  First a description of 2+1 dimensional non-commutative(NC) phase space is
presented, where the deformation of the planck constant is given. We find that
in this new formulation, generalized Bopp's shift has a symmetric
representation and one can easily and straightforwardly define the star product
on NC phase space. Then we define non-commutative Lorentz transformations both
on NC space and NC phase space. We also discuss the Poincare symmetry. Finally
we point out that our NC phase space formulation and the NC Lorentz
transformations can be applicable to any even dimensional NC space and NC phase
space.
