Using the dynamical mean field theory with Lanczos method as its impurity solver, we study the orbital-selectiv Mott transition(OSMT) in the two-orbital J model and J_z model. In the multi-orbital systems, the Mott metal-insulato transition occurs successively when the widths of the bands are different. As the narrow orbital becomes Mott insulato while the wide orbital is still in metallic phase, we find an orbital-selective Mott phase(OSMP). There are two differen Hubbard models that are frequently used to...