  We study the radiative leptonic $D$ meson decays of $D^+_{(s)}\to
\l^+\nu_{\l}\gamma$ ($\l=e,\mu,\tau$), $D^0\to \nu\bar{\nu}\gamma$ and $D^0\to
\l^+\l^-\gamma$ ($l=e,\mu$) within the light front quark model. In the standard
model, we find that the decay branching ratios of $D^+_{(s)}\to
e^+\nu_e\gamma$, $D^+_{(s)}\to\mu^+\nu_{\mu}\gamma$ and
$D^+_{(s)}\to\tau^+\nu_{\tau}\gamma$ are $6.9\times 10^{-6}$ ($7.7\times
10^{-5}$), $2.5\times 10^{-5}$ ($2.6\times 10^{-4}$), and $6.0\times 10^{-6}$
($3.2\times 10^{-4}$), and that of $D^0\to\l^+\l^-\gamma$ ($\l=e,\mu$) and
$D^0\to\nu\bar{\nu}\gamma$ are $6.3\times 10^{-11}$ and $2.7\times 10^{-16}$,
respectively.
