Heart valve including a valve body having a non-circular exterior periphery and a blood flow passage orifice through the valve body having a periphery substantially geometrically similar to the exterior periphery. A rigid occluder having a periphery slightly smaller than the internal periphery of the blood flow passage, pivots within the confines of the blood flow passage. The valve body can assume an oval, egg, kidney, or the like geometrical shape and pivots on an axis parallel or removed from the major axis of the non-circular heart valve body. The occluder pivots about pivot closed pivots and pivot open pivots, guide struts, or a T-shaped pivot post between occluding and non-occluding positions. Stop surfaces all retain the occluder in the occluding position and non-occluding position in the heart valve orifice.