A low profile stabiliser device for attaching to the under surface of a watercraft, typically a surfboard or a boat, including in combination a plurality of stubby keel members joined by one or more transverse members spaced from the bottom surface of the watercraft, the keel members comprising a vertical foremost keel member positioned along the longitudinal centerline of the watercraft trailing keel members on either side of the foremost keel member, the trailing keel members leaning at an angle with respect to the foremost keel member and trailing in staggered formation outwardly towards the rear and sides of the watercraft, the staggered formation adapted to substantially reduce or remove interference to the sideways release of water from each keel member by an adjacent keel member, wherein in operation, one or more of the leaning keel members can be made to approach a vertical position as the watercraft heels over in a turning maneuver.