Magnetic moment direction of Tb in [Fe(40 Angstrom)/Tb(x Angstrom)](30) multilayers (x = 20 and 10) has been studied by the low temperature nuclear orientation technique in the temperature range of 5 - 50 mK and in the external magnetic field (B-ext) range of 0 - 1 T, applied along the sample plane. The gamma-ray anisotropy of the 299 keV Tb-160 line was monitored. The perpendicular magnetic anisotropy (PMA) of the Tb magnetic moments has been found at zero B-ext for both systems. The PMA effect increased when the Tb layer thickness decreased.