The　combined　quasi-neutral　and　non-relativistic　limit　of　compressible　Navier-Stokes-Maxwell　equations　for　plasmas　is　studied.　For　well-prepared　initial　data,　it　is　shown　that　the　smooth　solution　of　compressible　Navier-Stokes-Maxwell　equations　converges　to　the　smooth　solution　of　incompressible　Navier-Stokes　equations　by　introducing　new　modulated　energy　functional.