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^{+} u_{e} $. No significant signal is observed, and an upper limit of $mathcal{B}(D_{s}^{+} rightarrow p bar{p} e^{+} u_{e}) < 2.0 times 10^{-4}$ is set at the 90% confidence level. This measurement is useful input in understanding the baryonic transition of $D_{s}^{+}$ mesons.