Electron paramagnetic resonance (EPR) studies of copper ions, Cu(II), as paramagnetic impurity in glycine zinc sulphate crystals (GZS), have been carried out at ambient temperature. The detailed EPR analysis shows the only one site Cu and entered the lattice substitutionally in place of Zn(II). The spin-Hamiltonian parameters were obtained from the single crystal EPR analysis. By using the EPR data, molecular bonding coefficient and the Fermi contact interaction terms have been evaluated. Superhyperfine splittings were observed.