A rear suspension (10) for an aircraft engine assembly comprises a structure comprising two three-point shackles (12, 12′) and one two-point shackle (14). One of the hinge pins in waiting on the two-point shackle (14), preferably the hinge pin (26) fixed to the engine yoke joint, is mounted with clearance and with a damping ring acting as a spring to prevent vibrations of the engines as long as the hinge pin (26) is not engaged. Each of the suspension connecting pins (10) is a ball joint connection, the beam (16) of the suspension (10) being provided with five aligned orifices (24, 24a, 28, 24′, 24a′).