Method for producing an energy storage module having: - a multiplicity of energy storage cells, connected electrically in series; and - a housing, produced from plastic, at least in some regions and preferably completely, in which the multiplicity of energy storage cells is received, wherein each energy storage cell has, on each of two opposing sides, a flexible and/or bendable connecting element (11a, 11b), by means of which adjacently arranged energy storage cells are connected or can be connected to one another in such a way that flexible and/or bendable connection points are formed, characterized in that the method is a continuous production method which has the following steps: i) supplying a lower housing shell made from plastic as an endless strip; ii) arranging the multiplicity of energy storage cells in each case by means of a first surface of the energy storage cells on the lower housing shell; iii) welding the connecting elements (11a, 11b), which are each arranged on two opposing sides of each energy storage cell, of directly adjacent energy storage cells in order to electrically connect the directly adjacent energy storage cells to one another in series via the connecting elements (11a, 11b); and iv) supplying an upper housing shell made from plastic as an endless strip on a second surface of the energy storage cells, which lies opposite the first surface, wherein a barrier layer is arranged between the lower and upper housing shells (20a, 20b) and each of the multiplicity of energy storage cells, wherein the barrier layer prevents gases and/or liquids from penetrating and/or escaping from the housing, and wherein the barrier layer made from metal, metal oxide and/or silicates is connected in integrally bonded fashion to a surface of the lower housing shell that faces the multiplicity of energy storage cells and to a surface of the upper housing shell that faces the multiplicity of energy storage cells. - a multiplicity of energy storage cells, connected electrically in series; and - a housing, produced from plastic, at least in some regions and preferably completely, in which the multiplicity of energy storage cells is received, wherein each energy storage cell has, on each of two opposing sides, a flexible and/or bendable connecting element (11a, 11b), by means of which adjacently arranged energy storage cells are connected or can be connected to one another in such a way that flexible and/or bendable connection points are formed, characterized in that the method is a continuous production method which has the following steps: i) supplying a lower housing shell made from plastic as an endless strip; ii) arranging the multiplicity of energy storage cells in each case by means of a first surface of the energy storage cells on the lower housing shell; iii) welding the connecting elements (11a, 11b), which are each arranged on two opposing sides of each energy storage cell, of directly adjacent energy storage cells in order to electrically connect the directly adjacent energy storage cells to one another in series via the connecting elements (11a, 11b); and iv) supplying an upper housing shell made from plastic as an endless strip on a second surface of the energy storage cells, which lies opposite the first surface, i) supplying a lower housing shell made from plastic as an endless strip; ii) arranging the multiplicity of energy storage cells in each case by means of a first surface of the energy storage cells on the lower housing shell; iii) welding the connecting elements (11a, 11b), which are each arranged on two opposing sides of each energy storage cell, of directly adjacent energy storage cells in order to electrically connect the directly adjacent energy storage cells to one another in series via the connecting elements (11a, 11b); and iv) supplying an upper housing shell made from plastic as an endless strip on a second surface of the energy storage cells, which lies opposite the first surface, wherein a barrier layer is arranged between the lower and upper housing shells (20a, 20b) and each of the multiplicity of energy storage cells, wherein the barrier layer prevents gases and/or liquids from penetrating and/or escaping from the housing, and wherein the barrier layer made from metal, metal oxide and/or silicates is connected in integrally bonded fashion to a surface of the lower housing shell that faces the multiplicity of energy storage cells and to a surface of the upper housing shell that faces the multiplicity of energy storage cells.