  Using an electron-positron collision data sample of 2.93 fb$^{-1}$ collected
at a center-of-mass energy of $\sqrt{s}=3.773$ GeV with the BESIII detector, we
present the first search for the radiative leptonic decay $D^{+} \rightarrow
\gamma e^{+}{\nu}_{e}$. The analysis is performed with a double tag method. We
do not observe a significant $D^{+} \rightarrow \gamma e^{+}{\nu}_{e}$ signal,
and obtain an upper limit on the branching fraction of $D^{+} \rightarrow
\gamma e^{+}{\nu}_{e}$ decay with the energy of radiative photon larger than 10
MeV of $3.0\times10^{-5}$ at the 90% confidence level.
