The invention discloses an integral swiveling structure for a double-body steel box girder and a construction method thereof. A middle cross beam is integrally connected with the double-body steel box girder and swiveled in place at a time by using a single frame type swiveling pier, a temporary tower cable-stayed system and a temporary support, so that affect on the existing road traffic is reduced. In order to meet the stress requirement of the middle cross beam, the temporary tower using the cable-stayed system is arranged on the top surface of the middle cross beam, and a pair of stay cables are arranged in the transverse direction of bridge; during a swiveling process, with the arrangement of the temporary support at the center of the cross beam instead of utilization of reinforcement design of the cross beam structure, the stress requirement of the frame type swiveling pier is met, so that on the one hand, cost generated by increase of the structural size is saved, and on the other hand, space is saved.