Abstract:When we use the binary tree to store data, one of the main problems is space complexity, and the other is degeneration. There must be some pointer fields to point out the successor of every node in the binary tree.Additional stack space is needed to complete the output of the nodes in the tree according to the sorted order. We usually insert and delete the nodes in a random way. If we do not make use of special techniques to insure the balancing of the binary tree, the tree probably would finaUy degenerate into a linear linked list. Consequently, the time complexity of the inquiry, insertion and deletion in the data structure is increased to a great extent.To solve the two problems mentioned above, the threaded tree, the balancing tree and the threaded balancing tree are employed to replace the ordinary binary tree. Among these techniques some can save stack space and others can solve degenerating problem. However, is there such a method w.hich can simultaneously solve those problems?A new, effective data structure of the full tree and the fundamental algorithms of its insertion, deletion, inquiry and symmetric order traversing are presented in this artile. In the data structure, without a pointer field, the relationship of the nodes in the tree is connected with sequential address notation. So the space complexity is considerably decreased and the fundamental algorithm is also simplified to a certain extent. If the inserting and deleting nodes are less than the nodes of the file, the time complexity of the algorithm is also comparatively good.