A self-anchoring, low profile container anchor with directional release and attachment capability comprises a lower base member, an upper movable member adapted for attachment to a container, and a seal member on the base member. The seal member is configured to engage an external reference surface and form a substantially airtight seal therewith that defines a periphery of a controlled pressure zone. A sealing valve disposed on a valve seat is operably connected to the movable member for lifting off the valve seat and vent the controlled pressure zone when the movable member is raised a first predetermined distance. However, the movable member can tilt a second predetermined tilting distance without the sealing valve lifting off the valve seat, thus providing tilt resistance.