A rechargeable button cell including a housing half-parts comprising a housing cup and a housing top separated from one another by an electrically insulating seal or film seal is disclosed. The button cell includes an electrode-separator assembly within the housing having a positive and a negative electrode in the form of flat layers connected to one another by a porous plastic film separator. The electrodes each include a metallic film or mesh embedded in a respective electrode material as a current collector, which acts as an output conductor that connects the electrodes to one of the flat bottom or flat top areas of the housing.