The invention proposes a wing-stabilized high-velocity projectile (1) which has a tail plane with outward-pointing wings (4) on its end section. A time- and/or pressure-dependent removable and mainly cone-shaped body (7) is placed on the wings (4) which are fixed to the projectile body (2). Thus cone stabilization takes place during the initial flight phase, whereas in a subsequent flight phase and after jettisoning the cone-shaped body (7), wing stabilization takes place.