A Monte Carlo model was developed to simulate the texture development during electrodeposition. In the model, a two-dimensional triangle lattice was used to map the microstructure of the deposit. As the deposit grew, previously empty lattice sites were occupied layer by layer. Each occupied lattice site was assigned an integer number to represent the orientation of the grain to which the site belonged. The authors proposed a minimum-energy texturing mechanism, which states that the texture evolution results from the minimization of the system’s free energy. Two energy components were considered responsible for the texture formation : the surface energy and the magnetic energy (when the deposition is conducted in external magnetic fields). In this paper, the simulation model of texture evolution has been described, and various parameters of the model have been tested and discussed.