The ATLAS experiment at the LHC has achieved the precision level for the measurement of the Standard Model processes and has observed the Higgs boson in different production and decay channels. This is an excellent basis to probe the data for possible extensions of the Higgs sector of the Standard Model. In this talk, an overview of the recent searches for Higgs bosons beyond the Standard Model based on data taken in Run I is given. Prospect for the expected sensitivities for physics scenarios beyond the Standard Model in the Higgs sector will be discussed for the enhanced luminosity phase at an energy of 14 TeV at Run II starting in 2015.