  Using a $3.19~\mathrm{fb}^{-1}$ data sample collected at the
$\sqrt{s}~=~4.178$ GeV with the BESIII detector, we search for the rare decay
$D_{s}^{+} \rightarrow p \bar{p} e^{+} \nu_{e} $. No significant signal is
observed, and an upper limit of $\mathcal{B}(D_{s}^{+} \rightarrow p \bar{p}
e^{+} \nu_{e}) < 2.0 \times 10^{-4}$ is set at the 90\% confidence level. This
measurement is useful input in understanding the baryonic transition of
$D_{s}^{+}$ mesons.
