The invention relates to a secondary electrochemical cell comprising a negative electrode, a positive electrode, a porous separator which separates the negative and the positive electrodes from each other, and to an aqueous, alkaline electrolyte which impregnates the electrodes and the separator, in addition to a method for charging said type of electrochemical cell. The negative electrode comprises a current collector, a carbon-based storage material which makes it possible to store an electric charge in the electrode by forming an electric double layer (Helmholtz double layer), and a non-carbon-based H2 storage material which can store hydrogen in a chemisorbed form and/or in the form of a metal hydride. The positive electrode contains a current collector and nickel hydroxide and/or nickel oxyhydroxide. Th electrochemical cell comprises a housing which surrounds the electrodes, the separator and the electrolyte.