  The infinitesimal symmetries of a fully decomposed non-Abelian gerbe can be
generated in terms of a nilpotent BRST operator, which is here constructed. The
appearing fields find a natural interpretation in terms of the universal gerbe,
a generalisation of the universal bundle. We comment on the construction of
observables in the arising Topological Quantum Field Theory. It is also shown
how the BRST operator and the trace part of a suitably truncated set of fields
on the non-Abelian gerbe reduce directly to the coboundary operator and the
pertinent cochains of the underlying Cech-de Rham complex.
