The invention provides a stretch-draw forming composite structure arch bridge and a building method thereof. The arch bridge comprises at least two lower strings (2), at least two upper strings (4), a set of flying shores (5), a set of web members (1) and a set of beams (3), wherein the lower strings (2) are straight and parallel to each other, the upper strings (4) upwards arch and are parallel to each other, the flying shores (5) are transversely connected between the two adjacent upper strings, the web members (1) are connected between the upper strings and the lower strings of the same sides, the beams (3) are connected between the two adjacent lower strings; a plane bridge floor system is jointly constituted by the lower strings and the beams, each lower string is formed by splicing a set of lower string pipes (2b) penetrating on a lower string steel cable (2a) in sequence, and the adjacent lower string pipes are connected through flange bolts; and each upper string is formed by welding upper string pipes (4a) in sequence, the bottoms of the two ends of the spliced upper string pipes are welded to the two ends of the spliced lower string pipes correspondingly, and the spliced lower string pipes and upper string pipes are grouted with micro-expansive mortar or concrete. According to the stretch-draw forming composite structure arch bridge and the building method thereof, the construction forming state and the operating loading state can be integrated into a whole in arch bridge building, and construction is rapid, easy and economic.