The invention relates to a thrust reversing device (20) that includes at least one mobile cowling (30) mounted in translation in a direction substantially parallel to a longitudinal axis of a nacelle, capable of moving alternatively from a closing position on which it enables the aerodynamic continuity of the nacelle into an opening position in which it opens a passage in the nacelle for the bypassed flow, wherein said mobile cowling (30) also includes as an extension at least one variable nozzle section (40) including at least one panel (41) mounted so as to be capable of rotation, the panel (41) being adapted for pivoting towards at least one position entailing a variation in the nozzle section (40) on the one hand, and pivoting towards a position in which it blocks a cold flow jet (13) formed between a fixed structure of a turbojet fairing (12 and the nacelle on the other hand, wherein the mobile cowling (30) and the panel (41) are associated with actuation means (50) capable of activating the respective translation and rotation movements thereof, characterized in that said actuation means (50) are connected to an upstream end of the panel (41) by a driving connection rod (61) capable of moving about anchoring points respectively on the corresponding panel (41) and the associated actuation means (50).