Hyperfine fields (hff) in Fe/V and Fe/Co superlattices have been investigated using angle dependent Mössbauer spectroscopy. Conversion electron Mössbauer (CEM) spectra were measured for different orientation of radiation beam relative to the crystallographic axes of the sample. Hff distributions were extracted from the texture-free spectra in which the ratio between different lines is independent on the hff directions. In Fe/V multilayers we found well-defined magnetic texture in the superlattice plane. To connect hff with magnetic moments we performed microscopic calculations of the electronic structure for Fe/V multilayers with alloyed interface. In Fe/Co multilayers the second and the fifth line of the spectra can be almost fully suppressed for appropriate beam direction in the plane of the sample. It means that all magnetic moments of Fe atoms are ordered in the same direction and, therefore, Fe/Co multilayers have to show strong magnetic anisotropy.