An energy absorber device having a hollow body of generally conical shape. The hollow body is formed by at least two truncated or cylindrical segments, aligned with each other along their axes of extension and/or symmetry, with successive sections being of decreasing width. The various truncated or cylindrical segments are connected to each other by intermediate portions defining, with the aforementioned segments, recesses or steps. The hollow body can be crushed into itself by a return of the segments of smaller dimension into the adjacent segments of larger dimension, generally telescopically. The device is dimensioned such that the base segment has a height equal to X and the other segments of smaller width have a height corresponding to about 2X.