  We investigate finite energy solutions of Yang-Mills--Chern-Simons systems in
odd spacetime dimensions, d=2n+1, with n>2. This can be carried out
systematically for all n, but the cases n=3,4 corresponding to a 7,8
dimensional spacetime are treated concretely. These are static and spherically
symmetric configurations, defined in a flat Minkowski background. The value of
the electric charge is fixed by the Chern-Simons coupling constant.
