A medical sterilization container has a tub-like first container part, a cover-like second container part, a filter device which is disposed or mounted, particularly from outside, on at least one of the container parts, and a sterilization container closure, which includes at least one closing flap that can be disposed on one of the container parts between a closed position and an open position for the purpose of closing the two container parts one to the other. When in the closed position, the closing flap locks and/or fastens and/or secures the filter device to the container part on which the filter device is disposed or mounted.