NOVELTY - The method for producing lithium-based accumulators having cooled cells, comprises producing electrochemical individual cells, producing a single- or multi-cell accumulator housing (4) having a double-walled, open web chamber structure that runs in the longitudinal direction, by way of extrusion molding, extrusion and/or injection molding, where the individual cells of the accumulator are arranged in a honeycomb design, and inserting the electrochemical individual cell or individual cells into the cells of the accumulator housing.    USE - Method useful for producing lithium-based accumulators having cooled cells.    ADVANTAGE - The method is capable of easily and cost-effectively producing lithium-based accumulators.    DETAILED DESCRIPTION - The method for producing lithium-based accumulators having cooled cells, comprises producing electrochemical individual cells, producing a single- or multi-cell accumulator housing (4) having a double-walled, open web chamber structure that runs in the longitudinal direction, by way of extrusion molding, extrusion and/or injection molding, where the individual cells of the accumulator are arranged in a honeycomb design, inserting the electrochemical individual cell or individual cells into the cells of the accumulator housing, where the individual cells are first encapsulated in a metal sleeve also having a hexagonal cross-section or inserted directly in the accumulator cells, closing the accumulator and interconnecting the individual accumulator cells. The electrochemical individual cells are produced by producing a web-shaped electrode composite, winding the electrode composites in a winding core with hexagonal cross-section, connecting the electrode terminal with a connection terminal, producing the single- or multi-cell accumulator housing with the chamber structure running in longitudinal direction, by way of extrusion molding, extrusion and/or injection molding, inserting the electrode coils in the cells of accumulator housing, where the electrode coils are previously encapsulated in the metal sleeve with hexagonal cross-section, or directly inserted in the accumulator cells, soaking the separator film with a fluid electrolyte, when no polymer electrolyte is used for the production of the web-shaped electrode composite, closing the accumulator and interconnecting the individual accumulator cells. The electrode contact present on the lower side of the electrode coil is led towards top through a cavity in the centre of the electrode coil so that both electrode connections are arranged on a side of the electrode coil. The accumulator is formed from individual hexagonal cross-sections that are inserted in the accumulator housing. The web chamber structure of external wall of the accumulator housing and/or the cell wall is connected with means for conveying a fluid and/or gaseous cooling medium. An INDEPENDENT CLAIM is included for an accumulator.    DESCRIPTION OF DRAWING(S) - The figure shows a schematic representation of an accumulator housing.    Accumulator housing. (4)