  We investigate the CP violating asymmetry, the forward backward asymmetry and
the CP violating asymmetry in the forward-backward asymmetry for the radiative
dileptonic B-meson decays $B_{d}\to \gamma \ell^+ \ell^-$ for the $\ell= e,
\mu, \tau$ channels. It is observed that these asymmetries are quite sizable
and $B_{d}\to \gamma \ell^+ \ell^-$ decays seem promising for investigating CP
violation.
