In this article, the film flow boiling over a vertical flat plate was studied numerically. The saturated liquid upward flow over a vertical flat plate with a uniform free stream velocity was considered. The Volume of Fluid (VOF) model was used for capturing the liquid-vapor interface. The effects of the wall superheat, the free stream velocity of hydrodynamics, and the heat transfer of the flow film boiling were studied in the absence and presence of a magnetic induction (MI). The results showed increased free stream velocity enhances the heat transfer coefficient (HTC). In addition, applying uniform MI results in a normal force at the liquid-vapor interface. This normal force enhances the local heat transfer coefficient (HTC) during film flow boiling on the heated vertical plate. Also, the percentage of HTC enhancement is higher when the magnetic field strength increases. Moreover, the heat transfer enhancement diminishes as the free stream velocity increases. Furthermore, an increase in the magnetic permeability ratios of the phases contributes to improving the HTC and increases the wall shear stress. The effect of the variation of the acceleration of gravity is also studied, revealing that a decrease in gravity’s acceleration actually slightly enhances HTC.