Safety device for a vehicle, and vehicle

A safety device for a vehicle, in particular a motor vehicle, including a door that is movably situated at a body of the vehicle, a crash bolt that protrudes laterally from the body at a retaining section, in the direction of the door, and a recess that is provided at the door and designed to partly accommodate the crash bolt. It is provided that the crash bolt is fastened to the body, and a crash element that extends at least essentially over the length of the door is situated at the door, the crash element being designed to be supported, at a first end thereof having the recess, on the retaining section of the body in the event of a side collision.