During a blood treatment, which can be a dialysis, the main unit (1) has to be used frequently in combination with at least one bag (11) normally attached to the stand also used for holding infusion bags. The new design of a housing (2) for the treatment device (1) is equipped with a holding element (20) swivel mounted (27) to its upper panel (13). The element (20) has a short vertical, a long horizontal and second short vertical segment with a head (21, 28) at its upper end. Several hooks (25, 26) are arranged around the head (21, 28), facilitating a convenient access to the particular bag (13).