Container with a membrane packaging for medical objects, consisting of at least one cover which is connectable to a lower part, wherein at least one clamping membrane is circumferentially and peripherally attached to at least one container part, and the object to be protected lies upon the at least one clamping membrane and is borne by it, wherein only one clamping membrane, is given, which lies opposite to a fixed holding slot for holding the object on the other container part and an additional pretensioning can be applied to the clamping membrane upon closing of the container.