The present invention relates to a rotor-disc connecting member for a glass curtain wall or roofing, comprising: a support abutment, one end connecting with a truss frame, and the other end connecting with an interconnecting part; and the interconnecting part connecting with one end of at least two support arms. The support abutment connects with the interconnecting part via a ball pivot, and the support arms hinge with the interconnecting part. The present invention is a simple structure and conveniently assembled during the construction phase of a glass curtain wall or roofing.