  In this paper, we study the non-commutative Chern-Simons description of the
hierarchy of quantum Hall states. Our method is based on the framework
suggested by Susskind in hep-th/0101029. By using the area preserving
diffeomorphism gauge symmetry of quasiparticle fluid, we show that
non-commutative Chern-Simons description of the hierarchy construction of
quantum Hall states with generic filling fraction can be realized in Susskind's
approach. The relationship between our model and the pervious work on the
effective field theory of quantum Hall states is also discussed.
