In this paper the fluid flow of a particular type of micropumps, so-called Magnetohydrodynamic (MHD) micropump, has been simulated numerically. In this investigation, the governing equations of a fluid flow in MHD micropumps with the incompressible, steady state, laminar and fully developed assumptions, have been derived and solved. In the momentum equation associated with the considered flow model, the foregoing Lorentz force has been replaced by a uniform hydrostatic pressure gradient throughout the channel. The effects of channel geometry, electric and magnetic fields on the flow velocity produced by the micropump have been investigated. Finally, the comparison of numerical results with the experimental data issued by other researchers proved that the presented method simulates the fluid flow with a good agreement and the least amount of time and cost.