  We present an investigation of spinning black holes in
Einstein--Gauss-Bonnet--dilaton (EGBd) theory. The solutions are found within a
non-perturbative approach, by directly solving the field equations. These
stationary axially symmetric black holes are asymptotically flat. They possess
a non-trivial scalar field outside their regular event horizon. We present an
overview of the parameter space of the solutions together with a study of their
basic properties. We point out that the EGBd black holes can exhibit some
physical differences when compared to the Kerr solution. For example, their
mass is always bounded from below, while their angular momentum can exceed the
Kerr bound, Also, in contrast to the Kerr case, the extremal solutions are
singular, with the scalar field diverging on the horizon.
