On behalf of the Geant4 CollaborationAntiproton-proton, antiproton-nucleus and antinucleus-nucleus interactions are considered in Dual-Parton or Quark-Gluon-String model. The model assumes creation and fragmentation of quark-gluon strings in the interactions. Cross sections of various processes of the creation are determined by an analysis of experimental data on antiproton-proton interactions. Geant4 LUND fragmentation model is used for the simulation of the string fragmentations. As a result, a good description of a wide set of experimental data is reached.A generalization of the approach for antiproton-nucleus and antinucleus-nucleus interactions requires a knowledge of total and inelastic cross sections of these processes. The cross sections are calculated in the Glauber approximation. Good results are obtained for all experimentally known cross sections.Usually, the asymptotic Abramovsky-Gribov-Kancheli (AGK) cutting rules are applied for a determination of the multiplicity of produced strings. We propose finite energy corrections to the AGK rules for an extension of the model to low energy domain. Using the cutting rules and the corrections, we describe antiproton-nucleus interactions starting from low energies (E > 50 MeV) up to 1000 GeV. We also reproduce known experimental data on antideuteron interactions with nuclei.So, we have created a unified model of antiproton-proton, antiproton-nucleus and light antinucleus-nucleus interactions. The model reproduces general properties of the interactions. The model is implemented in the FTF model of Geant4 toolkit and can be accessed using the FTF_BERT PhysicsList.