  The goal of this paper is to introduce BiHom-Poisson color algebras and give
various constructions by using some specific maps such as morphisms. We
introduce averaging operator and element of centroid for BiHom-Poisson color
algebras and point out that BiHom-Poisson color algebras are closed under
averaging operators and elements of centroid. We also show that any regular
BiHom-associative color algebra leads to BiHom-Poisson color algebra via the
commutator bracket. Then we prove that any BiHom-Poisson color algebra together
with Rota-Baxter operator or multiplier give rises to another BiHom-Poisson
color algebra. Next, we show that tensor product of any BiHom-associative color
algebra and any BiHom-Poisson color algebra is also a BiHom- Poisson color
algebra
