The three dimensional Chern-Simons theory on $\rr^2_{ \theta}\times \rr$ is studied. Considering the gauge transformations under the group elements which are going to one at infinity, we show that under arbitrary (finite) gauge transformations action changes with an integer multiple of $2\pi$ { \it if}, the level of noncommutaitive Chern-Simons is { \it quantized}. We also briefly discuss the case of the noncommutaitve torus and some other possible extensions.
Categories: hep-th