Hadron—nucleus cross sections determine the hadron shower development in matter. Here we describe cross section models developed in the framework of the Geant4 toolkit, that is the main software package used for simulation of the LHC experiments. The simulation accuracy contributes to the systematic uncertainty of the experimental measurements. Other applications including the NICA collider experiments are discussed in terms of the Geant4 parameterisation method accuracy for the hadron—nucleus cross sections. It is shown that the parameterisations used are applicable in a wide energy range from threshold to very high energies and for all materials utilized in the experimental facilities.