In the theoretical calculation of total reaction cross section, the results can fit the experimental data very well at high energy, but they are about 10%—20% lower at intermediate energy. In this work the finite range correction has been added to the Glauber model, and a Fermidensitydistribution with two parameters has been chosen as the input density distribution of the nucleus. This shows that the results of the theoretical calculation are in agreement with the experimental one for nonexotic structural nucleus, both at high and intermediate energy regions.