  We study static spherically-symmetric solutions of non-Abelian gauge theory
coupled to Conformal Gravity. We find solutions for the self-gravitating pure
Yang-Mills case as well as monopole-like solutions of the Higgs system. The
former are localized enough to have finite mass and approach asymptotically the
vacuum geometry of Conformal Gravity, while the latter do not decay fast enough
to have analogous properties.
