A three-fluid model is applied for the numerical simulation of the axisymmetric flow and temperature fields in a nonequilibrium argon plasma jet which can be controlled by applying an electromagnetic field. The effects of the magnetic field on the characteristics of each plasma species, i.e., electrons, positive ions, and neutral particles, should be accurately clarified. The three-fluid model applied here can clarify the behavior of each plasma species. Equations of conservation for each plasma species coupled with tire generalized Ohm’s law, Maxwell’s equations, and the equation of state are simultaneously solved taking variable transport properties into account. It is shown that the electron temperature is the highest and the electron velocity is strongly influenced by the magnetic field. Furthermore, the momentum and energy exchanges through electrons can be varied even by a small magnetic flux.