The invention relates to a damping connection type wind damping anti-galloping device for multi-split conductors. The anti-galloping device comprises wire clamps, an external frame, a damping connector, an internal frame and wind damping fins, and is characterized in that the wire clamps, the external frame, the damping connector, the internal frame and the wind damping fins are connected sequentially. The anti-galloping device can be used to prevent multi-split transmission lines from galloping. By designing and improving a common multi-split spacer, the characteristics of the flow field between multi-split conductors are effectively changed, wire galloping energy is absorbed, the galloping rate of transmission lines is reduced, and the safety and reliability of lines are improved.