The invention discloses a glass rotary sheet conveying device and a conveying method thereof.The glass rotary sheet conveying device comprises a conveying roller way, a rotary sheet lifting component, a pneumatic component and a controller, and the conveying roller way comprises a transmission shaft, a plurality of transmission rollers, a first sensor, a second sensor and a third sensor; the conveying lifting rotary vane component comprises a first support, a second support, a linear guide rail, a servo motor, a fourth sensor, an air cylinder, a fisheye connector support and a rotating frame. The pneumatic component comprises a first air pipe, a second air pipe, a third air pipe and a five-port two-position electromagnetic valve; and the controller is respectively in telecommunication connection with the first sensor, the second sensor, the third sensor, the fourth sensor and the five-port two-position electromagnetic valve. Linkage control is achieved, glass conveying 90-degree rotation can be accurately achieved, and the process requirement of long edge and short edge exchange conveying of a deep processing production line is met.