Special-shaped buildings have become a popular trend nowadays, and the strangeness of architectural shapes is often accompanied by many new construction problems. Shanghai Planetarium adopts light upright locking roof and various forms of curtain wall system. By sorting out the difficulties and experiences in the construction of curtain wall and roof of the project, this paper explores the special management content of the supervision for the construction of special-shaped curtain wall and roof, and then summarizes the key points of the supervision's control in the construction of special-shaped curtain wall and roof, so as to provide reference and experience for the similar project construction and supervision in the future.