For the laser system in which the correlation intensity between color noises is modulated by the time period，we investigate the stochastic resonance with the signal modulation of the noise. By means of the linear approximation，we calculate the intensity correlation function and signal-to-noise ratio （SNR） and discuss the evolution of the SNR with the noise intensity and self-correlation time of noises and signal frequency and time period modulation frequency. A new stochastic resonance is found. The evolution of the signal-noise ratio with the time period modulation frequency reveals periodic oscillation. We obtain the generalized stochastic resonance, in which the evolution of the signal-noise ratio with the self-correlation time of the pump noises and signal frequency presents the stochastic resonance. The typical stochastic resonance of the signal-noise ratio with the noise intensity is obtained also. The evolution of the signal-noise ratio with the self-correlation time of the quantum noise shows the restrainment.