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Based on the conception of quantum entanglement of Einstein-Podolsky-Rosen weconstruct generalized phase space representation associated with the entangledstate |Gamma>_{e}, which is endowed with definite physical meaning. The set ofstates make up a complete and non-orthogonal representation. The Weyl orderedform of |Gamma>_{ee}_<Gamma| is derived which clearly exhibit the statisticalbehavior of marginal distribution of |Gamma>_{ee}_<Gamma|.The minimumuncertainty relation obeyed by |Gamma>_{e} is also demonstrated.

Entangled state for constructing generalized phase space representation and its statistical behavior