Based on an approximative Fokker-Planck equation for a system driven by a multiplicative colored noise and an additive colored noise that are cross-correlated, the stationary probability distribution (SPD) of the single-mcxle laser cubic model with correlated pump colored noise and quantum colored noise is derived. Morever, the influence of cross-correlation, correlation-time and net gain on the SPD, and the influence of multiplicative noise on the normalized variance with the different correlation-time are also studied.