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 gt=1.0 differs from that for the case of gt=0.0. The magnetization curve and susceptibility are obtained for a system of 200 sites. For 0<gt<gs, the phase diagram depending on the magnetic field and the ratio of Land