A medical or surgical sterile container includes a first container part, a second container part, and at least one closure system arranged on the second container part which is pivotable between a closed position, in which the first container part and the second container part are locked to each other by the closure system, and an open position, in which the first container part and the second container part are unlocked. The first container part has an integrally formed edge portion on which the closure system is immediately supported in the closed position, for transferring a closing force of the first container part to the second container part.
