Based on the theoretical models for light nuclei,the calculations of reaction cross sections and the angular distributions for d+~8Li reaction are performed.Since all of the particle emissions are from the compound nucleus to the discrete levels,the angular momentum coupling effect in pre-equilibrium mechanism is taken into account.The three- body break-up process and the recoil effect are involved.The theoretical calculated results are compared to existing experimental data. Based on the theoretical models for light nuclei, the calculations of reaction cross sections and the angular distributions for d + ~ 8Li reactions are performed. All of the particle emissions are from the compound nucleus to the discrete levels, the angular momentum coupling effect in pre -equilibrium mechanism is taken into account. The three-body break-up process and the recoil effect are involved. theoretical calculated results are compared to existing experimental data.