  We present new supersymmetric black-hole solutions of the 4- and
5-dimensional gauged supergravity theories that one obtains by dimensional
reduction on $T^{5}$ and $T^{6}$ of Heterotic supergravity with a triplet of
Yang-Mills fields. The new ingredient of our solutions is the presence of
dyonic non-Abelian fields which allows us to obtain a generalization of the
BMPV black hole with two independent angular momenta and the first example of a
supersymmetric, rotating, asymptotically-flat black hole with a regular horizon
in 4 dimensions.
