One of the authors had pointed out that the heavy fermion system is a kind of Kondo system in which localized f-electrons can change with temperature. The f-electrons are bound in a narrow band near Fermi level. Using this model, the relation between the susceptibility and temperature is deduced and the susceptibility anomaly is explained in this paper. The calculated results of susceptibility for all the eight heavy fermion system coinside with the experimental data. The strong sample dependence of the susceptibility of the heavy fermion system has also been discussed.