  In this paper, we introduce the concept of transposed BiHom-Poisson (abbr.
TBP) algebras which can be constructed by the BiHom-Novikov-Poisson algebras.
Several useful identities for TBP algebras are provided. We also prove that the
tensor product of two (T)BP algebras are closed. The notions of BP 3-Lie
algebras and TBP 3-Lie algebras are presented and TBP algebras can induce TBP
3-Lie algebras by two approaches. Finally, we give some examples for the TBP
algebras of dimension 2.
