  We present higher Chern-Simons-Antoniadis-Savvidy (ChSAS) forms based on
crossed modules. We start from introducing a generalized multilineal symmetric
invariant polynomial for the differential crossed modules and constructing a
metric independent, higher gauge invariant, and closed form using the higher
curvature forms. Then, we establish the higher Chern-Weil theorem and prove
that the higher ChSAS forms is a special case of this theorem. Finally, we get
the link of two independent higher ChSAS theories.
