Based on 2.93 fb$^{-1}$ of $e^+e^-$ collision data taken at $\sqrt s=3.773$ GeV and 1.31$\times 10^{9}$ J/\psi$ events taken at $\sqrt s=3.097$ GeV, we present the searches for baryon number and lepton number violation from $D^0\to pe^-(\bar{p}e^+)$, $D^+\to \bar{\Lambda (\bar{\Sigma^0})e^+$, $D^+\to \Lambda(\Sigma^0)e^+$, $D^{\pm}\to n(\bar{n})e^{\pm}$, $J/\psi\to \Lambda^+_ce^-+c.c$, and $J/\psi\to pK^ \bar{\Lambda}+c.c$ decays are reported at BESIII. No obvious signals are found and the upper limits on the branching fractions of these decays are set to be $\sim 10^{-8}-10^{-6}$ at 90\% confidence level. Those results are the most stringent ones to date for these processes but are still far above the prediction of the higher generation model.