The invention provides an annular anti-galloping device, and the anti-galloping device comprises a regularly polygonal frame, wherein each intersection is provided with a connection wire clamp. The connection wire clamps and the regularly polygonal frame are located on the same plane, and the connection wire clamps are arranged along the symmetric axis of the regularly polygonal frame. The improvement lies in that the interior of the regularly polygonal frame is provided with regularly polygonal energy-consuming mechanisms, wherein the number of the regularly polygonal energy-consuming mechanisms is the same as the number of sides, and the intersections of all sides of the regularly polygonal energy-consuming mechanisms are correspondingly connected with the connection wire clamps. Compared with the prior art, the anti-oscillation device can effectively reduce the possibility of conductor galloping of a power transmission line based on the energy consumption principle, and improves the safety and reliability of the power transmission line.