Abstract: We constructed Leibniz action and crossedmodule of Leibniz superalgebras, and gave the definition of Leibniz superpairs and non-Abelian tensor product of Leibniz superalgebras. Based on the structure of non\|Abelian  tensor product of Leibniz superalgebras, we obtained the related results of short exact sequence and homomorphism of Leibniz superalgebras.

Key words: Leibniz action, non\, Abelian tensor product, Leibniz superalgebras, semidirect product