In the case of the noises modulated by the bias signal, the stochastic resonance of a single-mode laser driven by two colored noises with time period modulation correlation intensity is investigated. By means of the linear approximation method, we calculate the output signal to-noise ratio. The evolution of the output signal to-noise ratio with the self-correlation time of the noises and noise intensity and bias signal is discussed. It is found that the evolution of the output signal to-noise ratio with the pump noise intensity and self-correlation time presents the stochastic resonance. The peak of the stochastic resonance is decreased by the bias signal. Thus we should control the intensity of the bias signal in practice.