The invention discloses a rotary automatic door which comprises a fixed door leaf, a rotary door leaf, a driving device, a detecting device and a control device, wherein the driving device is used for driving the rotary door leaf to rotate, the detecting device is used for detecting the relative position of the rotary door leaf to the fixed door leaf, and the control device is connected with the detecting device and used for controlling the driving device to speed up, slow down or keep a uniform speed in accordance with the position of the front end of the rotary door leaf. The invention further discloses an operation method of the rotary automatic door. According to the rotary automatic door and the operation method of the rotary automatic door, the speed of the rotary door leaf of the rotary automatic door through a hazardous area is actively reduced, so that people in the hazardous area have enough time to move forward or backward, thereby greatly reducing the probability that the people are clamped by the rotary door leaf. When pedestrians or objects are detected by any danger sensor, the rotary door leaf can stop within a short braking distance, thereby reducing the impact force on the pedestrians or the objects, hurts to the pedestrians are minimized, and the pedestrians or the objects are guaranteed to exit in time.