A jet engine nacelle includes an air intake section, a middle section, and an aft section. The aft section is formed from two half-shells rotatably mounted such that they can each be deployed between a working position and a maintenance position under the action of a jack and a telescopic connecting rod each respectively having a first end fastened on the jet engine and a second end fastened in the corresponding half-shell. In particular, the nacelle includes at least one damping member arranged between each telescopic connecting rod and the corresponding half-shell, and the damping member is designed so as to be in a prestressed state when the corresponding half-shell is in the working position and can reduce vibration in the half-shell.