A pharmaceutical container with an improved peelable seal is provided, whereinthe container is made of a flexible polymeric film and comprises at least onepeelable seal comprising at least two substantially straight sections (7, 8)which are connected by a rupture zone (5), characterized in that the rupturezone (5) of the peelable seal is curved over its whole length between thestraight sections (7, 8). The container is used for storing pharmaceuticalsubstances, solutions for dialysis, solutions for infusion and/or agents fornutrition.