Abstract: Volume rendering is a technique for visualizing 3D scalar or vector data field in the area of Visualization in Scientific Computing (ViSC). Intersecting and visibility ordering are key problems that affect the efficiency of volume rendering, especially when the grid of data field is irregular. In this paper, a partition approach for direct volume rendering of the irregular data field is given. In this approach, the image plane is partitioned and the current boundary cell set is divided correspondely. By exploiting the characteristic of adjacency the efficiency of intersecting is increased, therefore the rendering is speed up. The implementation of the approach, together with some results are given in this paper.