The present invention refers to a flexible multiple chamber bag for storing medical products comprising two or more chambers. A flexible multiple chamber bag (10) made by circumferentially welding two foils being non peelable and furthermore containing peelable and non-peelable welds (4,5,6) within the circumference weld (7) for the separate storing of medical products in separate chambers (1,2,3), containing a hanger flap (11) extending from the top end of said bag (10) and a single medical port system (9) welded within the lower end of said circumferential weld (7) of said bag (10) characterized in that one side end but different from the top end and the lower end of said circumferential weld (7) of said bag (10) contains a number of non-welded frustoconical-shaped interruptions (12,13,14) between said foils, each of said interruptions (12,13,14) respectively being connected to a different chamber (1 or 2 or 3) allowing the temporarily or permanent introduction of an appropriate filling tube (22,23,24) into each of said interruptions (12,13,14).