The invention provides a pneumatic transporter with high accuracy steering control and a steering control method thereof to solve the problems that a moving trolley is low in steering accuracy, and difficult to be applied to high precision, inflammable and explosive situations due to electromagnetic radiation of motor and electric spark. The pneumatic transporter with high accuracy steering control comprises a loading table, a frame, wheels, a lift cylinder assembly, a lift push plate, a rear drive cylinder support seat, a rear drive cylinder, a pneumatic spiral steering drive, a front wheel shaft, a front ratchet disk, a front ratchet gear, a front drive gear, a front drive rack, a rear drive rack, a rear drive gear, a rear ratchet disk, a rear wheel shaft, a rear ratchet gear, a front drive cylinder and a front drive cylinder support seat. Piezoelectric ultrasonic vibration control screw pair self-locking is used to unlock, the movement and braking of a flange hollow screw rod is achieved with the combination of compressed air, and the alternately air control of the lift cylinder and the pneumatic screw steering drive is achieved, so as to achieve the precise steering of the transporter.