In this paper we introduce a class of graded Poisson color algebras as a natural generalization of graded Poisson algebras and graded Poisson superalgebras. For Λ an arbitrary abelian group, we show that any of such Λ-graded Poisson color algebra P, with a symmetric Λ-support is of the form P = U ⊕ P j Ij , with U a subspace of P1 and any Ij a well described graded ideal of P, satisfying {Ij , Ik} + Ij Ik = 0 if j ̸= i. Furthermore, under certain conditions, the gr-simplicity of P is characterized and it is shown that P is the direct sum of the family of its graded simple ideals.