a battery cell arrangement having a battery cell which is in the form of a film cell and includes a flat cell body with two end faces , a flexible cell rim surrounding the cell body , and two contact sections arranged on a rim side of the battery cell . the battery cell arrangement further has a frame arrangement which includes a first frame element and a second frame element which frames the cell body on all sides on the rim . at least one vent opening is provided on a side of the frame arrangement which faces away from the end faces of the cell body , in order to allow fluid , in particular gas , to emerge from the battery cell arrangement in the event of damage .