Polyethylene chains having functional maleic anhydride groups were grafted on several graphene derivatives. These chain grafted graphene derivatives were added to polyethylene and the properties of the obtained nano-composites were investigated. Modified Hummers' method was employed to produce graphite oxide (GO). Then amino-functionalized GO (AFGO) was prepared through the functionalization of GO by ethylenediamine. Thermally reduced GO (TRGO) was prepared by the heating of the GO in the presence of nitrogen. TRGO was amino-functionalized to obtain amino functionalized nano-graphite (AFNG). Low density polyethylene (PE) and polyethylene grafted maleic anhydride (PEgMA) nano-composites, containing 1 to 3 wt% of the obtained fillers, were produced by solution mixing. With the incorporation of amino-functionalized graphene into PEgMA, the amine groups on the graphene surface and the maleic anhydride in PE chains covalently bonded and improved the mechanical properties of the nano-composites; by comparing PEgMA nano-composite with 1 wt% AFGO and 1 wt% GO, a 155 percent enhancement in the elongation at break was observed. The modulus and tensile strength of these nano-composites increased over the pure matrix. In addition, the effect of PEgMA content in the 1 wt% AFGO nano-composites was studied and the optimum ratio of PEgMA to PE was found to be 0.40 to 0.60. At this ratio, the best mechanical properties were achieved. Also, at 2 wt% nano-filler the elongation at break of the AFNG nano-composite was higher than that of the TRGO nano-composite. AFNG created more chain grafting but AFNG exfoliates more. The electrical conductivity of TRGO powders by amino-functionalization decreased about 20 times. Therefore, the electrical conductivity of the graphene nano-composites was higher than amino-functionalized graphene nano-composites.