The present invention is specifically directed to a heart occlusion device with a self-centering mechanism. The heart occlusion device includes two separate uniquely shaped wires (12, 14, 12A, 14A) each forming shapes that mirror the respective wire's shapes. Each wire forms half-discs or quarter-discs (12B, 12B', 14B, 14B') that together form a distal disc (16) and a proximal disc (18). In other versions, the device includes four separate wires, each mirroring its neighboring wire and forming a proximal and a distal quarter-disc. In the versions with four wires, the quarter-discs of each wire together form proximal and distal discs. The distal disc and proximal disc are separated by a self-centering waist (12C,14C). The proximal disc is attached to a hub (30) comprising a screw mechanism. A similar hub is optional on the distal disc. The discs further include coverings which form a sealant to occlude an aperture in a tissue. The wires forming the discs have a shape-memory capability such that they can be collapsed and distorted in a catheter during delivery but resume and maintain their intended shape after delivery.