Magnetization measurements under direct electric currents were performed for
toroidal magnetic ordered state of UNi$_4$B to test a recent theoretical
prediction of current-induced magnetization in a metallic system lacking local
inversion symmetry.We found that each of the electric currents parallel to
[$2\bar{1}\bar{1}0$] and [$0001$] in the hexagonal 4-index notation induces
uniform magnetization in the direction of [$01\bar{1}0$].The observed behavior
of the induced magnetization is essentially consistent with the theoretical
prediction; however it also shows an inconsistency suggesting that the
antiferromagnetic state of UNi$_4$B could not simply be regarded as a uniform
toroidal order in the ideal honeycomb layered structure.