By adding frequency modulated signal to the equation of the laser intensity of the gain-noise model of the single-mode lasers, we use the linear approximation method to calculate the power spectrum and signal-to-noise ratio (SNR) of the laser intensity, which is driven by two white noises correlated in the form of δ function. The result shows that the SNR shows typical stochastic resonance with the change of intensities of the pump noise and quantum noise. As the amplitude of a modulated signal has an effect on the SNR， it shows suppression, monotonic increase, resonance, suppression and resonance and so on， with the varing of the frequencies of the carrier signal and modulated signal.
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