Stabilization apparatus (12) for a watercraft (10) having a hull (14), including at least one hydrofoil (20) with a leading edge (22) and a trailing edge (24), the edges defining a chord (26) extending therebetween, the at least one hydrofoil being mounted below an underside of the hull and arranged for rotation about an axis (30) that is generally perpendicular to the chord and directed towards the underside (28) of the hull, and control apparatus (40) that rotates the at least one hydrofoil about the axis in response to roll of the watercraft so as to stabilize the watercraft against the roll. Preferably the axis passes generally through the chord's center.