The invention discloses a double-reflecting surface antenna with a special shape guided wave dielectric rod feeding. The antenna includes a circular waveguide, a guided-wave dielectric rod, a taperedsecondary reflecting surface, a parabolic reflecting surface, and a metal ring, wherein the guided-wave dielectric rod is located between the tapered secondary reflecting surface and the circular waveguide, the guided-wave dielectric rod is inserted to the inner cavity of the circular waveguide, the guided-wave dielectric rod located in the inner cavity portion of the circular waveguide is dividedinto a plurality of coaxial circular tables, and the radius of the circular tables decreases progressively in a direction from the tapered secondary reflecting surface to the parabolic reflecting surface; the circular waveguide is located at the center of the main reflecting surface, the axis of the circular waveguide and the diameter of the antenna point to the same direction, and a microwave signal is introduced by the circular waveguide, sent to the tapered secondary reflecting surface by the guided-wave dielectric rod and reflected to the parabolic reflecting surface, and finally emittedby the parabolic reflecting surface in parallel. The invention effectively improves the reflection coefficient S11 of the double-reflecting surface antenna, is capable of effectively suppressing the cross polarization, reducing the ohmic loss, reducing the sidelobe level, and improving the radiation efficiency, and is symmetrical in structure, compact and simple, and easy to implement.