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In the present study, analysis has been performed to investigate the surface radiation effect on hydro-magnetic buoyant convection of an electrically conducting fluid in a differentially heated cavity. The fluid is enclosed within a gray chamber and imposed with a uniform magnetic field orthogonal to the vertical cross-sectional plane of the chamber. Numerical solution is done by control volume integration. A modified Marker and Cell method is used for the solution of the governing equation for flow transport. A gradient-dependent consistent hybrid upwind scheme of second order is used for discretization of the convective terms. The transport equation for surface radiation is solved using a net radiation method. Cross-string method is used to compute the view factor. Comprehensive studies on the controlling parameters that affect the flow and heat transfer characteristics are delineated. The results are presented in tabular and graphical form. The heat transfer and flow characteristics are depicted in form of isotherms and streamlines revealing the concealed physics of a complex phenomenon. [ABSTRACT FROM AUTHOR]