The invention provides an anti-galloping apparatus for a single-circuit power transmission line. The power transmission line comprises a vertically arranged tower body, a tower head transversely arranged at the upper end of the tower body, and a power transmission wire arranged on the tower head; the anti-galloping apparatus comprises a wire anti-galloping mechanism connected with the power transmission wire, an adjusting mechanism arranged on the ground, and a composite insulator module between the wire anti-galloping mechanism and the adjusting mechanism; the wire anti-galloping mechanism comprises regular polygonal frameworks and fixed cable clamps on the peaks of the frameworks; and the adjusting mechanism comprises an unreeling wheel with a steel wire rope, and a foundation arranged at the lower end of the unreelingwheel and a controller connected with the unreelingwheel. The anti-galloping apparatus provided by the invention can satisfy the power grid anti-galloping requirement of wire circuits with relatively large span lengths, and the anti-galloping apparatus has the advantages of good anti-galloping performance, low production cost and convenient installation.