The effect of inducing a uniaxial anisotropy in microcrystalline Fe/FeCrB multilayers by applying a magnetic field during deposition was studied. Not only a reduction of remanent magnetization, but also an increase of permeability (at 10 MHz) are the result. In the hard axis direction a permeability of 6000 is found for a 10 nm/3 nm Fe/FeCrB multilayer. Calculations show that such high permeabilities are interesting for high-density recording heads without ferrite in the core. The domain structure in the head shows the presence of the uniaxial anisotropy. Large unwanted closure domains, in which rotation permeability is low, are present.ETX