  We consider the D dimensional Einstein Maxwell theory with a null fluid in
the Kerr-Schild Geometry. We obtain a complete set of differential conditions
that are necessary for finding solutions. We examine the case of vanishing
pressure and cosmological constant in detail. For this specific case, we give
the metric, the electromagnetic vector potential and the fluid energy density.
This is, in fact, the generalization of the well known Bonnor-Vaidya solution
to arbitrary D dimensions. We show that due to the acceleration of charged
sources, there is an energy flux in $D \ge 4$ dimensions and we give the
explicit form of this energy flux formula.
