We investigate the stochastic resonance of the bistable system driven by multiplicative and additive colored noises with colored cross-correlation. The expression of signal-to-noise ratio (SNR) is obtained by using the adiabatic limit. Through analyzing SNR with the initial condition of x(0)=x+ , we find the stochastic resonance and the stochastic multiresonance. We also find the effects of the noise intensity, the cross-correlation intensity and the correlation time of the noise on the SNR.