  The purpose of this paper is to study some results of constructions on
Hom-Poisson superal-gebras we use the representations and Rota-Baxter
operators. We introduce the structures ofn-ary Hom-Nambu Poisson superalgebras
and their representations and we study relationships between
Hom-Poissonsuperalgebras and its inducedn-ary Hom-Nambu Poisson superalgebras.
The same concept is given for therepresentations ofn-ary Hom-Nambu Poisson
superalgebras.
