The invention discloses a quakeproof structure of a conductor, and in particular relates to a connecting structure for a quakeproof hammer of an overhead transmission conductor. The connecting structure for the quakeproof hammer of the overhead transmission conductor has the structure as follows: a first conductor and a second conductor are parallel in the horizontal direction, a first quakeproof hammer and a second quakeproof hammer are mounted on the first conductor, the cable clamp plate of the first quakeproof hammer is connected to a first damping clamp plate through a first damping spring, a third quakeproof hammer is mounted on the second conductor, the cable clamp plate of the third quakeproof hammer is connected to a second damping clamp plate through a second damping spring, and a force transmission spring is formed between the cable clamp plate of the second quakeproof hammer and the cable clamp plate of the third quakeproof hammer. The conductor vibration preventing effect is good, the service life is long, the impact to the conductor from the addition vibration bending stress of the quakeproof device can be prevented with the effect of greatly reducing the vibration of the conductor, the service life of the overhead transmission conductor is effectively improved and the maintenance is convenient.