Using the linear approximation method,the signal-to-noise ration of the output intensity for a loss-noise model of a single-mode laser driven by the colored pump noise and the quantum noise with cross-correlation between the real and imaginary parts have been calculated,when the laser system input an additive periodically signal,and detected the phenomenon of stochastic resonance in the laser system by virtue of the curve of signal-to-noise versus cross-correlation coefficient between the real and imaginary parts of the quantum noise.Moreover,when the pump noise self-correlation time is very short,with the increase of the amplitude and frequency of the signal,and pump noise self-correlation time,the stochastic resonance in the laser system will enhance,but with the increase of the noises intensity the resonance will decrease.When the pump noise self-correlation time is very long,with the increase of the amplitude of signal and quantum noise intensity,the stochastic resonance in the laser system will enhance,b