With the two point correlation function, we investigate the effect of the correction parameters on the thermalization of Plasma in the background corrected by conformal anomaly. In terms of the AdS/CFT correspondence, this equals to probe the collapse of a shell of dust by the like-space geodesic in the background corrected by conformal anomaly. The result shows that as the parameter corrected by conformal anomaly increases, the thermalization time for the plasma evolving from the non-equilibrium state to the equilibrium state is longer. We also get the fitted function of the thermalization curve, and based on the function, we further obtain the thermalization velocity and thermalization acceleration. With the thermalization velocity curve, we find the thermalization process can be divided into a acceleration phase and a deceleration phase, the phase transition point raises as the parameter corrected by conformal anomaly increases.
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