In this work, graphene oxide (GO) was synthesized through Hummer's method and reduced to graphene (RGO) through thermal reduction. Then, a composite was prepared from GO and functionalized carbon nanotube namely GO/CNT under ultrasonic irradiation and finally was converted to RGO/CNT by heating to be used as the cathode material in the lithium-air battery. The physical characterization of synthesized composite was accomplished using X-ray photoelectron spectroscopy (XPS), atomic force microscopy (AFM), scanning electron microscopy (SEM), transmission electron microscopy (TEM), X-ray diffraction (XRD) and N2-adsorption-desorption techniques. The specific surface area of the composite was 564.48m2/g. The electrochemical efficiency of composite was evaluated through charge-discharge cycleability and electrochemical impedance spectroscopy analysis. The electrochemical tests showed that the storage capacity was about 9000mA·h/g at 100mA/g current density. The cyclic performances of prepared electrodes were examined during 50cycles. Results exhibited an appropriate electrochemical performance for this composite to reduce and generate oxygen in aprotic medium.