Search for charm rare decays at BESIII

The BESIII experiment has collected 2.6 billion $\psi (3686)$ events, 10 billion events, 20 $f{b}^{-1}$ of $D$ meson pairs at 3.773 GeV, and 7.33 $f{b}^{-1}$ of $D_s{D}_s^{\ast }$ events from 4.128 to 4.226 GeV. These huge data samples allow us to search for rare or forbidden processes in charm hadron decays. We summarize the recent research of charm rare decays at BESIII in this paper.