  We investigate the differential branching ratio, branching ratio,
differential forward-backward asymmetry, the forward-backward asymmetry of the
lepton pair and the lepton polarization asymmetry of the exclusive $B\to \tau^+
\tau^- \gamma$ decay in the general two Higgs doublet model including the
neutral Higgs boson effects. We analyse the dependencies of these quantities on
the model parameters and also on the neutral Higgs boson effects. We found that
they get considerable enhancement from the two Higgs doublet model compared to
the standard model and neutral Higgs boson effects are quite sizable.
