The present invention discloses a box cover device extended and retracted in a transmission manner and a control method thereof. The device comprises a transmission gear, a roller shutter shaft gear and a clutch gear. The transmission gear and the roller shutter shaft gear are arranged oppositely, and a clutching space is reserved between the transmission gear and the roller shutter shaft gear. A middle shaft is arranged at the center line of the clutching space vertical to the center connection line of the transmission gear and the roller shutter shaft gear. The box cover device extended and retracted in a clutch type transmission manner of the present invention is convenient and quick to operate and has high working efficiency