A method for punching bodywork components, in particular a skin in order to install parking-assistance sensors or headlight washers therein. The invention also relates to a punching machine having an anvil for receiving the bodywork component, a punch, and movement means for moving the punch, initially over a first stroke in order to bring it into a utilization position, and then over a second stroke in order to pierce said component. The movement of the punch over the second stroke takes place at a travel speed not exceeding 10 mm/s and less than the travel speed of the punch over the first stroke. The means for moving the punch over the second stroke comprise a punching actuator coupled to a force-multiplication mechanism. Finally, the invention relates to the use of a machine and to a bodywork component obtained by performing the method.