A front shock-absorber assembly for a motor vehicle includes, at each of the right-hand and left-hand sides thereof, at least a lower longitudinal structural element (6, 7) and an upper longitudinal structural element (4, 5). The shock-absorber assembly includes a high-energy impact absorption structure (12) which includes an elongate right-hand plate (18) and left-hand plate (19), each plate being fixedly joined to a lower longitudinal element and an upper longitudinal element located at the same side of the vehicle; and a deformable right-hand element (30) and left-hand element (31) for absorbing medium-energy impacts, a rear surface of a deformable element moving into abutment against the majority of a front surface of an associated plate.