A thrust reverser for a nacelle of an aircraft turbojet engine comprising at least: - a thrust reverser cowl movable in translation along a direction substantially parallel to a longitudinal axis of the nacelle, between a direct jet position and a reverse jet position, the cowl being associated to a locking means allowing to immobilize the cowl in its direct jet position, - a variable-section outlet nozzle which is arranged in the downstream extension of said cowl and which is movable between at least one reduced ejection section position, an increased ejection section position and an intermediate neutral position, and - at least one actuator which comprises a body mounted on a fixed structure of the thrust reverser and an actuating rod, said rod being adapted to drive in displacement the variable nozzle and the movable cowl, characterized in that the thrust reverser is equipped with an elastic coupler including: - a body which is secured to the thrust reverser cowl, and - elastic return and stop means which are carried by the body of the coupler and which cooperate with the actuating rod of the actuator in order to elastically return the nozzle in its neutral position, said return means being calibrated so that, when the cowl is unlocked, the return and stop means oppose the relative displacement of the actuating rod relative to the cowl in order to enable the driving in displacement of the set constituted by the cowl and the nozzle, and when the cowl is locked, the actuator drives the actuating rod against the return and stop means in order to enable the driving in displacement of the nozzle. - a thrust reverser cowl movable in translation along a direction substantially parallel to a longitudinal axis of the nacelle, between a direct jet position and a reverse jet position, the cowl being associated to a locking means allowing to immobilize the cowl in its direct jet position, - a variable-section outlet nozzle which is arranged in the downstream extension of said cowl and which is movable between at least one reduced ejection section position, an increased ejection section position and an intermediate neutral position, and - at least one actuator which comprises a body mounted on a fixed structure of the thrust reverser and an actuating rod, said rod being adapted to drive in displacement the variable nozzle and the movable cowl, characterized in that the thrust reverser is equipped with an elastic coupler including: - a body which is secured to the thrust reverser cowl, and - elastic return and stop means which are carried by the body of the coupler and which cooperate with the actuating rod of the actuator in order to elastically return the nozzle in its neutral position, said return means being calibrated so that, when the cowl is unlocked, the return and stop means oppose the relative displacement of the actuating rod relative to the cowl in order to enable the driving in displacement of the set constituted by the cowl and the nozzle, and when the cowl is locked, the actuator drives the actuating rod against the return and stop means in order to enable the driving in displacement of the nozzle. - a body which is secured to the thrust reverser cowl, and - elastic return and stop means which are carried by the body of the coupler and which cooperate with the actuating rod of the actuator in order to elastically return the nozzle in its neutral position, said return means being calibrated so that, when the cowl is unlocked, the return and stop means oppose the relative displacement of the actuating rod relative to the cowl in order to enable the driving in displacement of the set constituted by the cowl and the nozzle, and when the cowl is locked, the actuator drives the actuating rod against the return and stop means in order to enable the driving in displacement of the nozzle.