With the background of the Fujiang Bridge project, which is a prestressed concrete continuous rigidframe bridge, a construction method for one-time pouring of edge span linear section and closure section using a hanging basket is proposed for edge span linear section construction under complex terrain. The feasibility of the hanging basket method is analyzed using structural mechanics theory and MIDAS CIVIL finite element software, focusing on the main beam deflection, hanging basket structural safety, and internal forces of girder. The study shows that the one-time pouring of edge span linear section and closure section using a hanging basket has minor inpact on the mid-span side box girder internal forces and deflection after bridge completion, but has a certain influence on the vertical deformation of the edge span girder. Therefore, the pre-camber values of the box girder need to be adjusted timely during construction. Compared with traditional construction scheme, the maximum increase in the compressive stress on the worst section of the main beam after completion is 15%, which is within reasonable and controllable range. Considering the safety of the hanging basket, it can meet the safety requirements during construction by using optimization methods such as adding front and rear suspension rods. The results show that the one-time pouring of edge span linear section and closure section using a hanging basket is feasible, and this new construction method has been successfully applied in the construction of the Fujiang Bridge.