Abstract: A crash structure for a vehicle, including a bumper crossmember of which the end portions are each connected to a corresponding longitudinal member via a crash box. End regions of the end portions each project in the vehicle transverse direction beyond the corresponding longitudinal member. In each case a first supporting element which protrudes in the direction of a corresponding wheelhouse is arranged at the end regions and, in an accident situation with slight overlapping of the other party in the accident, impinges on the corresponding longitudinal member. In each case a second supporting element is arranged at the end regions of the end portions and, in the accident situation with slight overlapping of the other party in the accident, impinges on a corresponding connecting region between the crash box and the longitudinal member.