A mounting device for an aircraft engine includes a rigid structure and a device for mounting the engine on the rigid structure, the mounting device including a thrust load recovery device with two lateral thrust load recovery rods each having a rear end mounted on a crossbar of the recovery device with a first mechanical connection. At the rear end of each of the two rods, there is also provided a second mechanical connection with play between the rear end and a support fitting integral with the rigid structure. The first mechanical connection is implemented using a pin provided on the crossbar, passing through an orifice provided in the rear end of the rod.