We investigated the stationary probability distribution (SPD) and the mean and normalized variance of the steadystate properties of a bistable Duffing model subjected to the additive and multiplicative colored noises with a colored crosscorrelation for different correlation times. The expression of SPD was obtained by using the unified colored noise approximation. Through analyzing the effects of the SPD and the mean and normalized variance, we found some new nonlinear phenomena absent for white noise: the additive noise intensity, the crosscorrelation intensity and correlated time between multiplicative and additive noise can induce nonequilibrium phase transition.