The invention discloses a double-spiral-arm type luneberg lens antenna, which comprises a base, a lens reflection face and a luneberg lens, wherein a supporting shaft is arranged on the base, the lens reflection face is arranged at the upper end of the supporting shaft, the luneberg lens is arranged on the lens reflection face, a fluted disk is coaxially fixed to the position of the supporting shaft of the base, a plurality of pointing location devices are arranged on the supporting shaft of the base, each pointing location device comprises a horizontal supporting arm which is coaxially arranged on the supporting shaft, a first rotary motor is fixed to each horizontal supporting arm, a gear arranged on an output shaft of each first rotary motor is meshed with the fluted disk, an arc spiral arm is pivoted to each horizontal supporting arm, the spiral arm upwards extends in an arc mode along an outer arc of the luneberg lens, a pivot shaft of each spiral arm and the lens reflection face are arranged on the same horizontal plane, a second rotary motor is arranged on the pivot shaft of each spiral arm, a feedback source is arranged at the top end of each spiral arm, the feedback sources point at the circle center of the luneberg lens, and orientation and angle adjustment of the feedback source devices are achieved through rotation of the double supporting arms. The antenna is simple in structure, and feedback source location is stable and reliable.