Numerical simulation of the plasma arc is significant to its industry application. The progress in numerical simulation of free-burning and constricted plasma arc is represented. The numerical model of the plasma arc makes perfect through decrease of assumption. The method of numerical simulating the plasma arc is introduced. Both ANSYS and FLUNET softwares can be used to solve the numerical model of the plasma arc. The flow state should be considered seriously in future simulating study and the three-dimensional constricted plasma arc is worth to study in the future.