We study a non-Abelian Chem-Simons gauge theory in 2 + 1 dimensions wi
th the inclusion of an anomalous magnetic interaction. For a particula
r relation between the Chem-Simons (CS) mass and the anomalous magneti
c coupling the equations for the gauge fields reduce from second- to f
irst-order differential equations of the pure CS type. We derive the B
ogomol'nyi-type or self-dual equations for a Phi(2) scalar potential,
when the scalar and topological masses are equal. The corresponding vo
rtex solutions carry magnetic flux that is not quantized due to the no
n-topological nature of the solitons. However, as a consequence of the
quantization of the CS term, both the electric charge and angular mom
entum are quantized.