Abstract: A new method making up magic square is presented by analyzing the relation between the structure of n×n natural numbers array and the basic characteristic of any order magic square. The method is as follow: n/2 digitals of all dual rows or dual columns will be interchanged. If n is odd, adjusting the structure of the array is necessary, that is, the ordered series of numbers on the reverse first diagonal angle line, on the second diagonal line, on the central column and on the central row should be replaced respectively by the central column, the central row, the first diagonal angel line and the second diagonal angel line in the new array. Finally, some examples are given to show the advantage of this method, and many new kinds of magic squares will be generated by using this method.

Key words: magic square, interchanging digitals between the dual rows in one column, interchanging digitals on the diagonal angel line, hybrid digital switching, method making up magic square, interchanging digitals between the dual one row