A DC gliding arc discharge stabilized by a magnetic field in a gas flow is studied. The discharge is bounded by dielectric walls channeling the gas flow. The arc, the magnetic field and the gas flow are mutually perpendicular so that the Lorentz force arising due to the arc current and magnetic field interaction is directed in a direction opposite to the gas flow. The effects of the gas flow turbulence on the plasma parameters and the discharge behavior are investigated by means of a numerical simulation. The results pertain to different intensities of the turbulence and two distances between the dielectric plates where the arc is stabilized, namely, 2 mm and 4 mm. The results show the significant effect of the turbulent transport on the arc stabilization and, in general, the need of a stronger magnetic field for stabilizing the arc for the same gas flow.