The physical and mathematical model of the Marangoni convection in liquid bridge with liquid encapsulation (or two immiscible coaxial liquid columns ) are established. A numerical simulation of the Marangoni convection in liquid bridge with liquid encapsulation is performed by employing vorticity-streamfunction method and the Alternative Direction Implicit scheme in finite difference. The distribution of temperature and flow in two liquid columns are then obtained. The influence law of Ma number of liquid encapsulation to the Marangoni convection in liquid bridge with liquid encapsulation is obtained.