A tail assembly (10) for a rotorcraft (20), the tail assembly (10) comprising a first stabilizer (3) extending transversely on either side of an anteroposterior plane (P1), and a second stabilizer (4, 4'') extending in elevation. Two propellers (31, 41) positioned on either side of the anteroposterior plane (P1) provide the rotorcraft (20) with at least part of its yaw control and its propulsion. The axes of the two propellers (31, 41) are situated in a plane substantially parallel to the horizontal plane (P3) and they intersect at a position in the anteroposterior plane (P1) of the rotorcraft (20) that is located between the front end of the rotorcraft (20) and the propellers (31, 41). Using both propellers (31, 41) of the tail assembly (10) simultaneously makes it possible to provide the rotorcraft (20) with longitudinal thrust while conserving its transverse thrust for the anti-torque function, it being possible to control these two thrusts independently.