The off-center displacement of Co 2+ ion in SrO crystal is investigated by analyzing its anisotropic 𝑔 factors 𝑔𝑥, 𝑔𝑦 and 𝑔𝑧 through diagonalization of the 6 × 6 energy matrix within 4 𝑇1 ground state for a 3𝑑 7 ion under rhombic symmetry. In the matrix, the contributions from the admixtures of various 𝐽(= 1/2, 3/2, 5/2) states and the fourth-order term 𝐷𝜂 of rhombic crystal-fields and the ligand orbitals and spin-orbit coupling interactions, which are usually ignored in the previous studies, are considered. Both 𝑔 factors (𝑔𝑥 = 4.172, 𝑔𝑦 = 5.004 and 𝑔𝑧 = 2.133) and the off-displacement value (Δ𝑅 ≈ 0.023 nm) show good agreement with the experimental data.