A numerical study is conducted to examine the liquid metal MHD flow in a diverging microchannel. The study focuses on the effect of Hartmann number and Reynolds number on flow characteristics. Mercury is used as a working fluid, and the flow is considered as steady, laminar, and incompressible. A finite volume method with suitable boundary conditions is employed to conduct the numerical computations. The study covered Hartmann number (Ha) ranges from 0 to 100, and Reynolds numbers (Re) ranges from 500 to 1000. The results of the investigation showed that at a constant Reynolds number, an increase in Hartmann number led to a decrease in the core velocity by 56% while velocity increased near the sidewalls by 182%. Whereas at a constant Hartmann number, an increase in Reynolds number resulted in higher core velocity as well as velocity near the walls. It has also been observed that as Hartmann number increases, there is a corresponding increase in the thickness of the Hartmann layer while it is independent of Reynolds number of the fluid flow.