A simple and easy method for fabricating graphene quantum dots with uniformed size and high quality of emission property comprises steps of, mixing graphite powders with metallic hydrate salts, forming an intercalation compound of graphite wherein metalions are inserted by heating the mixed sloution, and removing the metalions from the intercalation compound of graphite. The graphene quantum dots is applicable th the development of electronic products in next generation such as display devices, recording devices, various sensors and nanocomputers and is applicable th biological and medicinal field as well.