In the method for making graphene, an electrolyte solution is formed by dissolving an electrolyte lithium salt in an organic solvent. Lithium ions are separated out from the electrolyte lithium salt in the electrolyte solution. Metal lithium and graphite are disposed in the electrolyte solution, and the metal lithium and the graphite are in contact with each other. In the electrolyte solution, lithium ions and organic solvent molecules jointly insert between adjacent layers of the graphite to form a graphite intercalation compound. The graphene is peeled off from the graphite intercalation compound.