[en] An improved quasi-static method based on the theory of predictor-corrector was adopted to solve the problem of neutron space-time kinetics. Shape function was generated from the predictor neutron fluence rate which was obtained through implicit difference method. The iterative computation of shape function would be avoided. The predicted neutron fluence rate would be corrected according to the amplitude function and then the final distribution of neutron fluence rate could be obtained. The results show that its computing speed is much faster than that of ordinary improved quasi-static method if the time interval is long enough, and the precision of results is high enough. (authors)