Stochastic resonance is studied in single-mode laser driven by colored noise with time period modulation of the noise correlation intensity. By means of the linear approximation method, we calculate the power spectrum and signal-to-noise ratio of the laser intensity. Effects of the noise intensity D and Q, the time period modulation frequency Ωλ, the noise self-correlation-time τ1 and τ2, and the noise correlation intensity λ on the signal-to-noise ratio R are discussed. The results reveal that the evolution of the signal-to-noise ratio with the noise intensity shows the single-peak resonance, the evolution of the signal-to-noise ratio with the time period modulation frequency shows periodic resonance and the evolution of the signal-to-noise ratio with the noise self-correlation-time shows monotonie increase.