Our previous study showed that amorphous HfO₂, ZrO₂, TiO₂, In₂O₃, Ga₂O₃, Al₂O₃, and Cu₂O adopt dual-random-sphere-packing (Dual-RSP) structures. Since crystalline Li₂O adopts a dual-crystalline-sphere-packing structure, namely the superposition of the simple cubic structure of lithium and the face-centered-cubic structure of oxygen, it is also expected that liquid and amorphous Li₂O adopt Dual-RSP structures. In this paper, to verify this, we performed ab initio molecular dynamics simulations. Our results show that the Dual-RSP model is also applicable to liquid and amorphous Li₂O.