  The (2+1)-dimensional Hirota-Maxwell-Bloch equation (HMBE) is integrable by
the Inverse Scattering Method. In this paper, we construct a Darboux
transformation (DT) of the (2+1)-dimensional HMBE. Also the one-soliton
solution obtained by means of the one-fold DT. For the $n$-soliton solution the
general form is presented.
