Cu(tpa) · (DMF) MOF 5 and its hybrids have been successfully synthesized by hydrothermal method and have been used as a nano adsorbent for heavy metal removal from waste water. The present work focuses on the transient adsorption of Ni(II) by Cu(tpa) · (DMF)MOF-5 and its hybrid with different graphene concentrations. MOF-5 was synthesized by terephthalate ligand and copper cores. Adsorption experiments were accomplished in initial concentration of Ni(II) 300ppm and 100ml volume of solution, 25mg of adsorbent and Room temperature. The XRD analysis of synthesized nano adsorbent (MOF-5 and all other hybrids) are compared to analyze the main factors and features. The results of scanning electron microscopy (SEM) of MOF-5 and MOF-5–Graphenee hybrid 30% show that graphenee layers behave as dividers and place between platelets of MOF-5Cu. Removal percentage of Ni(II) by various adsorbents, MOF-5Cu, 10% hybrid of MOF-5Cu–Graphenee, 20% hybrid, 30% hybrid, 40% hybrid are approximately, 85%, 86%, 90%, 96%, 94%, Respectively. Also, pseudo first and second order kinetic models studied to obtain the adsorptio treatment of MOF-5Cu–Graphenee hybrid 30% and it is found that the pseudo second order kinetic model i more reasonable for thi adsorbent. Our results indicate that MOF-5Cu and its hybrid with graphenee have great potential in removing Ni(II) ions from aqueous environment.