Searches for Rare decays of the Higgs boson with the ATLAS detector

The recently discovered Higgs boson is a candidate for the last unobserved particle predicted by the Standard Model (SM). The next experimental step is the measurement of its properties, most notably its couplings. This contribution will present the searches for the SM Higgs boson via decays in rare modes such as di-muon pairs, decays to ZGAMMA or invisible decays.