The invention relates to a cryogenic container (110) for storing and/or transporting a medium (124), in particular a biochemical and/or medical product. The cryogenic container (110) comprises at least one primary container (118), having at least one flexible film bag (120). The flexible film bag (120) is designed to accommodate the medium (124). The cryogenic container (110) furthermore comprises at least one secondary container (132) at least partially surrounding the primary container (118) that is preferably at least partially flexible. The secondary container (132) has at least one opening (133) for inserting the primary container (118). The secondary container (132) furthermore has at least one preferably at least partially flexible outer sleeve (134). The secondary container (132) furthermore has at least one heat exchanger space (138) arranged between the outer sleeve (134) and the flexible film bag (120) for accommodating at least one fluid heat exchange medium.