With　the　Coulomb　gauge,　the　Chern-Simons-Georgi-Glashow　(CSGG)　model　is　quantized　in　the　Dirac　formalism　for　the　constrained　system.　Combining　the　Gauss　law　and　Coulomb　gauge　consistency　condition,　the　difference　between　the　Schwinger　angular　momentum　and　canonical　angular　momentum　of　the　system　is　found　to　be　an　anomalous　spin.　The　reason　for　this　result　lies　in　the　fact　that　the　Schwinger　energy　momentum　tensor　and　the　canonical　one　have　different　symmetry　properties　in　the　presence　of　the　Chern-Simons　term.