In different single crystals doped with Cu2+ ion, the g-anisotropy has been estimated using spin-Hamiltonian parameters obtained from Electron Paramagnetic Resonance studies. The ground state wave functions of Cu2+ are also calculated. The some other microscopic parameters were determined from the calculation of ground state wave functions. The calculated g-anisotropies are compared with the experimental results. A good agreement is found between the calculated and experimental g-anisotropies. The ground state is predominantly but in some crystals it is found to be . In the present study also, the ground state wave functions of Cu2+ are predominantly , but for some crystals like Laccase, Oxalate and Citrate it is found to be .