The invention discloses an overhead conductor damping method based on a fiber reinforced composite material quakeproof hammer. A cable clamp manufactured by applying the composite material integratedmolding processing technology, a connecting plate and an elastic rod are sequentially connected, and a wire nail is arranged on a wire; the wire nail vibrates along with the wire and drives the elastic rod connected with the connecting plate to vibrate; two hammerheads at the two ends of the elastic rod vibrate up and down, with a reinforcing point of the connecting rod for the elastic rod as theboundary, the two hammerheads are formed into two independent quakeproof systems, and the elastic rod connected with the hammerheads is repeatedly bent under the effect of alternating bending moment when the hammerheads vibrates up and down; in the repeated bending process, long-chain molecules inside the elastic rod generate friction when the elastic rod vibrates so that the structural damping ofthe elastic rod absorbs vibration energy, and the amplitude of the wire is decreased; by adopting the fiber reinforced composite material, the problems that an existing vibration hammer is weak in vibration energy absorption capability, likely to be oxidized and poor in corrosion resistance are solved, eddy is eliminated, and the circuit energy consumption is lowered.