The invention belongs to the technical field of high-power microwaves, and discloses a three-axis relativistic klystron amplifier capable of suppressing a non-rotational symmetric clutter mode. The amplifier comprises a cathode seat 201, a cathode 202, an anode outer cylinder 203, an inner conductor 204, an injection cavity 205, a first reflection cavity 206, a first clustering cavity 207, a second reflection cavity 208, a second clustering cavity 209, a third reflection cavity 210, an extraction cavity 211, a conical waveguide 212, a feedback ring 213, an electron beam collector 214, a support rod 215, a microwave output port 216, a solenoid magnetic field 217 and an injection waveguide 218. The whole structure is in rotational symmetry relative to the central axis. Through the reasonabledesign of an electromagnetic structure of the amplifier, the defects that a lateral dual-port injection structure in an existing three-axis relativistic klystron amplifier is complex, non-rotationalsymmetric mode self-excited oscillation is difficult to completely inhibit from a physical mechanism and the like are overcome, and the three-axis relativistic klystron amplifier has good frequency-locking and phase-locking characteristics; the amplifier has important reference significance for designing a similar klystron amplifier required by high-power microwave space coherent power synthesis.