A closure for a medical sterile container having a trough-like first container part and a lid-type second container part includes a closure flap which can be arranged on one of the container parts so as to be able to pivot between a closed position, in which the container parts are interlocked with each other by the closure, and an open position in which the container parts are unlocked. The closure includes a latch element which in the closed position of the closure interlocks the closure flap with the other container part.