Connection system for an energy storage device, wherein the energy storage device comprises a plurality of cells, a) with a plurality of cell connectors held by a carrier system, for electrical interconnection of the cells, b) with a storage control unit for monitoring the energy supply and/or charging condition of the cells, wherein the carrier system is configured to this end to receive and/or hold the storage control unit and wherein the storage control unit is configured in an incorporated or detachable manner with the carrier system, and, c) with a plurality of control lines fixed by the carrier system, for transmitting electrical signals between the cell connectors and the storage control unit, wherein d) one of the cell connectors and at least one control line associated with said cell connector are configured in one piece as a transmission element, in particular are manufactured in one piece jointly from a single semi-finished product, e) at least two of the cell connectors are arranged spacedly in a first row and at least two further cell connectors are arranged spacedly in a second row and the respective associated control line extends from each cell connector to the storage control unit or to a receptacle provided therefor, wherein the cell connectors of the first row and the associated control lines together form a first "leadframe" and the cell connectors of the second row and the associated control lines together form a second "leadframe" and f) the first and the second leadframe are arranged in a common carrier part comprised by the carrier system, wherein the carrier part has the interface and/or receptacle for the storage control unit. a) with a plurality of cell connectors held by a carrier system, for electrical interconnection of the cells, b) with a storage control unit for monitoring the energy supply and/or charging condition of the cells, wherein the carrier system is configured to this end to receive and/or hold the storage control unit and wherein the storage control unit is configured in an incorporated or detachable manner with the carrier system, and, c) with a plurality of control lines fixed by the carrier system, for transmitting electrical signals between the cell connectors and the storage control unit, d) one of the cell connectors and at least one control line associated with said cell connector are configured in one piece as a transmission element, in particular are manufactured in one piece jointly from a single semi-finished product, e) at least two of the cell connectors are arranged spacedly in a first row and at least two further cell connectors are arranged spacedly in a second row and the respective associated control line extends from each cell connector to the storage control unit or to a receptacle provided therefor, wherein the cell connectors of the first row and the associated control lines together form a first "leadframe" and the cell connectors of the second row and the associated control lines together form a second "leadframe" and f) the first and the second leadframe are arranged in a common carrier part comprised by the carrier system, wherein the carrier part has the interface and/or receptacle for the storage control unit.