According　to　the　method　of　path　integral　quantization　for　the　canonical　constrained　system　in　Faddeev-Senjanovic　scheme,　we　quantize　the　supersymmetrical　electrodynamic　system　in　general　situation,　and　obtain　the　generating　functional　of　Green　function.　Another　first　class　constraint　is　obtained　by　making　the　linear　combination　of　several　primary　constraints,　the　generator　of　gauge　transformation　is　constructed,　gauge　transformations　of　all　the　different　fields　are　deduced.　Utilizing　the　consistency　equation　of　gauge　fixing　condition　to　deduce　another　gauge　fixing　condition,　we　find　that　the　secondary　constraint　of　the　system　is　an　Euler-Lagrange　equation　which　is　just　the　conversation　law　of　electric　charge.　Thus,　we　do　not　need　to　calculate　the　other　secondary　constraints　step　by　step,　and　get　no　new　constraints　naturally.　So,　the　Faddeev-Senjanovic　path　integral　quantization　of　the　supersymmetrical　electrodynamic　system　is　simplified.