A suspension for a motor vehicle exhaust pipe, the suspension comprising an upper strength member 3 suitable for securing to the body 5 of the vehicle, and a lower strength member 4 suitable for securing to an exhaust pipe 6, the two strength members being interconnected by a resilient system. Such a suspension is characterized in that said resilient system comprises two crossed resilient loops 1, 2 each incorporating a ring B of material having a high modulus of elasticity that is coated in rubber C, the loops 1, 2 being fixed to each of the strength members 3, 4 at two diametrically-opposite locations of their respective circumferences. The invention also relates to an assembly of such a suspension, the vehicle body, and the exhaust pipe.