In order to solve the problem of conductor galloping on ultra-high-voltage transmission lines, a kind of phononic crystal conductor which consists of a conductor, spacers, and spring oscillators is proposed. Based on the vibration differential equation of the conductor and Bloch theory, the transfer matrix method is established to calculate the vibration band structure of the phononic crystal conductor. The calculated results show that the phononic crystal conductor exhibits local resonance band gap characteristics in the frequency range of conductor galloping. In order to verify the band gap characteristics of the phononic crystals conductor, using a four-divided conductor as an example, the finite element method is employed to calculate the amplitude and frequency responses of the finite periodic phononic crystal conductor. The results show that remarkable vibration attenuation of the conductor occurs in the frequency range of band gaps, which may provide a new idea for vibration control of conductor galloping on transmission lines.