  In this paper, we study the magnetic properties of the one-dimensional SU(4)
spin-orbital model by solving its Bethe ansatz solution numerically. It is
found that the magnetic properties of the system for the case of $g_t=1.0$
differs from that for the case of $g_t=0.0$. The magnetization curve and
susceptibility are obtained for a system of 200 sites. For $0<g_t<g_s$, the
phase diagram depending on the magnetic field and the ratio of Land\'e factors,
$g_t/g_s$, is obtained. Four phases with distinct magnetic properties are
found.
