A design method of nozzle for ionized gas, which is used for arc heated wind tunnel, has been studied by coupling a nonequilibrium computational fluid dynamics code with the characteristic method, where argon gas is used for the simplicity of analysis. The method to analyze the boundary layer with thermally nonequilibrium flow is also presented. The effect of the nonequilibrium characteristics is represented as the equivalent specific heat ratio, where iteration is required to calculate it. The final flow contours show that the distribution of Mach number is uniform at the nozzle exit, where the nozzle exit Mach number is set at 5. Thus the high enthalpy nozzle design method has been established.