A graphic data management system including a segment table in which several kinds of graphic data placed in a multi-dimensional space are stored correspondingly to graphic element numbers, and an index table in which, for each of the cell numbers provided when the multi-dimensional coordinate system is partitioned into predetermined cells, and all the graphic element numbers at least a part of which included in a cell are stored. The graphic data management system carries out the search, addition and deletion referring to a segment table and the index table. The index table includes a cell pointer table in which pointers indicative of the addresses where the graphic element numbers are stored are listed for each cell number, a cell table in which the graphic element number and concatenation pointers which indicate the storing addresses of the subsequent graphic element numbers are listed as pairs, and a space management pointer indicative of the address of a free space area in the cell table.