The magnetic susceptibility of an icosahedral single quasicrystal Al70.2Pd21.3Mn8.5 was studied at temperatures from 4 to 1100 K. It was shown that the quasicrystal susceptibility included a temperature-independent diamagnetic contribution and temperature-dependent paramagnetic Curie contribution and the contribution owing to the fact that the electronic system had an energy gap. From the analysis of the low-temperature susceptibility, it followed that the quasicrystal contained about 0.008% ions with a magnetic moment of 4 B at 4 K. It was assumed that ions with a noncompensated magnetic moment appeared near structural vacancies in the quasicrystal lattice. The energy gap width = 0.64 eV between the valence band and the conduction band and the effective mass of charge carriers, which was equal to ~ 70 times the electron mass, were determined.