This paper proposes a novel method of Reconstruction of Vessel Axis on the matching of iterative projection algorithm and analyzing of corresponding points. The 3-D space is divided into several cubes. The cubes are projected in the actual projection directions separately. If a cube-projection includes vessel axis points, it is believed that the cube includes 3-D vessel. Then we divide the cube into several smaller cubes and repeat above process until the needed precision is reached. An approximate 3-D model of vessel axis is constituted according to projections of the cubs. The corresponding relationships of vessel axis between different direction projections are analyzed according to the approximate 3-D axis model. Then we can constitute the accurate continuous 3-D vessel axis by interpolation method. We use an actual DSA sequence as the experimental data and the result is satisfactory.