The infrared properties of icosahedral phases of AI-Mn and AI64Cu22Fe14are studied. In principle, the observed overall spectral shapes of the optical conductivities of both samples correspond to the low density of states at Fermi level and/or to the localization tendency of states. The observed anomalies (shoulders and bumps) in the conductivities are discussed in terms of interband transitions and phonons. We observed good qualitative agreement between our results and the predictions of the theory of compartmentalization which was suggested to describe the electronic properties of quasicrystals and rational approximants.