Galdi　(Arch.　Ration.　Mech.　Anal.　87　(1985)　167-186)　proved　that　a　uniform　magnetic　field　generally　inhibits　the　development　of　instability　in　the　nonlinear　magnetic　Rayleigh-Benard　problem.　More　recently,　Jiang-Jiang　(J.　Math.　Pures　Appl.　141　(2020)　220-265)　further　demonstrated　the　nonlinear　stability　of　the　magnetic　Rayleigh-Benard　problem　with　zero　resistivity,　considering　small　initial　perturbations.　In　this　paper,　we　investigate　the　nonlinear　stability　of　the　incompressible,　viscous　and　non-resistive　magnetic　Benard　equations　with　large　initial　perturbations,　in　two-dimensional　periodic　domains.　Assuming　that　the　initial　data　possess　reflection　symmetry,　we　prove　that　a　strong　(impressive)　magnetic　field　inhibits　instability　in　the　magnetic　Rayleigh-Benard　problem,　even　when　the　initial　velocity　and　temperature　are　properly　large　in　Lagrangian　coordinates.　Our　proof　is　based　on　a　two-tier　energy　method　and　an　idea　of　magnetic　inhibition　mechanism.　In　addition,　the　algebraic　decay-in-time　is　provided.