Taking into account the temperature effect ,the nonlinear vibration of elliptic paraboloid cable net using carbon fiber cables under foundation displacement excitation was studieded.Then the nonlinear vibration equation was presented,whose approximate solution was given with Galerkin principle and KBM method.And the effects of foundation displacement excitation,temperature,amplitude and asexternal damping on the nonlinear vibration of elliptic paraboloid cable net with the comparison between steel cable and carbon fiber cable were discussed.At last the conclusions are obtained that the temperature have great influence on steel cable and bat not on carbon fiber cable,and the vibration characteristics of cable net using carbon fiber cables is superior to cable net using steel.