The　Faddeev　and　Jackiw　procedure　for　the　quantization　of　constrained　gauge　systems　is　used　on　the　analysis　of　an　interacting　electron-phonon　model　including　Chern-Simons　term.　The　generalized　FJ　brackets　of　this　system　with　first-class　constraints　are　found　by　removing　the　singularity　in　the　symplectic　matrix.　This　was　done　by　adding　the　gauge-fixing　term　in　the　symplectic　potential.　Compared　to　Dirac＇s　method,　this　Faddeev　and　Jackiw　approach　is　quite　straightforward　for　these　systems.