  A holomorphic toric Poisson manifold is a nonsingular toric variety equipped
with a holomorphic Poisson structure, which is invariant under the torus
action. In this paper, we computed the Poisson cohomology groups for all
holomorphic toric Poisson structures on $CP^n$, with the stand Poisson
structure on $CP^n$ as a special case. We also computed the algebraic and the
formal Poisson cohomology groups of holomorphic toric Poisson structures on
$C^n$.
