The invention relates to a thrust reverser assembly for a turbojet engine, comprising a stationary structure having a main axis; a shroud, movable and capable of translational movement along the main axis between an attached position in which the shroud is attached to the stationary structure, and a spaced position in which the shroud is spaced from the stationary structure; at least one latch capable of holding the stationary structure and the shroud in the attached position; at least one actuator mounted between the stationary structure and the shroud and configured to move the shroud along the main axis between the attached position and the spaced position; and a seal configured to provide a seal between the stationary structure and the shroud in the attached position, wherein the seal has a tapered cross section.