A mechanism is disclosed for enabling labeled containers on different host machines to share file system portions. Before a process in a first container on a first host machine is allowed to access a file in a file system contained within a second container on a second host machine, a check is performed to determine whether a first sensitivity label associated with the first container is either identical to or dominates a second sensitivity label associated with the second container. If either is true, access to the file is granted. If the first sensitivity label is neither identical to nor dominates the second sensitivity label, access to the file is denied. By controlling access in this way, it is ensured that only containers with identical or higher sensitivity labels will be allowed to access the file. This in turn allows files to be shared by multiple containers without compromising security.