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We report room temperature ferromagnetism and its correlation with green luminescence band in Cu doped ZnO. Magnetic moment close to theoretical value has been obtained in high quality thin film achieved by optimizing different growth conditions. Rutherford back scattering and x-ray photoelectron spectroscopy were used to ascertain composition and the oxidation states of Cu inside the ZnO host. A correlation has been established between the Cu-induced green luminescence band and the magnetization in Cu doped ZnO.