  The purpose of this paper is to introduce the notion of noncommutative
BiHom-pre-Poisson algebra. Also we establish the bimodules and matched pairs of
noncommutative BiHom-(pre)-Poisson algebras and related relevant properties are
also given. Finally, we exploit the notion of $\mathcal{O}$-operator to
illustrate the relations existing between noncommutative BiHom-Poisson and
noncommutative BiHom pre-Poisson algebras.
