An asymmetric supercapacitor has a positive electrode having a current collector an active material selected from the group consisting of manganese dioxide, silver oxide, iron sulfide and mixtures thereof, a negative electrode having a carbonaceous active material carbon and optional current collector, an electrolyte, and a separator plate. In a preferred embodiment at least one of the electrodes has nanostructured/nanofibrous material and in a more preferred embodiment, both electrodes have nanostructured/nanfibrous material. The electrolyte can be liquid or solid although liquid electrolytes are preferred.The asymmetric supercapacitor has improved energy density by electrically coupling an electrode of high faradaic capacity such as one having manganese oxide (MnO.sub.2) with an electrode such as carbon that stores charge through charge separation at the electric double-layer. The asymmetric supercapacitor also improves power density by using high surface area nanostructured/nanofibrous electrode materials.