  We discuss the generalized Yang Poisson models. We construct generalizations
of the Yang Poisson algebra related to $\mathfrak{o}(1,5)$ algebra discussed by
Meljanac and Mignemi (2023). The exact realizations of this generalized algebra
on canonical phase space are presented and the corresponding differential
equations are solved in simple cases. Furthermore, we discuss the Poisson
algebras related to $\mathfrak{o}(3,3)$ and $\mathfrak{o}(2,4)$ algebras.
