  The aim of this paper is to introduce the notion of BiHom-Lie superalgebras.
This class of algebras is a generalization of both BiHom-Lie algebras and
Hom-Lie superalgebras. In this article, we first present two ways to construct
BiHom-Lie superalgebras from BiHom-associative superalgebras and Hom-Lie
superalgebras by Yau's twist principle. Also, we explore some general classes
of BiHom-Lie admissible superalgebras and describe all these classes via
$G$-BiHom-associative superalgebras, where $G$ is a subgroup of the symmetric
group $S_{3}$. Finally, we discuss the concept of $\beta^{k}$-derivation of
BiHom-Lie superalgebras and prove that the set of all $\beta^{k}$-derivation
has a natural BiHom-Lie superalgebra structure.
