  In this paper the hamiltonian analysis of the pure Chern-Simons theory on the
noncommutative plane is performed. We use the techniques of geometric
quantization to show that the classical reduced phase space of the theory has
nontrivial topology and that quantization of the symplectic structure on this
space is possible only if the Chern-Simons coefficient is quantized. Also we
show that the physical Hilbert space of the theory is one dimensional and give
an explicit expression for the vacuum wavefunction. This vacuum state is found
to be related to the noncommutative Wess-Zumino-Witten action.
