A self-aligning door stop is taught that consists of a resilient cone shaped body having an apex, a rebated base with a major diameter selected to exceed spacing between a door and a floor upon which the door moves. The rebated base is configured to permit the door stop body to roll into a horizontal position when dropped in proximity of the door. When the door stop is on the floor in any orientation and the door is opened the door stop automatically rolls in the space between the door and the floor thereby self-aligning the door stop. Increasing the door movement retains the door in the desired open position.