Rare and Exotic decays of the Higgs boson at the LHC

The recent LHC searches on rare and exotic Higgs boson decays are presented. The analyses are individually performed by the ATLAS and CMS collaborations, using LHC run-1 dataset with an integrated luminosity of 20 $fb^{-1}$. The standard model rare Higgs decays, such as H $\to \mu\mu$, ee, and H $\to$ Z/$\gamma$($\to \ell\ell$) + $\gamma$ are reviewed first, followed by exotic decays, such as lepton-flavour violating decays ($H \to \mu\tau$, $e\tau$, $e\mu$) and decays into a pair of pseudoscalar Higgs bosons (H $\to a_1a_1$).