This disclosure synthesizes an anodic composite material Li(LixNiyCozMnwO2+α) of Li2MnO3 series whose theoretical capacity is a level of about 460 mAh/g, and to produce an electrode of a high capacity using the synthesized anodic composite material. Also provided is a method for charging and discharging the electrode. Here, the method for producing an anodic composite material for a lithium secondary battery includes the steps of: mixing a nickel nitrate solution, a manganese nitrate solution, and a cobalt nitrate solution to produce a starting material solution; and mixing the starting material solution with a complexing agent so as to produce an anodic composite material Li(LixNiyCozMnwO2+α) of Li2MnO3 series by means of coprecipitation.