a motor vehicle. Since only the head piece of the module is visible from the outside but not its attachment parts, the resulting appearance is particularly advantageous since it is not disruptive from a design point of view.