Search for physics beyond the standard model is a highly topical in modern particle physics. So far, BESIII experiment has collected the world’s largest data sets at the $J/\psi$ and $\psi$(3686) resonances. The huge data samples and a clean reaction environment provide a ideal place to search for new physics. We report recent searches of the invisible decays $J/\psi\to \gamma+ \rm{invisible}$ and the first search for the $\Lambda\to\rm{invisible}$ in the baryon sector.