An energy storage module comprising a plurality of electrochemical cells for storing electric energy and comprising at least one contacting device for electrically contacting the plurality of electrochemical cells. Each of the electrochemical cells has a first flat connection lug for contacting a first electrode of the respective electrochemical cell and a second flat connection lug for contacting a second electrode of the respective electrochemical cell. The electrochemical cells are arranged in a stacked formation and form a cell pack such that the first and second flat connection lugs extend outwards from two opposing sides of the cell pack in an at least substantially perpendicular manner. According to the invention, the at least one contacting device is substantially comb-shaped in particular and has a plurality of teeth which are formed and arranged such that a first or second connection lug is or can be received between two adjacent teeth.