The unsteady MHD Bingham fluid flow through two non-conducting parallel plates with Ion- slip and Hall current has been studied numerically. The non-linear partial differential coupled equations, governing the problem under consideration, have been transformed by using usual transformations into a system of partial differential equations. The stability and convergence criteria have been analyzed. The obtained dimensionless governing equations have been solved numerically by applying the explicit finite difference method by MATLAB and FORTRAN both. The impact of various interesting parameters on the flow pattern and on the shear stress and Nusselt number have been analyzed and discussed graphically in details by using MATLAB and FORTRAN. In case of uniform suction the Hall and ion-slip effects on unsteady MHD Bingham fluid flow through two non-conducting parallel plates has also been studied numerically. Fainally, the important findings are illustrated graphically.