Uniform grid is one of the important spatial organization structures, which is widely used in many applications such as ray tracing, collision detection, path planning and so on. Its simplicity to compute makes it very suitable for processing dynamic scenes. Because its construction time, space requirement and application efficiency are closely related with the grid resolution, optimizing grid construction has always been an important topic in the world. Hense, a new optimization method for grid construction which ensures that both of the construction time and the space requirement are in the complexity O(N), where N is the number of the primitives in the scene is proposed. In the related applications, such as ray tracing, it can achieve high acceleration efficiency, comparable with the best acceleration structures to date, such as the kd-tree, while reducing the construction time dramatically. These have been approved by the experimental results.