The invention discloses an axisymmetric-structure high-power coaxial over-mode surface wave oscillator which uses electromagnetic wave radiation of the terahertz wave band generated through wave-beam interaction as the basic working principle, according to high-current relativity theory electron beams and an over-mode coaxial slow wave structure, strong wave-beam interaction happens, and high-power terahertz waves are generated. The coaxial over-mode surface wave oscillator comprises a non-foil diode, the over-mode coaxial slow wave structure, a transitional wave guiding part and an output wave guiding part of a coaxial structure. The working mode of the over-mode surface wave oscillator in a wave-beam interaction zone is a TM01 mode, by mode converting of the transitional wave guiding part, transmission is carried out at an output wave guiding end of the surface wave oscillator in a TEM mode, the 0.14THz over-mode surface wave oscillator is designed through the structure, and the peak power of an output port can reach 115MW. The over-mode surface wave oscillator is suitable for generating the high-power electromagnetic waves in the terahertz wave band.