We　derive　incompressible　e-MHD　equations　from　compressible　Euler-Maxwell　equations　via　the　quasi-neutral　regime.　Under　the　assumption　that　the　initial　data　are　well　prepared　for　the　electric　density,　electric　velocity,　and　magnetic　field　(but　not　necessarily　for　the　electric　field),　the　convergence　of　the　solutions　of　the　compressible　Euler-Maxwell　equations　in　a　torus　to　the　solutions　of　the　incompressible　e-MHD　equations　is　justified　rigorously　by　studies　on　a　weighted　energy.　One　of　the　main　ingredients　for　establishing　uniform　a　priori　estimates　is　to　use　the　curl-div　decomposition　of　the　gradient　and　the　wave-type　equations　of　the　Maxwell　equations.