In　this　paper,　we　prove　the　global　(-in-Time)　existence　of　strong　solutions　for　the　non-resistive　MHD-Boussinesq　system　under　some　class　of　large　initial　perturbations.　We　work　in　Lagrangian　coordinates　and　employ　careful　energy　estimates　to　establish　the　global　existence　result　of　unique　solutions　with　the　additional　assumptions　that　the　initial　data　enjoy　the　frozen　condition　and　the　odevity　conditions.　Our　new　result　generalizes　the　known　small　perturbations　theory　[7].　©　2025　Copyright　held　by　the　owner/author(s).