A large-span multi-curvature thin shell reinforced concrete structure construction method specifically includes the steps of making drawings, manufacturing and building glass fiber reinforced plastics, cleaning a construction site, carrying out paying-off positioning according to an established curvature and contour line data, setting up supporting frames, setting up thin shell structured supporting frames, manufacturing thin shell structured formworks, binding shell reinforcing steel bars, pouring concrete, dismounting formwork supporting frames and the like. According to the construction method, a contour line mode is adopted to carry out disassembling on the formworks by being coordinated with a control line, so rapid erection is achieved and the construction time is saved. The portion, close to the bottom of a shell is made of dual-side glass fiber reinforced plastic formworks, and formwork sealing is carried out by using steel wire gauze arranged at intervals, so vertical bearing capacity is guaranteed, the problem in large-gradient concrete construction is solved, and the slanting thrust of the structure on frame bodies is removed effectively. In addition, concrete subsection symmetrical pouring is adopted, so the stress of a supporting system can be balanced, and the problem of difficult construction caused by big shell size and steep gradient can be solved.