An energy storage module, particularly a solid state battery, an energy storage system, a vehicle and a method for measuring an electrical voltage on an energy storage module or on an energy storage system is based on two stacked and series-connected energy storage cells, each have an anode layer and a cathode layer. A contact, which is electrically connected to an anode layer located within the stack of a first energy storage cell and to a cathode layer located within the stack of a second energy storage cell, which is adjacent to the first energy storage cell, leads out of the stack such that at least one contact can be contacted from outside the stack.