The investgation of nuclear reaction data for deformed nuclei (especially well-deformed nuclei) is self-evident in its significance. As the most major uranium isotopes and actinides, the natural abundance of ²³⁸U is as high as 99.27%, and in the important military material depleted uranium, ²³⁸U accounts for more than 99.8%. ²³⁸U plays an important role in nuclear science and technology fields such as weapons, military, and energy. Therefore, the theoretical calculation and research of ²³⁸U nucleon scattering data have significant theoretical value and application prospects. For spherical nuclei (or near spherical nuclei), the elastic scattering data can be calculated using the spherical optical potential, while for nucleon scattering of deformed nuclei (or even well-deformed nuclei), a coupled-channels optical model needs to be used for analysis and calculation. The coupled-channels optical model no longer uses spherical optical potential, and nuclear deformation cannot be ignored and needs to be described in the rotator structure model. The low-lying collective levels of ²³⁸U are well reproduced by using the soft-rotator model. Using coupled-channels optical model, a dispersive coupled-channels optical potential for ²³⁸U is obtained. The derived potential shows a good description of nucleon-nucleus scattering data up to 200 MeV, including neutron total cross sections, nucleon elastic scattering angular distributions, nucleon inelastic scattering angular distributions, nucleon elastic analyzing powers, and nucleon inelastic analyzing powers.