Kinetics of polystyrene (PS) around the glass transition are revisited using relaxation model upon two fictive temperature approach by assuming different contributions of the component to average fictive temperature representing different properties of entropy (or volume) and enthalpy. The different contributions are described using Kohlrausch distribution functions with different beta. The fitting quality improves significantly for both normalized heat capacity and limit fictive temperature data of PS obtained after being cooled at different rates when the kinetic model upon two fictive temperature approach is used, no matter the relaxation time is calculated using the Adam-Gibbs-Vogel (AGV) model or free-volume (FV) equation. This result indicates that the relaxation kinetic of polymer around the glass transition can be described more accurately by using models upon two fictive temperature approach instead of the conventional models upon one fictive temperature approach.