The invention relates to a system for fastening at least one component on a carrier component of a motor vehicle, comprising a housing part with a receptacle and a pin which is insertable into the receptacle, wherein the housing part has a fastening portion with which said housing part is fastenable on an opening in the carrier component, and wherein at least one component to be fastened on the carrier component can be held using the system, wherein the receptacle in the housing part contains two elastic spring arms which, when the pin is inserted into the receptacle, latch against latching projections of the free end of the pin, wherein the spring arms each have a force transmission surface, and wherein the latching projections of the pin each have a force transmission surface, wherein, when the pin is inserted into the housing part, the force transmission surfaces of the latching projections in each case lie opposite a force transmission surface of one of the spring arms, wherein the force transmission surfaces each lie in surfaces which are oblique or curved in relation to the insertion direction of the pin into the receptacle, and therefore a tensile force acting on the pin from the receptacle produces a force of the spring arms, the force acting radially inwards with respect to the pin.