Lithium manganese oxides are of great interest due to their high theoretical specific capacity for electrochemical energy storage. However, it is still a big challenge to approach its large theoretical limit. In this work, we report that Li2MnO3 nanorods with layered structure as superior performance electrode for supercapacitors. The synthesized Li2MnO3 nanorods possess large specific surface area of 179.5m2/g. The electrode made of the as-obtained Li2MnO3 nanorods exhibits high specific capacitance of 1129.5F/g at 2mV/s in 3M LiCl electrolyte. Detailed electrochemical analysis shows that diffusion controlled processes contribute most of the relative capacity. First-principles calculations within density functional theory also show that the diffusion of Li+ ions in the lithium layer is much easier than that in the manganese-lithium-oxygen layer. Therefore, the ion flow in lithium layer provides most of the high specific capacitance during charge/discharge. A flexible symmetric supercapacitor is assembled based on Li2MnO3/carbon fabric cloth. Such device demonstrates high specific capacitance, high energy density, high power density and excellent cycling stability. Three supercapacitors in series can efficiently power 288 blue LEDs in parallel for about 11min. These results indicate that Li2MnO3 nanorods are very promising as super electrode material for supercapacitors.