  In this study, we investigate the magnetoelectric (ME) effect of the newly
discovered antiferromagnetic (AFM) compound Ce$_{3}$TiBi$_{5}$ with a hexagonal
structure (space group $P6_{3}$/$mcm$). In this system, Ce ions form zig-zag
chains that extend along the $c$-axis. We focus on the lack of the local
inversion symmetry at the Ce site, although the crystal structure has an
inversion center. A theoretical study has predicted that magnetization can be
induced by an electric current in the AFM ordering on the zig-zag chain. We
conducted magnetization measurements on Ce$_{3}$TiBi$_{5}$ under an applied
constant electric current and a static magnetic field around the AFM ordering
temperature of $T_{\rm N}$ = 5.0 K. We successfully observed of the
current-induced magnetization below $T_{\rm N}$. The magnitude of the
current-induced magnetization has a linear electric current dependence and
exhibits no magnetic field dependence. This behavior is consistent with the
theoretical prediction of the ME effect in the ferrotoroidal ordered state.
