A method and an apparatus for animating transition among a dynamic graph series including a preceding graph and a succeeding graph which are temporally sequentially displayed. The method includes: selecting an unchanged node which is the nearest to a removed node and merging through animation the removed node with the unchanged node, thereby animating removal of the removed node; and selecting an unchanged node which is the nearest to an added node and splitting through animation the added node from the unchanged node, thereby animating addition of the added node. During the animation, the moving distances of the nodes can be shortened, and the crossing of movement paths and the crossing of graph edges can be prevented during the movement of the nodes, thereby visualizing smoothly and clearly transition among dynamic graph series.