The invention provides a combined anti-galloping device, and the anti-galloping device comprises a regularly polygonal frame, wherein the intersections of all sides are provided with connection wire clamps. 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 provide with a star-shaped energy consumption mechanism which is corresponding to the intersections of all sides; the sharp corners of the star-shaped energy consumption mechanism are correspondingly connected with the connection wire clamps in a one-to-one manner; and the bottom of the frame is vertically provided with a detuning pendulum along a vertical line. 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, and improves the safety and reliability of the power transmission line.