The invention discloses a bridge flutter and vortex vibration integrated control device and a control method thereof. A bridge girder comprises two polygonal box girders which are symmetrical along the middle line and are provided with outer side tuyeres. The control device comprises a retractable and rotatable upper cover plate, a retractable and rotatable lower cover plate and power devices located in the box girders. The upper cover plate and the lower cover plate are mounted on the inner side of the opposite faces of a split-type box girder and can extend, retract and rotate relative to the polygonal box girders. The technical problem that flutter and vortex vibration cannot be controlled simultaneously as for a current existing split-type box girder structure is solved, adjusting canbe conducted through the retractable cover plates according to the characteristics of incoming flow wind, and the flutter stability and the vortex vibration performance of a long-span bridge are ensured simultaneously through adjusting.