The invention discloses a trolley used for transverse moving of a box girder and a box girder construction method using the trolley. According to the key points of the technical scheme, the trolley comprises a trolley plate, the trolley plate comprises a supporting plate and connecting plates located on one side of the supporting plate, and the upper end face of the supporting plate is located below the box girder; a first sliding groove is formed in the side wall of the supporting plate, a second sliding groove perpendicular to the first sliding groove is upwards formed in the end, located onthe first sliding groove, of the supporting plate in a communicating mode, and a third sliding groove parallel to the first sliding groove is formed in the position, located on the second sliding groove and away from the first sliding groove, of the bottom of the supporting plate in a communicating mode. A fourth sliding groove perpendicular to the third sliding groove is formed in the end of thethird sliding groove in a communicating mode, the fourth sliding groove and the first sliding groove are formed in a communicating mode, and the connecting plates are provided with sliding blocks matched with the first sliding groove, the second sliding groove, the third sliding groove and the fourth sliding groove correspondingly. A plurality of grooves are formed in the lower end faces of the connecting plates, a plurality of rolling columns are arranged in the grooves, and a plurality of jacks are arranged on the lower end face of the supporting plate. A plurality of stabilizing pieces arearranged on the lower portion of the supporting plate. The purpose that the labor intensity of operators is relieved is achieved.