BESIII has collected (448.1$\pm$2.9)$\times 10^6~\psi(3686)$ and (1.0087$\pm$0.0044)$\times 10^{10}~\rm{J}/\psi$ data sample. We report recent searches of the $\rm{J}/\psi \to \gamma + $ invisible and $\Lambda\to$ invisible based on these huge data sets, where the second one is the first search of baryon's invisible decay. With no significant signal observed, the upper limits at 90\% C.L. are calculated, which provide constraints on the corresponding new physics models.