This invention relates to a hybrid design of connected carbon-metal electrode for advanced Na and Li batteries. The invention covers the following: 1. A hybrid electrode made of connected carbon and metal electrode for Li and Na battery applications. The carbon can be intercalation carbon, high surface area carbon, or hard carbon. The carbon and the metal can be connected as speparate electrodes, or carbon coating on metal, or as mixed carbon-metal electrodes. 2. Li-S battery in which the anode is made of connected carbon-Li electrode. 3. Li-ion battery in which the anode is made of connected carbon-Li electrode. 4. Li-ion battery in which the anode is made of carbon-Si electrode. 5. Li-ion battery in which the anode is made of Carbon-metal electrode, and cathode is made of LiFePO4, LiMnPO4, mixed metal oxides, and mixed composites of the active materials, conductors and binders, or any combination of the cathdoe and anode materials. 6. Na-ion battery in which the anode is made of connected carbon-Na electrode. 7. Na-ion battery with carbon-Na anode, and any combination of the cathdoe and anode materials. 8. Li-air battery in which the anode is made of connected carbon-Li electrodes. 9. Other metal air battery in which the anode is made of connected carbon-metal electrodes. 10. Hybride capacitor-battery devices using connected active metal, active carbon as one of the electrode materials.