In an arrangement for fastening an energy absorbing component to a rail or road vehicle, the component can be fixed to the vehicle by an intermediate element connected to the latter to absorb impact energy acting on the vehicle along its longitudinal axis (x). The intermediate element comprises a receiving pipe (14) secured to the vehicle with a component support (38, 40) for fastening the component which is frictionally held in the receiving pipe and can slide therein along the longitudinal axis of the vehicle when the frictional forces have been overcome. The component support (38, 40) is provided with bores (64) and the guiding pipe (14) is provided with undercut grooves (32, 34, 36) which extend in the direction of the longitudinal axis of the vehicle. Screws (72) extend through the bores (64) and form a clamping connection when they are screwed with threaded strips (74) mounted in the grooves. The arrangement is particularly suitable for fastening a wagon coupling, a buffer or an anticlimber to a rail or road vehicle.