The invention discloses an electric-conductive/lithium-conducting bi-functionalized graphene oxide material, a preparation method thereof, and an application thereof in a Li-S battery or a Li-air battery. The material is formed by doping metal elements in graphene oxide grafted with a lithium-conducting compound. The preparation method includes the steps of grafting the lithium-conducting compound onto the graphene oxide and doping the metal elements through a liquid-phase reaction. Due to the lithium-conducting compound, the lithium-conducting function of a cathode material is improved, wherein the lithium-conducting compound, in the Li-S battery, is used for immobilizing polysulfides, and in the Li-air battery, can accelerate reaction of oxygen and lithium ions and reduce polarization of the battery; meanwhile, the embedded metal ions can improve electric-conductivity of graphene oxide, catalyzes decomposition of Li2O2 in the Li-air battery for solving a problem of polarization during charging/discharging of the battery, and constraints the polysulfides and inhibits the polysulfides from entering an electrolyte in the Li-S battery. The invention solves problems in Li-S battery and Li-air batteries in the prior art from a new aspect. The material has wide application prospect.