We have investigated the kinetics of a ternary system using the cluster variation method and the pathprobability method in the pair approximation. From the calculated metastable phase diagram and kineticpath of the system, we demonstrated the existence of transient ordered states during the relaxation fromthe completely disordered state to the equilibrium disordered state due to the difference of relaxationtime for the three species of atoms in ternary alloy. This suggests that it is possible to obtain anordered state in a quenching process of ternary alloy in the disordered phase region of equilibrium phasediagram.