  We find a class of asymptotically flat slowly rotating charged black hole
solutions of Einstein-Maxwell-dilaton theory with arbitrary dilaton coupling
constant in higher dimensions. Our solution is the correct one generalizing the
four-dimensional case of Horne and Horowitz \cite{Hor1}. In the absence of a
dilaton field, our solution reduces to the higher dimensional slowly rotating
Kerr-Newman black hole solution. The angular momentum and the gyromagnetic
ratio of these rotating dilaton black holes are computed. It is shown that the
dilaton field modifies the gyromagnetic ratio of the black holes.
