The invention relates to a circular-waveguide slow-wave structure for angularly loading spiral lines, which belongs to the technical field of vacuum electrons and comprises a circular waveguide, N identical spiral lines and two circular-ring medium sheets, wherein the radius of the circular waveguide is R1, the outer radii of the two circular-ring medium sheets are R1, and the inner radii of the two circular-ring medium sheets are R5; the two circular-ring medium sheets are respectively fixed on the two end surfaces of the circular waveguide, and the N identical spiral lines are all connected between the two circular-ring medium sheets, so that the N identical spiral lines are angularly and uniformly distributed inside the circular waveguide; and the hollow parts of the two circular-ring medium sheets and a space part surrounded by all the spiral lines together form an electron-beam passage. The circular-waveguide slow-wave structure can work at short millimeter-wave and terahertz-wave bands, the coupling impedance can be effectively improved, and a dispersion curve is more flat, so that a traveling-wave tube adopting the novel slow-wave structure has higher gain and interaction efficiency, and the larger output power is obtained; and in addition, the phase velocity can be greatly decreased in the invention, accordingly a lower working voltage can be adopted, and the circular-waveguide slow-wave structure is favorable to the miniaturization of devices.