The invention relates to a battery cell arrangement (2) having a plurality of battery cells (3), in particular having a plurality of pouch cells (4). The plurality of battery cells (3) in this case each have two main faces (5a, 5b) opposite one another and, with the respective main faces (5a, 5b) facing one another, are stacked in a stacking direction (6) to form a stack (7). Current collectors (8) of electrical poles of the plurality of battery cells (3) extend in this case on two opposite collector sides of the respective battery cells (3) perpendicularly to the stacking direction (6). The battery cell arrangement (2) also has a temperature-control arrangement (10) having at least one fluid channel (11a, 11b), through which a fluid is able to flow and which is arranged on the adjacent battery cells (3). According to the invention, the temperature-control arrangement (10) is formed by a flexible film loop (16), wherein at least one longitudinal section (12) of the flexible film loop (16) is arranged between two adjacent battery cells (3) and bears against the main faces (5a, 5b) of the respective adjacent battery cells (2) by way of a respective wall region (13a, 13b). In addition, the flexible film loop (16) is pressed in the at least one longitudinal section (12) in the stacking direction (6) between the adjacent battery cells (3) in such a way that at least one further wall region (14a, 14b) forms a loop (15a, 15b) and as a result the at least one fluid channel (11a, 11b) of the temperature-control arrangement (10) is formed. The invention also relates to a method (1) for producing the battery cell arrangement (2).