A restraint for a parked swap body container includes a face stop that can be selectively positioned to a restraining position and a release position. In the restraining position, the face stop is adapted to engage a front face of the container to limit the extent to which the parked container can move away from an edge of a truck loading dock. In The release position, the face stop allows a truck to remove the container from the loading dock. The restraint may also include a frame that can be repositioned longitudinally to accommodate containers of various lengths. A fine adjustment can be added to further limit horizontal movement of the container. And an optional bottom support could engage the bottom of the container to provide even more support.