A crashbox is provided for connecting a bumper carrier and a longitudinal beam in a frame structure of a motor vehicle. The crashbox has a section that is compressible in a longitudinal direction and a first fixing element for attachment to the longitudinal beam and a second fixing element for attachment to the bumper carrier at opposite ends of the section. The first fixing element is in the form of a spigot member that is insertible into a cavity in the longitudinal beam and a support strut extends between two rigid side flanks of the spigot member through an internal cavity of the spigot member.