  Using an electron-positron collision data sample corresponding to an
integrated luminosity of 2.93~fb$^{-1}$ collected with the BESIII detector at a
center-of-mass energy of 3.773 GeV, we search for the baryon and lepton number
violating decays $D^{0}\to \bar{p}e^{+}$ and $D^{0}\to pe^{-}$. No obvious
signals are found with the current statistics. The upper limits on the
branching fractions for $D^{0}\to \bar{p}e^{+}$ and $D^{0}\to pe^{-}$ are set
to be $1.2\times 10^{-6}$ and $2.2\times 10^{-6}$ at 90\% confidence level,
respectively.
