Some recent results of recrystallization process modelling are reported. The role of the stored energy is discussed and underlined. Its orientation distribution explains qualitatively the direction of texture transition during recrystallization process in low-carbon steel, which suggests the predominance of oriented nucleation in these materials. On the other hand, the oriented growth behaviour dominates in f.c.c. metals. Phenomenological laws state that only nuclei having a specified misorientations with the deformed matrix grow intensively (30(0)-50(0) rotations around <111>), which lead in general to good texture predictions. A complete description of the recrystallization process is offered by Monte Carlo modelling. Stored and boundary energies and micro-structure are input parameters of this model. Good predictions of final material characteristics are obtained and they are presented in the case of rolled copper.