  We discretize Chern-Simons couplings in gauge invariant way. We obtain
(p+q)-forms representing Chern-Simons couplings on (p + q)-simplexes from wedge
products of p- and q-forms on p- and q-simplexes, respectively, where p- and
q-simplexes form (p+q)-simplexes by having a common vertex. We show that the
Chern-Simons couplings on simplicial complexes reduce to Chern-Simons couplings
on the manifolds in a continuum limit. Moreover, we prove that a typical
discretized Chern-Simons term that has the Chern-Simons coupling is gauge
invariant.
