A thrust reverser for a turbojet engine includes a telescopic linear actuator for a moving cowl and a nozzle-forming end part. The telescopic linear actuator has a base attached to a fixed frame, acting as a housing for a first rod prevented from rotating but able to be translationally driven by a first drive shaft connected to a rotational-driver. The first rod is attached by one end to the moving cowl and supports a second rod, which is attached by one end to the nozzle-forming end part that is to be moved. The second rod is prevented from rotating and translationally driven by a second drive shaft passing through the base and connected to a rotational-driver. In particular, the rotational-driver of the rods includes a motor to drive an input shaft of a differential having two output shafts.