On the basis of the general expression of the scattering matrix between two particles with spin, derived by Jocob and Wick, with certain approximations we have analysed the experimental data of the angular distribution of the fission fragments from Th230,Th232,U234,U236, and U238, bombarded by neutron whose energy is in the region near the fission threshold. The results of this analysis show: (1) The angular distribution of the fission fragments, in the region near the threshold, can be explained by a few rotational bands (every band has a definite parity) above the saddle point. (2) These rotational bands are consistent with the asymptotic energy levels of Nilsson.Furthermore, based on the idea that the barrier of the saddle point of the symmetric fission is higher than that of the asymmetric, we discussed the correlation between the anisotropy of the angular distribution of fission fragments and its mass ratio.