(0 0 1) Fe-films on GaAs and ZnSe substrates show steps in the hysteresis. For Fe on GaAs, which exhibits small damping in FMR (9-70GHz), the step is attributed to the critical ratio, 0.58, of the uniaxial in-plane and crystalline anisotropy. For the 60 nm Fe-film on ZnSe, the step in the hysteresis loop is caused by different anisotropy at the top and bottom surfaces. (C) 2002 Elsevier Science B.V. All rights reserved.