In this paper, we classify existing spatial indexing schemes for spatial objects in geographic database systems into seven classes. Also, we propose a new spatial indexing scheme called MAX(Multi-Attribute indeXing scheme). The search, insert, delete algorithms for the proposed indexmg scheme are described in detail. It is expected that the performance of the proposed indexing scheme is better than the existing indexing schemes under the some conditions. The proposed indexing scheme, MAX, can be easily implemented on existing built-in B-trees in most storage managers in the sense tha.t the structure of MAX is like that of B-tree.