A pharmaceutical container with an improved peelable seal is provided, wherein the container may be made of a flexible polymeric film and comprises at least one peelable seal comprising at least two substantially straight sections which are connected by a rupture zone (5), The rupture zone of the peelable seal may be curved over its whole length between the straight sections. The container may be used for storing pharmaceutical substances, solutions for dialysis, solutions for infusion and/or agents for nutrition.