In this paper, the heat and mass transfer due to the steady, laminar, and incompressible MHD flow inside T-shaped cavity is numerically calculated. The fluid moves under an external magnetic field applied to the vertical axis of the cavity, and the cavity is driven by the parallel horizontal velocities from the upper and lower parts of the cavity. The governing equations of continuity, momentum, and the energy are solved simultaneously by using the finite difference method. The effect of Reynolds and Hartmann numbers on the streamlines, vorticity, temperature distribution, and velocity vectors in x–y directions is simulated. According to the motion of the fluid inside the cavity, some vertices vorticity will appear. It observes of their positions and the change