As a new kind of supporting member, a prestress selfbalanced cable truss has been widely applied in pointsupported glass curtain walls. The free and forced vibration behaviors were analysed. Taking the temperature effect and geometric nonlinearity into consideration, the nonlinear vibration equation was derived with continua theory for prestress selfbalanced cable truss support system in pointsupported glass curtain wall. By the Galerkin method, the partial differential equation was transformed into ordinary differential equation and then solved with LP method and KBM method. With the case study, the effects of temperature, amplitude, and exterior excitation on the nonlinear vibration were discussed. And it was found that the frequency would decrease with increase of temperature and the nonlinear vibration showed the characteristics of hard spring.