In this work, results obtained from the kinetic Monte Carlo (KMC) simulations are presented. The KMC is based on embedded‐atom method (EAM) energetics findings. The evolution of the surface morphology in Au/Cu(110) is investigated. All activation barriers are calculated by the EAM method and used in the anisotropic bond‐breaking model (ABBM). In this study, the effects of substrate temperature and deposition rate are taken into account, with the coverage rate equal to 5%. The results show the transition from 1D to 2D in the morphology of the monolayer when the temperature increases. However, when the flux decreases the density of islands increases. During monolayer evolution, many phenomena are observed such as nucleation, coalescence, evolution of island density, and geometry transition.