A method and apparatus of animation planning for a dynamic graph is provided. A first method includes grouping changed nodes into atomic partitions according to the relationships between the changed nodes and existing nodes. The next step is clustering the atomic partitions according to clustering distances between the atomic partitions to generate a running list for planning animation of node changes in the dynamic graph. The running list includes elements selected from the group consisting of clusters of atomic partitions and atomic partitions. The present invention is able to plan a multi-stage animation demonstration of changes of a dynamic graph and has a improved readability and animation speed.