  We present new calculations of the differential decay rates for $H\to
\ell^+\ell^- \gamma$ with $\ell=e$ or $\mu$ in the Standard Model. The
branching fractions and forward-backward asymmetries, defined in terms of the
flight direction of the photon relative to the lepton momenta, depend on the
cuts on energies and invariant masses of the final state particles. For typical
choices of these cuts we find the branching ratios $B(H\to e \bar e
\gamma)=5.8\cdot 10^{-5}$ and $B(H\to \mu \bar \mu \gamma)=6.4\cdot 10^{-5}$
and the forward-backward asymmetries $\mathcal{A}^{(e)}_{\text{FB}}=0.343$ and
$\mathcal{A}^{(\mu)}_{\text{FB}}=0.255$. We provide compact analytic
expressions for the differential decay rates for the use in experimental
analyses.
