The invention provides a fastener plug-in type curved surface metal roof which comprises a base frame, primary purline supporting components, lengthening connecting fasteners, primary purlines, primary and secondary purline through connection components, secondary purlines, secondary purline panel through connection components, roof panel components and sealing components. The base frame is fixedly mounted on a civil engineering foundation roof face. The primary purlines are fixedly connected with the base frame through the primary purline supporting components. The secondary purlines are connected with the primary purlines through the primary and secondary purline through connection components. The secondary purline panel through connection components are connected with the secondary purlines. The roof panel components are connected with the secondary purline panel through connection components, two adjacent roof panel components are connected in an inserting mode, and the sealing components are arranged in the clearances of the roof panel components. A construction method mainly comprises the step that the base frame, the primary purline supporting components, the primary purlines, the primary and secondary purline through connection components, the secondary purlines, the secondary purline panel through connection components, the roof panel components and the sealing components are mounted in sequence. According to the fastener plug-in type curved surface metal roof and the construction method, steel and manpower cost can be effectively saved, the construction period can be shortened, and the new construction method of the curved surface metal roof is provided.