The Hamiltonian matrices formulae of 5D state for 3d4/3d6 ions in cubic symmetry are derived using a two spin-orbit (SO) coupling parameter model. The Hamiltonian matrices are 25×25(5D) dimensions. On the basis of the formulae, the fine-structure splittings of the ground state in cubic ZnSe∶Fe2+ crystal are calculated. The Zeeman splitting,the Raman shift and the magnetization in magnetic fields up to 30T along the ［100］ and ［111］ directions are investigated, respectively. The present results are in excellent agreement with the experimental ones.