  We consider particle-like and black holes solutions of the
Einstein-Yang-Mills system with positive cosmological constant in d>4 spacetime
dimensions. These configurations are spherically symmetric and present a
cosmological horizon for a finite value of the radial coordinate, approaching
asymptotically the de Sitter background. In the usual Yang--Mills case we find
that the mass of these solutions, evaluated outside the cosmological horizon at
future/past infinity generically diverges for d>4. Solutions with finite mass
are found by adding to the action higher order gauge field terms belonging to
the Yang--Mills hierarchy. A discussion of the main properties of these
solutions and their differences from those to the usual Yang-Mills model, both
in four and higher dimensions is presented.
