We　use　the　improved　Faddeev-Jackiw　quantization　method　to　quantize　the　electromagnetic　field　and　its　Lagrange　multiplier　fields.　The　method＇s　comparison　with　the　usual　Faddeev-Jackiw　method　and　the　Dirac　method　is　given.　We　show　that　this　method　is　equivalent　to　the　Dirac　method　and　also　retains　all　the　merits　of　the　usual　Faddeev-Jackiw　method.　Moreover,　it　is　simpler　than　the　usual　one　if　one　needs　to　obtain　new　secondary　constraints.　Therefore,　the　improved　Faddeev-Jackiw　method　is　essential.　Meanwhile,　we　find　the　new　meaning　of　the　Lagrange　multipliers　and　explain　the　Faddeev-Jackiw　generalized　brackets　concerning　the　Lagrange　multipliers.