  The purpose of this paper is to provide and study a Hom-type generalization
of Jordan-Malcev-Poisson algebras, called Hom-Jordan-Malcev-Poisson algebras.
We show that they are closed under twisting by suitable self-maps and give a
characterization of admissible Hom-Jordan-Malcev-Poisson algebras. In addition,
we introduce the notion of pseudo-Euclidian Hom-Jordan-Malcev-Poisson algebras
and describe its $T^*$-extension. Finally, we generalize the notion of
Lie-Jordan-Poisson triple system to the Hom setting and establish its
relationships with Hom-Jordan-Malcev-Poisson algebras.
