  We consider globally regular and black holes solutions for the
Einstein-Yang-Mills system with negative cosmological constant in $d-$spacetime
dimensions. We find that the ADM mass of the spherically symmetric solutions
generically diverges for $d>4$. Solutions with finite mass are found by
considering corrections to the YM Lagrangean consisting in higher therm of the
Yang--Mills hierarchy. Such systems can occur in the low energy effective
action of string theory. A discussion of the main properties of the solutions
and the differences with respect to the four dimensional case is presented. The
mass of these configurations is computed by using a counterterm method.
