  In this paper, we study the relationship between isoparametric hypersurfaces
and hypersurfaces
  with constant principal curvatures in Finsler spaces. We give some examples
of isoparametric hypersurfaces with (non)constant principal curvatures on
Randers manifolds with nonconstant flag curvatures. Furthermore, we construct
an example of a conformally flat Randers manifold which admits a family of
nonisoparametric hyperplanes with constant principal curvatures.
