In view of the same time delay in the active and passive transmission processes with colored noises of the intracellular Ca^(2+), by means of a second-order algorithm for stochastic simulation of colored noises, the effect of colored noises on the normalized autocorrelation function (NAF) and characteristic correlation time (CCT) of the cytosolic and calcium store's Ca^(2+) concentrations are presented, respectively. The results indicate that: (1) NAFs of the cytosolic and calcium store's Ca^(2+) concentrations all appear with almost periodic oscillation, and they decrease as colored noises strengthen but increase as the correlation time of the colored noises is prolonged; (2) the correlation of the intracellular calcium oscillation (ICO) system is decreased by strong colored noises.