The energy absorber system is adapted to a motor vehicle having side rails. The system comprises a top absorber beam positioning in front of the side rails of the motor vehicle, a bottom absorber beam for being positioned beneath the top absorber beam, and at least two uprights providing a rigid connection between the top and bottom beams. The system also includes a rigid cross-member extending between the side rails and being secured directly to the side rails, the top beam being secured to bear against the cross-member.