Abstract: The purpose of this paper is to generalize to ℤ2-graded case the study of Hom-Lie bialgebras which were discussed first by D. Yau, then by Y. Sheng and C. Bai. We first provide various constructions of Hom-Lie superbialgebras and a classification of 3-dimensional Hom-Lie superbialgebras with 2-dimensional even part. Moreover, we study coboundary and triangular Hom-Lie superbialgebras, as well as infinitesimal deformations of the cobracket. Furthermore, following Sheng and Bai we define matched pairs, Manin supertriples and discuss their relationships.