Abstract: Using representations and cohomologies of HomJordan Lie superalgebra T, we gave  that the necessary  and sufficient conditions for constructing HomJordan Lie superalgebra TV and proved that equivalent abelian extensions of Hom-Jordan Lie superalgebras gave the same representation. Then, we obtained a 2-cocycle by means of representations and abelian extensions.

Key words: Hom-Jordan Lie superalgebra, representation, 2-cocycle, abelian extension