摘要：A version of the twisted Poincar duality is proved between thePoisson homology and cohomology of a polynomial Poisson algebra withvalues in an arbitrary Poisson module. The duality is achieved bytwisting the Poisson module structure in a canonical way, which is
constructed from the modular derivation. In the case of the Poissonstructure is unimodular, the twisted Poincar duality reduces tothe Poincar duality in usual sense. The main result generalizes the work of Launois-Richard for the quadratic Poisson structures and Zhu for the linear Poisson structures.