  We show a matrix decomposition of flavor mass matrix for Dirac neutrinos $M$
by sum as $M=M'+M^0$ where $M'$ obeys the feature of the magic square and $M^0$
is three-zero texture. The favorable three-zero textures in the context of
magic square are explored. It turned out that so-called the normal ordering of
neutrino masses is favored over the inverted ordering in the context of magic
square.
