  In this paper we show the renormalizability of the translation invariant
noncommutative Chern-Simons theory, motivated by the work done on
noncommutative scalar field theory [06]. We add a new term to the bilinear part
of the action. In addition, we prove, the finiteness of the theory at one- and
two-loop level despite this modification. Finally we perform the one-loop two
point functions of the gluon contribution.
