  When a reductive group acts on an algebraic variety, a linearized ample line
bundle induces a stratification on the variety where the strata are ordered by
the degrees of instability. In this paper, we study variation of
stratifications coming from the group actions in the GIT quotient construction
for projective toric varieties. Cox showed that each projective toric variety
is a GIT quotient of an affine space by a diagonalizable group with respect to
linearizations that come from ample divisors on the toric variety. We provide a
sufficient conditions for two ample divisors to induce the same stratification
and formulate two types of walls in the ample cone that completely capture two
kinds of variations. We also prove that the variation is intrinsic to the
primitive collections and the relations among ray generators of the fans.
