The invention provides a star-shaped anti-galloping device, and the anti-galloping device comprises a regularly polygonal frame, wherein the intersections among all sides are respectively 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 of the invention lies in that the interior of the regularly polygonal frame is provided with a star-shaped energy consumption mechanism which is corresponding to the intersections of all sides, and the sharp corners of the star-shaped energy consumption mechanism are corresponding connected with the connection wire clamp in a one-to-one manner. Compared with the prior art, the anti-galloping device provided by the invention can effectively reduce the occurrence possibility of conductor galloping of a power transmission line based on the energy consumption principle, and improves the safety and reliability of the transmission line.