A device for occluding a hollow anatomical structure includes a clamp having at least first and second clamping portions adapted to be placed on opposite sides of the anatomical structure. At least one of the first and second clamping portions is movable toward the other from an open position to a clamping or closed position to occlude the anatomical structure. The clamp has an annular shape configured to surround the hollow anatomical structure in the open position and a flattened shape in the clamping position configured to occlude the hollow interior of the anatomical structure. The clamp is preferably covered with fabric to promote tissue ingrowth. A clamp delivery and actuation device is provided for allowing the clamp to be applied in either an open surgical procedure or a minimally invasive procedure.