  In this paper, we present the metric for the $n$-dimensional charged slowly
rotating dilaton black hole with $N = [(n -1)/2]$ independent rotation
parameters, associated with $N$ orthogonal planes of rotation in the background
of asymptotically flat and asymptotically (anti)-de Sitter spacetime. The mass,
angular momentum and the gyromagnetic ratio of such a black hole are determined
for the arbitrary values of the dilaton coupling constant. We find that the
gyromagnetic ratio crucially depends on the dilaton coupling constant,
$\alpha$, and decreases with increasing $\alpha$ in any dimension.
